{"id":1196,"date":"2026-11-09T15:46:49","date_gmt":"2026-11-09T15:46:49","guid":{"rendered":"https:\/\/academic.pargaidefenceacademy.in\/Class-9th\/?p=1196"},"modified":"2026-11-09T17:24:49","modified_gmt":"2026-11-09T17:24:49","slug":"propositions-and-their-converses","status":"publish","type":"post","link":"https:\/\/academic.pargaidefenceacademy.in\/Class-9th\/2026\/11\/09\/propositions-and-their-converses\/","title":{"rendered":"(\u0905\u0927\u094d\u092f\u093e\u092f 9: \u0938\u093e\u0927\u094d\u092f \u0914\u0930 \u0909\u0928\u0915\u0947 \u0935\u093f\u0932\u094b\u092e"},"content":{"rendered":"<div id=\"pl-1196\"  class=\"panel-layout\" ><div id=\"pg-1196-0\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-1196-0-0\"  class=\"panel-grid-cell\" ><div id=\"panel-1196-0-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"0\" ><div class=\"textwidget custom-html-widget\"><!-- ================= \u092c\u094d\u0932\u0949\u0915 1: \u0905\u0927\u094d\u092f\u093e\u092f \u0915\u093e \u092a\u0930\u093f\u091a\u092f (\u0905\u0927\u094d\u092f\u093e\u092f 1: \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917) ================= -->\n<div class=\"pargai-multislider\">\n    <div class=\"slider-header-section\">\n        <div class=\"header-main-title\">\u092d\u093e\u0917 1: \u0905\u0927\u094d\u092f\u093e\u092f 1 - \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 (\u092a\u0930\u093f\u091a\u092f \u090f\u0935\u0902 \u0907\u0924\u093f\u0939\u093e\u0938)<\/div>\n    <\/div>\n    \n    <!-- \u0938\u094d\u0932\u093e\u0907\u0921\u094d\u0938 \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u090f\u0930\u093f\u092f\u093e -->\n    <div class=\"slider-content-area\">\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 1 -->\n        <div class=\"pargai-slide active-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 1: \u0905\u0927\u094d\u092f\u093e\u092f \u0915\u0940 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e:<\/b><\/p>\n            <p>\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 (Coordinate System) \u090f\u0915 \u0910\u0938\u093e \u0938\u0902\u0930\u091a\u093f\u0924 \u0922\u093e\u0902\u091a\u093e \u0939\u0948 \u091c\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0940 \u092e\u0926\u0926 \u0938\u0947 \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937 \u092f\u093e \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0914\u0930 \u0935\u0938\u094d\u0924\u0941\u0913\u0902 \u0915\u0940 \u0938\u091f\u0940\u0915 \u092d\u094c\u0924\u093f\u0915 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u092e\u0947\u0902 \u0938\u0915\u094d\u0937\u092e \u092c\u0928\u093e\u0924\u0940 \u0939\u0948[cite: 1]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 2 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 2: \u0938\u093f\u0902\u0927\u0941-\u0938\u0930\u0938\u094d\u0935\u0924\u0940 \u0938\u092d\u094d\u092f\u0924\u093e \u0915\u093e \u092f\u094b\u0917\u0926\u093e\u0928:<\/b><\/p>\n            <p>\u092d\u093e\u0930\u0924 \u092e\u0947\u0902 \u0917\u094d\u0930\u093f\u0921 \u0906\u0927\u093e\u0930\u093f\u0924 \u0938\u094b\u091a \u0914\u0930 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u0915\u0940 \u0917\u0939\u0930\u0940 \u0910\u0924\u093f\u0939\u093e\u0938\u093f\u0915 \u091c\u0921\u093c\u0947\u0902 \u0939\u0948\u0902\u0964 \u0938\u093f\u0902\u0927\u0941-\u0938\u0930\u0938\u094d\u0935\u0924\u0940 \u0938\u092d\u094d\u092f\u0924\u093e \u092e\u0947\u0902 \u0939\u091c\u093e\u0930\u094b\u0902 \u0938\u093e\u0932 \u092a\u0939\u0932\u0947 \u0909\u0924\u094d\u0924\u0930-\u0926\u0915\u094d\u0937\u093f\u0923 \u0914\u0930 \u092a\u0942\u0930\u094d\u0935-\u092a\u0936\u094d\u091a\u093f\u092e \u0926\u093f\u0936\u093e\u0913\u0902 \u092e\u0947\u0902 \u0932\u0917\u092d\u0917 10 \u092e\u0940\u091f\u0930 \u0915\u0940 \u090f\u0915\u0938\u092e\u093e\u0928 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0938\u091f\u0940\u0915 \u0938\u0921\u093c\u0915\u094b\u0902 \u0915\u093e \u0928\u093f\u0930\u094d\u092e\u093e\u0923 \u0939\u0941\u0906 \u0925\u093e[cite: 1]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 3 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 3: \u092c\u094c\u0927\u093e\u092f\u0928 \u0914\u0930 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0930\u091a\u0928\u093e:<\/b><\/p>\n            <p>\u092a\u094d\u0930\u093e\u091a\u0940\u0928 \u092d\u093e\u0930\u0924\u0940\u092f \u0917\u0923\u093f\u0924\u091c\u094d\u091e \u092c\u094c\u0927\u093e\u092f\u0928 (\u0932\u0917\u092d\u0917 800 \u0908.\u092a\u0942.) \u0928\u0947 \u0917\u0939\u0930\u0940 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0930\u091a\u0928\u093e\u0913\u0902 \u0915\u0947 \u0932\u093f\u090f \u092a\u0942\u0930\u094d\u0935-\u092a\u0936\u094d\u091a\u093f\u092e \u0914\u0930 \u0909\u0924\u094d\u0924\u0930-\u0926\u0915\u094d\u0937\u093f\u0923 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e, \u091c\u093f\u0938\u0938\u0947 '\u092c\u094c\u0927\u093e\u092f\u0928-\u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f' \u0915\u0940 \u0928\u0940\u0902\u0935 \u092a\u0921\u093c\u0940[cite: 1]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 4 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 4: \u0909\u091c\u094d\u091c\u0948\u0928 (\u0909\u091c\u094d\u091c\u092f\u093f\u0928\u0940) \u0915\u093e \u0910\u0924\u093f\u0939\u093e\u0938\u093f\u0915 \u092e\u0939\u0924\u094d\u0935:<\/b><\/p>\n            <p>\u091a\u094c\u0925\u0940 \u0936\u0924\u093e\u092c\u094d\u0926\u0940 \u0908\u0938\u093e \u092a\u0942\u0930\u094d\u0935 \u0938\u0947 \u0909\u091c\u094d\u091c\u092f\u093f\u0928\u0940 \u0915\u094b \u0915\u0947\u0902\u0926\u094d\u0930\u0940\u092f \u0926\u0947\u0936\u093e\u0902\u0924\u0930 \u092e\u0927\u094d\u092f\u093e\u0939\u094d\u0928 (central longitude meridian) \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u092e\u093e\u0928\u093e \u091c\u093e\u0924\u093e \u0925\u093e, \u091c\u0939\u093e\u0901 \u0938\u0947 \u092a\u094d\u0930\u093e\u091a\u0940\u0928 \u0926\u0941\u0928\u093f\u092f\u093e \u092e\u0947\u0902 \u0905\u0928\u094d\u092f \u0938\u092d\u0940 \u0938\u094d\u0925\u093e\u0928\u094b\u0902 \u0915\u0940 \u0926\u0942\u0930\u093f\u092f\u093e\u0901 \u092e\u093e\u092a\u0940 \u091c\u093e\u0924\u0940 \u0925\u0940\u0902[cite: 1]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 5 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 5: \u092c\u094d\u0930\u0939\u094d\u092e\u0917\u0941\u092a\u094d\u0924 \u0914\u0930 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901:<\/b><\/p>\n            <p>\u092c\u094d\u0930\u0939\u094d\u092e\u0917\u0941\u092a\u094d\u0924 (\u0932\u0917\u092d\u0917 628 \u0908.) \u0928\u0947 \u0936\u0942\u0928\u094d\u092f \u0914\u0930 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u0930\u0942\u092a \u0926\u093f\u092f\u093e, \u091c\u093f\u0938\u0915\u0947 \u092c\u093f\u0928\u093e \u0906\u0927\u0941\u0928\u093f\u0915 \u091a\u093e\u0930-\u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 (four-quadrant) \u0915\u093e\u0930\u094d\u0924\u0940\u092f \u0924\u0932 \u0915\u0940 \u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0930\u0928\u093e \u0905\u0938\u0902\u092d\u0935 \u0925\u093e[cite: 1]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 6 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 6: \u0930\u0947\u0928\u0947 \u0926\u0947\u0915\u093e\u0930\u094d\u0924 (Ren\u00e9 Descartes) \u0915\u093e \u092f\u094b\u0917\u0926\u093e\u0928:<\/b><\/p>\n            <p>17\u0935\u0940\u0902 \u0936\u0924\u093e\u092c\u094d\u0926\u0940 \u092e\u0947\u0902 \u0930\u0947\u0928\u0947 \u0926\u0947\u0915\u093e\u0930\u094d\u0924 (1637 \u0908.) \u0928\u0947 \u092f\u0939 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u0930\u0942\u092a \u0926\u093f\u092f\u093e \u0915\u093f \u0926\u094d\u0935\u093f\u0926\u093f\u0936\u0940\u092f (2-D) \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092d\u0940 \u092c\u093f\u0902\u0926\u0941 \u0915\u094b \u0926\u094b \u0932\u0902\u092c\u0935\u0924 \u0905\u0915\u094d\u0937\u094b\u0902 \u0938\u0947 \u0909\u0938\u0915\u0940 \u0926\u0942\u0930\u093f\u092f\u094b\u0902 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0938\u091f\u0940\u0915 \u0930\u0942\u092a \u0938\u0947 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948[cite: 2]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 7 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 7: \u0935\u094d\u092f\u093e\u0935\u0939\u093e\u0930\u093f\u0915 \u0915\u0939\u093e\u0928\u0940 (\u0930\u0947\u0907\u0906\u0928 \u0914\u0930 \u0936\u093e\u0932\u093f\u0928\u0940):<\/b><\/p>\n            <p>\u0907\u0938 \u0905\u0927\u094d\u092f\u093e\u092f \u0915\u0940 \u0936\u0941\u0930\u0941\u0906\u0924 \u090f\u0915 \u092a\u094d\u0930\u0947\u0930\u0923\u093e\u0926\u093e\u092f\u0915 \u0915\u0939\u093e\u0928\u0940 \u0938\u0947 \u0939\u094b\u0924\u0940 \u0939\u0948 \u091c\u0939\u093e\u0901 \u0936\u093e\u0932\u093f\u0928\u0940 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0905\u092a\u0928\u0947 \u092d\u093e\u0908 \u0930\u0947\u0907\u0906\u0928 \u0915\u094b \u0928\u090f \u0915\u092e\u0930\u0947 \u0915\u0947 \u0932\u0947\u0906\u0909\u091f \u0914\u0930 \u0935\u0938\u094d\u0924\u0941\u0913\u0902 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u094b \u091b\u0942\u0915\u0930 \u092e\u0939\u0938\u0942\u0938 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u092e\u0926\u0926 \u0915\u0930\u0924\u0940 \u0939\u0948[cite: 2, 3]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 8 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 8: 2-D \u0915\u093e\u0930\u094d\u0924\u0940\u092f \u0938\u092e\u0928\u094d\u0935\u092f \u092a\u094d\u0930\u0923\u093e\u0932\u0940:<\/b><\/p>\n            <p>\u0907\u0938\u092e\u0947\u0902 \u0926\u094b \u092a\u0930\u0938\u094d\u092a\u0930 \u0932\u0902\u092c\u0935\u0924 \u0930\u0947\u0916\u093e\u090f\u0901 \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u2014\u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0930\u0947\u0916\u093e \u0915\u094b <b>x-\u0905\u0915\u094d\u0937 (x-axis)<\/b> \u0914\u0930 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0930\u0947\u0916\u093e \u0915\u094b <b>y-\u0905\u0915\u094d\u0937 (y-axis)<\/b> \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u0907\u0928\u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 \u0915\u094b <b>\u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 (Origin O)<\/b> \u0915\u0939\u0924\u0947 \u0939\u0948\u0902, \u091c\u093f\u0938\u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 $(0, 0)$ \u0939\u094b\u0924\u0947 \u0939\u0948\u0902[cite: 3]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 9 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 9: \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 (Quadrants) \u0914\u0930 \u091a\u093f\u0939\u094d\u0928 \u092a\u0930\u093f\u092a\u093e\u091f\u0940:<\/b><\/p>\n            <p>\u0905\u0915\u094d\u0937 \u0938\u092e\u0924\u0932 \u0915\u094b \u091a\u093e\u0930 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0902\u091f\u0924\u0947 \u0939\u0948\u0902 \u091c\u093f\u0928\u094d\u0939\u0947\u0902 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u0925\u092e \u092e\u0947\u0902 $(+, +)$, \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u092e\u0947\u0902 $(-, +)$, \u0924\u0943\u0924\u0940\u092f \u092e\u0947\u0902 $(-, -)$ \u0914\u0930 \u091a\u0924\u0941\u0930\u094d\u0925 \u092e\u0947\u0902 $(+, -)$ \u091a\u093f\u0939\u094d\u0928 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902[cite: 6, 7]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 10 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 10: \u0926\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940:<\/b><\/p>\n            <p>\u092c\u094c\u0927\u093e\u092f\u0928-\u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0939\u092e \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0915\u093f\u0928\u094d\u0939\u0940\u0902 \u092d\u0940 \u0926\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 $(x_1, y_1)$ \u0914\u0930 $(x_2, y_2)$ \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0938\u0942\u0924\u094d\u0930 $\\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ \u0938\u0947 \u0906\u0938\u093e\u0928\u0940 \u0938\u0947 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u093e \u0938\u0940\u0916\u0924\u0947 \u0939\u0948\u0902[cite: 10, 11]\u3002<\/p>\n        <\/div>\n\n    <\/div>\n\n    <!-- \u0928\u0947\u0935\u093f\u0917\u0947\u0936\u0928 \u092b\u0941\u091f\u0930 -->\n    <div class=\"slider-footer-section\">\n        <button class=\"slider-nav-btn btn-prev\">\u092a\u093f\u091b\u0932\u093e (Prev)<\/button>\n        <span class=\"slider-page-counter\">1 \/ 10<\/span>\n        <button class=\"slider-nav-btn btn-next\">\u0905\u0917\u0932\u093e (Next)<\/button>\n    <\/div>\n<\/div><\/div><\/div><\/div><\/div><div id=\"pg-1196-1\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-1196-1-0\"  class=\"panel-grid-cell\" ><div id=\"panel-1196-1-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"1\" ><div class=\"textwidget custom-html-widget\"><!-- ================= \u092c\u094d\u0932\u0949\u0915 2: \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0914\u0930 \u0928\u093f\u092f\u092e (\u0905\u0927\u094d\u092f\u093e\u092f 1: \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f) ================= -->\n<div class=\"pargai-multislider\">\n    <div class=\"slider-header-section\">\n        <div class=\"header-main-title\">\u092d\u093e\u0917 2: \u092e\u0941\u0916\u094d\u092f \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0914\u0930 \u0928\u093f\u092f\u092e (Theory & Concepts)<\/div>\n    <\/div>\n    \n    <!-- \u0938\u094d\u0932\u093e\u0907\u0921\u094d\u0938 \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u090f\u0930\u093f\u092f\u093e -->\n    <div class=\"slider-content-area\">\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 1 -->\n        <div class=\"pargai-slide active-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 1: 2-D \u0915\u093e\u0930\u094d\u0924\u0940\u092f \u0938\u092e\u0928\u094d\u0935\u092f \u092a\u094d\u0930\u0923\u093e\u0932\u0940 (Cartesian Coordinate System):<\/b><\/p>\n            <p>\u0926\u094d\u0935\u093f\u0926\u093f\u0936\u0940\u092f (2-D) \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937 \u092e\u0947\u0902 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u094b \u091a\u093f\u0939\u094d\u0928\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0926\u094b \u092a\u0930\u0938\u094d\u092a\u0930 \u0932\u0902\u092c\u0935\u0924 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0930\u0947\u0916\u093e \u0915\u094b <b>x-\u0905\u0915\u094d\u0937<\/b> \u0914\u0930 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0930\u0947\u0916\u093e \u0915\u094b <b>y-\u0905\u0915\u094d\u0937<\/b> \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948[cite: 3]\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 2 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 2: \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 (Origin, O):<\/b><\/p>\n            <p>x-\u0905\u0915\u094d\u0937 \u0914\u0930 y-\u0905\u0915\u094d\u0937 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 \u0915\u094b \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 (Origin) \u0915\u0939\u0924\u0947 \u0939\u0948\u0902[cite: 3]\u0964 \u0907\u0938\u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u092e\u0947\u0936\u093e <b>(0, 0)<\/b> \u0939\u094b\u0924\u0947 \u0939\u0948\u0902[cite: 3]\u0964 \u092f\u0939\u0940\u0902 \u0938\u0947 \u0938\u092d\u0940 \u0926\u0942\u0930\u093f\u092f\u093e\u0901 \u092e\u093e\u092a\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948\u0902[cite: 3]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 3 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 3: \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u0940 \u091a\u093f\u0939\u094d\u0928 \u092a\u0930\u093f\u092a\u093e\u091f\u0940 (Sign Conventions):<\/b><\/p>\n            <p>\u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0926\u093e\u0908\u0902 \u0913\u0930 \u092f\u093e \u090a\u092a\u0930 \u0915\u0940 \u0926\u0942\u0930\u093f\u092f\u093e\u0901 <b>\u0927\u0928\u093e\u0924\u094d\u092e\u0915 (+)<\/b> \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u0924\u0925\u093e \u092c\u093e\u0908\u0902 \u0913\u0930 \u092f\u093e \u0928\u0940\u091a\u0947 \u0915\u0940 \u0926\u0942\u0930\u093f\u092f\u093e\u0901 <b>\u090b\u0923\u093e\u0924\u094d\u092e\u0915 (-)<\/b> \u0939\u094b\u0924\u0940 \u0939\u0948\u0902[cite: 3]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 4 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 4: \u0905\u0915\u094d\u0937\u094b\u0902 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915:<\/b><\/p>\n            <p>x-\u0905\u0915\u094d\u0937 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0915\u093f\u0938\u0940 \u092d\u0940 \u092c\u093f\u0902\u0926\u0941 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 <b>(x, 0)<\/b> \u0930\u0942\u092a \u0915\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902, \u0914\u0930 y-\u0905\u0915\u094d\u0937 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092c\u093f\u0902\u0926\u0941 \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 <b>(0, y)<\/b> \u0930\u0942\u092a \u0915\u0947 \u0939\u094b\u0924\u0947 \u0939\u0948\u0902[cite: 4, 15]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 5 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 5: \u091a\u093e\u0930 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 (Four Quadrants):<\/b><\/p>\n            <p>\u0905\u0915\u094d\u0937 \u0938\u092e\u0924\u0932 \u0915\u094b \u091a\u093e\u0930 \u092d\u093e\u0917\u094b\u0902 (\u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936) \u092e\u0947\u0902 \u092c\u093e\u0902\u091f\u0924\u0947 \u0939\u0948\u0902: \n               - Quadrant I: $(+, +)$<br>\n               - Quadrant II: $(-, +)$<br>\n               - Quadrant III: $(-, -)$<br>\n               - Quadrant IV: $(+, -)$[cite: 7, 15]\n            <\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 6 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 6: \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u0905\u0930\u094d\u0925 (x \u0914\u0930 y):<\/b><\/p>\n            <p>\u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 P(x, y) \u092e\u0947\u0902 x \u0909\u0938\u0915\u0940 y-\u0905\u0915\u094d\u0937 \u0938\u0947 \u0932\u0902\u092c\u0935\u0924 \u0926\u0942\u0930\u0940 \u0939\u0948, \u0914\u0930 y \u0909\u0938\u0915\u0940 x-\u0905\u0915\u094d\u0937 \u0938\u0947 \u0932\u0902\u092c\u0935\u0924 \u0926\u0942\u0930\u0940 \u0939\u0948[cite: 6]\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 7 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 7: \u0905\u0915\u094d\u0937\u094b\u0902 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0926\u0942\u0930\u0940 (Distance Parallel to Axes):<\/b><\/p>\n            <p>\u092f\u0926\u093f \u0926\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 y-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0938\u092e\u093e\u0928 \u0939\u0948\u0902, \u0924\u094b \u0909\u0928\u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u0905\u0902\u0924\u0930 $|x_2 - x_1|$ \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938\u0940 \u092a\u094d\u0930\u0915\u093e\u0930 x \u0938\u092e\u093e\u0928 \u0939\u094b\u0928\u0947 \u092a\u0930 $|y_2 - y_1|$ \u0939\u094b\u0924\u0940 \u0939\u0948[cite: 15]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 8 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 8: \u092c\u094c\u0927\u093e\u092f\u0928-\u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f (Baudh\u0101yana-Pythagoras Theorem):<\/b><\/p>\n            <p>\u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u092e\u0947\u0902 \u0915\u0930\u094d\u0923 \u0915\u093e \u0935\u0930\u094d\u0917 \u0905\u0928\u094d\u092f \u0926\u094b \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u0935\u0930\u094d\u0917\u094b\u0902 \u0915\u0947 \u092f\u094b\u0917 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u0907\u0938\u0940 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0924\u093f\u0930\u091b\u0940 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0928\u093f\u0915\u093e\u0932\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948[cite: 9]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 9 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 9: \u0926\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 (Distance Formula):<\/b><\/p>\n            <p>\u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0915\u093f\u0928\u094d\u0939\u0940\u0902 \u092d\u0940 \u0926\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 $(x_1, y_1)$ \u0914\u0930 $(x_2, y_2)$ \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u093e \u0938\u093e\u0930\u094d\u0935\u092d\u094c\u092e\u093f\u0915 \u0938\u0942\u0924\u094d\u0930 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0939\u0948[cite: 11, 15]:<\/p>\n            <div class=\"math-formula\">$$\\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$<\/div>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 10 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 10: \u0926\u0930\u094d\u092a\u0923 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c (Mirror Reflection):<\/b><\/p>\n            <p>\u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 \u0915\u094b x-\u0905\u0915\u094d\u0937 \u092f\u093e y-\u0905\u0915\u094d\u0937 \u0915\u0947 \u092a\u0930\u093f\u0924\u0903 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 (reflect) \u0915\u0930\u0928\u0947 \u092a\u0930 \u0909\u0938\u0915\u0940 \u0926\u0942\u0930\u093f\u092f\u093e\u0901 \u0914\u0930 \u0906\u0915\u0943\u0924\u093f\u092f\u094b\u0902 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 (\u091c\u0948\u0938\u0947 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0915\u0940 \u092d\u0941\u091c\u093e\u090f\u0901) \u0905\u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0930\u0939\u0924\u0940 \u0939\u0948\u0902[cite: 11]\u3002<\/p>\n        <\/div>\n\n    <\/div>\n\n    <!-- \u0928\u0947\u0935\u093f\u0917\u0947\u0936\u0928 \u092b\u0941\u091f\u0930 -->\n    <div class=\"slider-footer-section\">\n        <button class=\"slider-nav-btn btn-prev\">&larr; \u092a\u0940\u091b\u0947<\/button>\n        <div class=\"slider-page-counter\">1 \/ 10<\/div>\n        <button class=\"slider-nav-btn btn-next\">\u0906\u0917\u0947 &rarr;<\/button>\n    <\/div>\n<\/div><\/div><\/div><\/div><\/div><div id=\"pg-1196-2\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-1196-2-0\"  class=\"panel-grid-cell\" ><div id=\"panel-1196-2-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"2\" ><div class=\"textwidget custom-html-widget\"><!-- ================= \u092c\u094d\u0932\u0949\u0915 3: \u0905\u092d\u094d\u092f\u093e\u0938 \u0915\u093e\u0930\u094d\u092f \u0914\u0930 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 (\u0905\u0927\u094d\u092f\u093e\u092f 1) ================= -->\n<div class=\"pargai-multislider\">\n    <div class=\"slider-header-section\">\n        <div class=\"header-main-title\">\u0905\u0927\u094d\u092f\u093e\u092f 9.1: \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 - \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 \u0939\u0932<\/div>\n    <\/div>\n    \n    <!-- \u0938\u094d\u0932\u093e\u0907\u0921\u094d\u0938 \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u090f\u0930\u093f\u092f\u093e -->\n    <div class=\"slider-content-area\">\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 1 -->\n        <div class=\"pargai-slide active-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 1: \u092a\u094d\u0930\u0936\u094d\u0928 1:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u0926\u094b\u0928\u094b\u0902 \u0905\u0915\u094d\u0937\u094b\u0902 (axes) \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 (point of intersection) \u0915\u0947 x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0914\u0930 y-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u094d\u092f\u093e \u0939\u0948\u0902?<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924):<\/b> \u0926\u094b\u0928\u094b\u0902 \u0905\u0915\u094d\u0937\u094b\u0902 (x-\u0905\u0915\u094d\u0937 \u0914\u0930 y-\u0905\u0915\u094d\u0937) \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 \u0915\u094b <b>\u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 (Origin, O)<\/b> \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u092e\u093e\u0928 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923):<\/b> \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 \u092a\u0930 x-\u0905\u0915\u094d\u0937 \u0914\u0930 y-\u0905\u0915\u094d\u0937 \u0926\u094b\u0928\u094b\u0902 \u0915\u0940 \u0926\u0942\u0930\u093f\u092f\u093e\u0901 \u0936\u0942\u0928\u094d\u092f \u0939\u094b\u0924\u0940 \u0939\u0948\u0902\u0964<\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u0905\u0924\u0903 x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 = 0 \u0914\u0930 y-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 = 0 \u0939\u094b\u0924\u093e \u0939\u0948, \u0914\u0930 \u0907\u0938\u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 <b>(0, 0)<\/b> \u0939\u094b\u0924\u0947 \u0939\u0948\u0902\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 2 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 2: \u092a\u094d\u0930\u0936\u094d\u0928 2:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u092c\u093f\u0902\u0926\u0941 W \u0915\u093e x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 5 \u0939\u0948\u0964 \u092c\u093f\u0902\u0926\u0941 H \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u094d\u092f\u093e \u0939\u094b\u0902\u0917\u0947 \u091c\u094b W \u0938\u0947 \u0917\u0941\u091c\u0930\u0928\u0947 \u0935\u093e\u0932\u0940 \u0914\u0930 y-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e \u092a\u0930 \u0939\u0948? H \u0915\u093f\u0938 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948?<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915):<\/b> \u091a\u0942\u0901\u0915\u093f \u092c\u093f\u0902\u0926\u0941 H, y-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948, \u0907\u0938\u0932\u093f\u090f \u0938\u092e\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e \u092a\u0930 x \u0915\u093e \u092e\u093e\u0928 \u0928\u093f\u092f\u0924 \u0930\u0939\u0924\u093e \u0939\u0948\u0964 \u0905\u0924\u0903 H \u0915\u093e x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u092d\u0940 5 \u0939\u094b\u0917\u093e\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923):<\/b> x \u0927\u0928\u093e\u0924\u094d\u092e\u0915 (+5) \u0939\u094b\u0928\u0947 \u0915\u0947 \u0915\u093e\u0930\u0923 \u092f\u0939 y-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0926\u093e\u0908\u0902 \u0913\u0930 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948\u0964<\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u092c\u093f\u0902\u0926\u0941 H \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 <b>(5, y)<\/b> \u0939\u094b\u0902\u0917\u0947 \u0914\u0930 \u092f\u0939 <b>\u092a\u094d\u0930\u0925\u092e (I) \u092f\u093e \u091a\u0924\u0941\u0930\u094d\u0925 (IV) \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936<\/b> \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u094b \u0938\u0915\u0924\u093e \u0939\u0948\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 3 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 3: \u092a\u094d\u0930\u0936\u094d\u0928 3:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u092c\u093f\u0902\u0926\u0941 R(3,0), A(0,-2), M(-5,-2), P(-5,2) \u0915\u094b \u092e\u093f\u0932\u093e\u0928\u0947 \u092a\u0930 (i) \u0932\u0902\u092c\u0935\u0924 \u092d\u0941\u091c\u093e\u090f\u0901 (ii) \u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u092d\u0941\u091c\u093e (iii) \u0926\u0930\u094d\u092a\u0923 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0938\u092e\u093e\u0902\u0924\u0930 \u092d\u0941\u091c\u093e):<\/b> \u092c\u093f\u0902\u0926\u0941 M(-5, -2) \u0914\u0930 A(0, -2) \u0915\u093e y-\u092e\u093e\u0928 \u0938\u092e\u093e\u0928 \u0939\u0948, \u0905\u0924\u0903 <b>\u092d\u0941\u091c\u093e MA<\/b> x-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u0948\u0964 \u0907\u0938\u0940 \u0924\u0930\u0939 <b>\u092d\u0941\u091c\u093e MP<\/b> y-\u0905\u0915\u094d\u0937 \u0915\u0947 \u0938\u092e\u093e\u0902\u0924\u0930 \u0939\u0948\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u0932\u0902\u092c\u0935\u0924 \u092d\u0941\u091c\u093e\u090f\u0901):<\/b> \u091a\u0942\u0901\u0915\u093f \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0914\u0930 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0930\u0947\u0916\u093e\u090f\u0901 \u0938\u092e\u0915\u094b\u0923 \u092a\u0930 \u092e\u093f\u0932\u0924\u0940 \u0939\u0948\u0902, \u0905\u0924\u0903 <b>\u092d\u0941\u091c\u093e MP \u0914\u0930 MA<\/b> \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u092a\u0930 \u0932\u0902\u092c\u0935\u0924 \u0939\u0948\u0902\u0964<\/p>\n            <p><b>\u092a\u0926 3 (\u0926\u0930\u094d\u092a\u0923 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c):<\/b> \u092c\u093f\u0902\u0926\u0941 M(-5, -2) \u0914\u0930 P(-5, 2) \u0915\u0947 y-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0935\u093f\u092a\u0930\u0940\u0924 \u091a\u093f\u0939\u094d\u0928 \u0915\u0947 \u0939\u0948\u0902, \u0905\u0924\u0903 \u092f\u0947 <b>x-\u0905\u0915\u094d\u0937<\/b> \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u0947 \u0926\u0930\u094d\u092a\u0923 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c \u0939\u0948\u0902\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 4 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 4: \u092a\u094d\u0930\u0936\u094d\u0928 4:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u092c\u093f\u0902\u0926\u0941 Z(5, -6) \u0915\u094b \u0906\u0930\u0947\u0916\u093f\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u090f\u0915 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c IZN \u0915\u0940 \u0930\u091a\u0928\u093e \u0915\u0930\u0915\u0947 \u0907\u0938\u0915\u0940 \u0924\u0940\u0928\u094b\u0902 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0905\u0928\u094d\u092f \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u093e \u091a\u092f\u0928):<\/b> \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f N(5, 1) \u0914\u0930 I(2, 1) \u0932\u0947\u0924\u0947 \u0939\u0948\u0902 \u0924\u093e\u0915\u093f \u0924\u094d\u0930\u093f\u092d\u0941\u091c IZN \u092c\u0928\u0947 \u091c\u093f\u0938\u092e\u0947\u0902 N \u092a\u0930 \u0938\u092e\u0915\u094b\u0923 \u0939\u094b\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e):<\/b> \n               - IN = |5 - 2| = 3 \u0907\u0915\u093e\u0908\u0964<br>\n               - NZ = |1 - (-6)| = 7 \u0907\u0915\u093e\u0908\u0964\n            <\/p>\n            <p><b>\u092a\u0926 3 (\u0915\u0930\u094d\u0923 IZ):<\/b> \u092c\u094c\u0927\u093e\u092f\u0928-\u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u0938\u0947: $IZ = \\sqrt{3^2 + 7^2} = \\sqrt{9 + 49} =$ <b>$\\sqrt{58}$ \u0907\u0915\u093e\u0908<\/b>\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 5 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 5: \u092a\u094d\u0930\u0936\u094d\u0928 5:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u092f\u0926\u093f \u0939\u092e\u093e\u0930\u0947 \u092a\u093e\u0938 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0928 \u0939\u094b\u0902, \u0924\u094b \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u0948\u0938\u0940 \u0939\u094b\u0917\u0940? \u0915\u094d\u092f\u093e \u0907\u0938\u0938\u0947 2-D \u0938\u092e\u0924\u0932 \u0915\u0947 \u0938\u092d\u0940 \u092c\u093f\u0902\u0926\u0941 \u0916\u094b\u091c\u0947 \u091c\u093e \u0938\u0915\u0924\u0947 \u0939\u0948\u0902?<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0938\u0940\u092e\u093e \u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923):<\/b> \u092f\u0926\u093f \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0928 \u0939\u094b\u0902, \u0924\u094b \u0915\u093e\u0930\u094d\u0924\u0940\u092f \u0924\u0932 \u0915\u0947\u0935\u0932 <b>\u092a\u094d\u0930\u0925\u092e \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 (Quadrant I)<\/b> \u0924\u0915 \u0938\u0940\u092e\u093f\u0924 \u0939\u094b \u091c\u093e\u090f\u0917\u093e\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f):<\/b> \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 \u0924\u0932 \u0915\u093e \u0915\u0947\u0902\u0926\u094d\u0930 \u0928 \u0930\u0939\u0915\u0930 \u0909\u0938\u0915\u093e \u0915\u094b\u0928\u093e \u092c\u0928 \u091c\u093e\u090f\u0917\u093e\u0964<\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u0928\u0939\u0940\u0902, \u0910\u0938\u0940 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0938\u0947 \u0939\u092e 2-D \u0938\u092e\u0924\u0932 \u0915\u0947 \u0938\u092d\u0940 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u094b <b>\u0928\u0939\u0940\u0902<\/b> \u0916\u094b\u091c \u092a\u093e\u090f\u0902\u0917\u0947, \u0915\u094d\u092f\u094b\u0902\u0915\u093f \u0905\u0928\u094d\u092f \u0924\u0940\u0928 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u091b\u0942\u091f \u091c\u093e\u090f\u0902\u0917\u0947\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 6 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 6: \u092a\u094d\u0930\u0936\u094d\u0928 6:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u091c\u093e\u0901\u091a \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0915\u094d\u092f\u093e \u092c\u093f\u0902\u0926\u0941 M(-3, -4), A(0, 0) \u0914\u0930 G(6, 8) \u090f\u0915 \u0939\u0940 \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u092a\u0930 \u0939\u0948\u0902?<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0926\u0942\u0930\u0940 \u0938\u0942\u0924\u094d\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u0932\u092e\u094d\u092c\u093e\u0907\u092f\u093e\u0901):<\/b> \n               - MA = $\\sqrt{(0 - (-3))^2 + (0 - (-4))^2} = \\sqrt{9 + 16} =$ <b>5 \u0907\u0915\u093e\u0908<\/b>\u3002<br>\n               - AG = $\\sqrt{(6 - 0)^2 + (8 - 0)^2} = \\sqrt{36 + 64} =$ <b>10 \u0907\u0915\u093e\u0908<\/b>\u3002<br>\n               - MG = $\\sqrt{(6 - (-3))^2 + (8 - (-4))^2} = \\sqrt{81 + 144} =$ <b>15 \u0907\u0915\u093e\u0908<\/b>\u0964\n            <\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u091a\u0942\u0915\u093f $MA + AG = 5 + 10 = 15 = MG$, \u0905\u0924\u0903 \u092f\u0947 \u0924\u0940\u0928\u094b\u0902 \u092c\u093f\u0902\u0926\u0941 <b>\u090f\u0915 \u0939\u0940 \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u092a\u0930 \u0938\u0902\u0930\u0947\u0916 \u0939\u0948\u0902<\/b>\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 7 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 7: \u092a\u094d\u0930\u0936\u094d\u0928 7:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u091c\u093e\u0901\u091a \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0915\u094d\u092f\u093e \u092c\u093f\u0902\u0926\u0941 R(-5, -1), B(-2, -5) \u0914\u0930 C(4, -12) \u090f\u0915 \u0939\u0940 \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u092a\u0930 \u0939\u0948\u0902?<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0926\u0942\u0930\u093f\u092f\u094b\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e):<\/b> \n               - RB = $\\sqrt{(-2 - (-5))^2 + (-5 - (-1))^2} = \\sqrt{9 + 16} =$ <b>5 \u0907\u0915\u093e\u0908<\/b>\u3002<br>\n               - BC = $\\sqrt{(4 - (-2))^2 + (-12 - (-5))^2} = \\sqrt{36 + 49} = \\sqrt{85} \\approx$ <b>9.22 \u0907\u0915\u093e\u0908<\/b>\u3002<br>\n               - RC = $\\sqrt{(4 - (-5))^2 + (-12 - (-1))^2} = \\sqrt{81 + 121} = \\sqrt{202} \\approx$ <b>14.21 \u0907\u0915\u093e\u0908<\/b>\u0964\n            <\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u092f\u0939\u093e\u0901 $RB + BC \\neq RC$ ($5 + 9.22 \\neq 14.21$), \u0905\u0924\u0903 \u092f\u0947 \u092c\u093f\u0902\u0926\u0941 <b>\u090f\u0915 \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u092a\u0930 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902<\/b>\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 8 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 8: \u092a\u094d\u0930\u0936\u094d\u0928 8:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 \u0915\u094b \u090f\u0915 \u0936\u0940\u0930\u094d\u0937 \u092e\u093e\u0928\u0924\u0947 \u0939\u0941\u090f (i) \u0938\u092e\u0926\u094d\u0935\u093f\u092c\u093e\u0939\u0941 \u0938\u092e\u0915\u094b\u0923 \u0924\u094d\u0930\u093f\u092d\u0941\u091c (ii) \u0910\u0938\u093e \u0938\u092e\u0926\u094d\u0935\u093f\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u091c\u093f\u0938\u0915\u0947 \u0936\u0940\u0930\u094d\u0937 III \u0914\u0930 IV \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0939\u094b\u0902, \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0932\u093f\u0916\u093f\u090f\u0964<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0938\u092e\u0926\u094d\u0935\u093f\u092c\u093e\u0939\u0941 \u0938\u092e\u0915\u094b\u0923):<\/b> \u0936\u0940\u0930\u094d\u0937 <b>O(0,0), A(4,0) \u0914\u0930 B(0,4)<\/b> \u0932\u0940\u091c\u093f\u090f\u0964 \u092f\u0939\u093e\u0901 $OA = OB = 4$ \u0914\u0930 \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 \u092a\u0930 \u0938\u092e\u0915\u094b\u0923 \u0939\u0948\u0964<\/p>\n            <p><b>\u092a\u0926 2 (III \u0914\u0930 IV \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u0935\u093e\u0932\u093e):<\/b> \u0936\u0940\u0930\u094d\u0937 <b>O(0,0), P(-3,-4) [III \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936] \u0914\u0930 Q(3,-4) [IV \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936]<\/b> \u0932\u0940\u091c\u093f\u090f\u0964 \u092f\u0939\u093e\u0901 $OP = OQ = 5$ \u0907\u0915\u093e\u0908 \u0939\u0948, \u0905\u0924\u0903 \u092f\u0939 \u0938\u092e\u0926\u094d\u0935\u093f\u092c\u093e\u0939\u0941 \u0924\u094d\u0930\u093f\u092d\u0941\u091c \u0939\u0948\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 9 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 9: \u092a\u094d\u0930\u0936\u094d\u0928 9:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u0924\u093e\u0932\u093f\u0915\u093e \u0915\u0947 \u0906\u0927\u093e\u0930 \u092a\u0930 \u092c\u0924\u093e\u0907\u090f \u0915\u093f \u0915\u094d\u092f\u093e M, \u0930\u0947\u0916\u093e\u0916\u0902\u0921 ST \u0915\u093e \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0939\u0948? (i) S(-3,0), M(0,0), T(3,0) (ii) S(2,3), M(3,4), T(4,5)<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0938\u094d\u0925\u093f\u0924\u093f 1):<\/b> S(-3,0) \u0914\u0930 T(3,0) \u0915\u0947 \u0932\u093f\u090f $SM = 3$ \u0914\u0930 $MT = 3$ \u0939\u0948\u0964 \u091a\u0942\u0901\u0915\u093f \u0926\u0942\u0930\u093f\u092f\u093e\u0901 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902, \u0905\u0924\u0903 <b>\u0939\u093e\u0901, M \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0939\u0948<\/b>\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u0938\u094d\u0925\u093f\u0924\u093f 2):<\/b> S(2,3) \u0914\u0930 T(4,5) \u0915\u0947 \u0932\u093f\u090f x \u0915\u093e \u092e\u0927\u094d\u092f\u092e\u093e\u0928 $\\frac{2+4}{2} = 3$ \u0914\u0930 y \u0915\u093e \u092e\u0927\u094d\u092f\u092e\u093e\u0928 $\\frac{3+5}{2} = 4$ \u0939\u0948\u0964 \u092f\u0939 M(3,4) \u0938\u0947 \u092e\u0947\u0932 \u0916\u093e\u0924\u093e \u0939\u0948, \u0905\u0924\u0903 <b>\u0939\u093e\u0901, M \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0939\u0948<\/b>\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 10 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 10: \u092a\u094d\u0930\u0936\u094d\u0928 10:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0938\u0902\u092c\u0902\u0927 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u092c\u093f\u0902\u0926\u0941 B(x, y) \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u092f\u0926\u093f M(-7, 1) \u092c\u093f\u0902\u0926\u0941 A(3, -4) \u0914\u0930 B \u0915\u093e \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0939\u0948\u0964<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0938\u0942\u0924\u094d\u0930):<\/b> $x = \\frac{x_1 + x_2}{2}$ \u0914\u0930 $y = \\frac{y_1 + y_2}{2}$<\/p>\n            <p><b>\u092a\u0926 2 (\u092e\u093e\u0928 \u0930\u0916\u0928\u093e):<\/b> \n               - $-7 = \\frac{3 + x}{2} \\implies -14 = 3 + x \\implies x =$ <b>-17<\/b><br>\n               - $1 = \\frac{-4 + y}{2} \\implies 2 = -4 + y \\implies y =$ <b>6<\/b>\n            <\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u092c\u093f\u0902\u0926\u0941 B \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 <b>(-17, 6)<\/b> \u0939\u0948\u0902\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 11 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 11: \u092a\u094d\u0930\u0936\u094d\u0928 11:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> A(4, 7) \u0914\u0930 B(16, -2) \u0915\u0947 \u0924\u094d\u0930\u093f\u092d\u093e\u091c\u0928 \u092c\u093f\u0902\u0926\u0941 (points of trisection) P \u0914\u0930 Q \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0905\u0928\u094d\u0924\u0930 \u0915\u093e \u0935\u093f\u092d\u093e\u091c\u0928):<\/b> x \u092e\u0947\u0902 \u0915\u0941\u0932 \u0905\u0902\u0924\u0930 $16 - 4 = 12$ ($3$ \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 = $4$ \u092a\u094d\u0930\u0924\u093f \u092d\u093e\u0917), y \u092e\u0947\u0902 \u0905\u0902\u0924\u0930 $-2 - 7 = -9$ ($-3$ \u092a\u094d\u0930\u0924\u093f \u092d\u093e\u0917)\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u092c\u093f\u0902\u0926\u0941 P \u0914\u0930 Q):<\/b> \n               - \u092c\u093f\u0902\u0926\u0941 P (A \u0938\u0947 1 \u0915\u0926\u092e \u0906\u0917\u0947): $x_P = 4 + 4 = 8$, $y_P = 7 - 3 = 4 \\implies$ <b>P(8, 4)<\/b><br>\n               - \u092c\u093f\u0902\u0926\u0941 Q (P \u0938\u0947 1 \u0915\u0926\u092e \u0906\u0917\u0947): $x_Q = 8 + 4 = 12$, $y_Q = 4 - 3 = 1 \\implies$ <b>Q(12, 1)<\/b>\n            <\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 12 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 12: \u092a\u094d\u0930\u0936\u094d\u0928 12:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u0926\u0930\u094d\u0936\u093e\u0907\u090f \u0915\u093f A(1,-8), B(-4,7), C(-7,-4) \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 O(0,0) \u0935\u093e\u0932\u0947 \u0935\u0943\u0924\u094d\u0924 \u092a\u0930 \u0939\u0948\u0902\u0964 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 D(-5,6) \u0914\u0930 E(0,9) \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u092d\u0940 \u091c\u093e\u0901\u091a\u093f\u090f\u0964<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e):<\/b> $OA = OB = OC = \\sqrt{1^2 + (-8)^2} =$ <b>$\\sqrt{65}$ \u0907\u0915\u093e\u0908<\/b> (\u0935\u0943\u0924\u094d\u0924 \u0915\u0940 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e)\u0964<\/p>\n            <p><b>\u092a\u0926 2 (D \u0914\u0930 E \u0915\u0940 \u091c\u093e\u0901\u091a):<\/b> \n               - $OD = \\sqrt{(-5)^2 + 6^2} = \\sqrt{61} < \\sqrt{65}$ (\u0935\u0943\u0924\u094d\u0924 \u0915\u0947 <b>\u0905\u0902\u0926\u0930<\/b>)<br>\n               - $OE = \\sqrt{0^2 + 9^2} = 9 > \\sqrt{65}$ (\u0935\u0943\u0924\u094d\u0924 \u0915\u0947 <b>\u092c\u093e\u0939\u0930<\/b>)\n            <\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 13 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 13: \u092a\u094d\u0930\u0936\u094d\u0928 13:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u092f\u0926\u093f \u0924\u094d\u0930\u093f\u092d\u0941\u091c ABC \u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0947 \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 D(5,1), E(6,5) \u0914\u0930 F(0,3) \u0939\u0948\u0902, \u0924\u094b \u0936\u0940\u0930\u094d\u0937 A, B \u0914\u0930 C \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0938\u092e\u0940\u0915\u0930\u0923 \u092c\u0928\u093e\u0928\u093e):<\/b> \u092e\u0927\u094d\u092f\u092c\u093f\u0902\u0926\u0941 \u0938\u0902\u092c\u0902\u0927\u094b\u0902 \u0938\u0947 $x_1+x_2+x_3 = 11$ \u0914\u0930 $y_1+y_2+y_3 = 9$ \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u0936\u0940\u0930\u094d\u0937 \u0928\u093f\u0915\u093e\u0932\u0928\u093e):<\/b> \n               - $x$ \u092e\u093e\u0928: $x_1 = 1, x_2 = 1, x_3 = 11$<br>\n               - $y$ \u092e\u093e\u0928: $y_1 = 7, y_2 = -1, y_3 = 3$\n            <\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u0936\u0940\u0930\u094d\u0937 \u0939\u0948\u0902: <b>A(1, 7), B(1, -1), C(11, 3)<\/b>\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 14 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 14: \u092a\u094d\u0930\u0936\u094d\u0928 14:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u0936\u0939\u0930 \u0915\u0940 \u0938\u0921\u093c\u0915\u094b\u0902 \u0915\u0947 \u092e\u0949\u0921\u0932 \u092e\u0947\u0902 (a) \u0915\u093f\u0924\u0928\u0940 \u0938\u0921\u093c\u0915 \u092a\u094d\u0930\u091a\u094d\u091b\u0947\u0926\u0928 \u0915\u094b (4, 3) \u0915\u0939\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948? (b) \u0915\u093f\u0924\u0928\u0940 \u0938\u0921\u093c\u0915 \u092a\u094d\u0930\u091a\u094d\u091b\u0947\u0926\u0928 \u0915\u094b (3, 4) \u0915\u0939\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948?<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0935\u093f\u0936\u094d\u0932\u0947\u0937\u0923):<\/b> (4, 3) \u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948 \u091a\u094c\u0925\u0940 N-S \u0938\u0921\u093c\u0915 \u0914\u0930 \u0924\u0940\u0938\u0930\u0940 E-W \u0938\u0921\u093c\u0915 \u0915\u093e \u092e\u093f\u0932\u0928 \u092c\u093f\u0902\u0926\u0941\u0964<\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u0910\u0938\u0940 \u0905\u0928\u0942\u0920\u0940 \u0915\u094d\u0930\u0949\u0938\u093f\u0902\u0917 \u0915\u0947\u0935\u0932 <b>\u090f\u0915 (1)<\/b> \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u0905\u0924\u0903 (a) \u0914\u0930 (b) \u0926\u094b\u0928\u094b\u0902 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 <b>1<\/b> \u0939\u0948\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 15 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 15: \u092a\u094d\u0930\u0936\u094d\u0928 15:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> 800x600 \u0938\u094d\u0915\u094d\u0930\u0940\u0928 \u092a\u0930 A(100,150) [\u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 80] \u0914\u0930 B(250,230) [\u0924\u094d\u0930\u093f\u091c\u094d\u092f\u093e 100] \u0915\u0947 \u0926\u094b \u0935\u0943\u0924\u094d\u0924 \u0939\u0948\u0902\u0964 \u091c\u093e\u0901\u091a\u093f\u090f \u0915\u093f \u0915\u094d\u092f\u093e \u0915\u094b\u0908 \u0935\u0943\u0924\u094d\u0924 \u092c\u093e\u0939\u0930 \u0939\u0948 \u0914\u0930 \u0915\u094d\u092f\u093e \u0935\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902?<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u0938\u094d\u0915\u094d\u0930\u0940\u0928 \u091c\u093e\u0901\u091a):<\/b> \u0926\u094b\u0928\u094b\u0902 \u0935\u0943\u0924\u094d\u0924\u094b\u0902 \u0915\u0940 \u0938\u0940\u092e\u093e\u090f\u0901 \u0938\u094d\u0915\u094d\u0930\u0940\u0928 (0 \u0938\u0947 800 \u0914\u0930 0 \u0938\u0947 600) \u0915\u0947 \u092d\u0940\u0924\u0930 \u0939\u0948\u0902, \u0905\u0924\u0903 \u0915\u094b\u0908 \u092d\u0940 \u0935\u0943\u0924\u094d\u0924 \u092c\u093e\u0939\u0930 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/p>\n            <p><b>\u092a\u0926 2 (\u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928):<\/b> \u0915\u0947\u0902\u0926\u094d\u0930 A \u0914\u0930 B \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 $AB = \\sqrt{150^2 + 80^2} = 170$ \u092a\u093f\u0915\u094d\u0938\u0947\u0932 \u0939\u0948\u0964 \u091a\u0942\u0901\u0915\u093f $170 < (80 + 100 = 180)$, \u0905\u0924\u0903 <b>\u0926\u094b\u0928\u094b\u0902 \u0935\u0943\u0924\u094d\u0924 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u094b \u0915\u093e\u091f\u0924\u0947 \u0939\u0948\u0902<\/b>\u0964<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 16 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 16: \u092a\u094d\u0930\u0936\u094d\u0928 16:<\/b><\/p>\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928:<\/b> \u092c\u093f\u0902\u0926\u0941\u0913\u0902 A(2,1), B(-1,2), C(-2,-1) \u0914\u0930 D(1,-2) \u0915\u094b \u0906\u0930\u0947\u0916\u093f\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u0915\u094d\u092f\u093e ABCD \u090f\u0915 \u0935\u0930\u094d\u0917 \u0939\u0948? \u0907\u0938\u0915\u093e \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 \u0915\u094d\u092f\u093e \u0939\u0948?<\/p>\n            <p><b>\ud83d\udd0d \u092a\u0942\u0930\u094d\u0923 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0939\u0932:<\/b><\/p>\n            <p><b>\u092a\u0926 1 (\u092d\u0941\u091c\u093e \u0914\u0930 \u0935\u093f\u0915\u0930\u094d\u0923):<\/b> \u0938\u092d\u0940 \u091a\u093e\u0930\u094b\u0902 \u092d\u0941\u091c\u093e\u090f\u0901 $AB = BC = CD = DA =$ <b>$\\sqrt{10}$ \u0907\u0915\u093e\u0908<\/b> \u0939\u0948\u0902 \u0914\u0930 \u0926\u094b\u0928\u094b\u0902 \u0935\u093f\u0915\u0930\u094d\u0923 $AC = BD =$ <b>$\\sqrt{20}$ \u0907\u0915\u093e\u0908<\/b> \u0939\u0948\u0902\u0964<\/p>\n            <p><b>\u0928\u093f\u0937\u094d\u0915\u0930\u094d\u0937:<\/b> \u091a\u0942\u0901\u0915\u093f \u0938\u092d\u0940 \u092d\u0941\u091c\u093e\u090f\u0901 \u0914\u0930 \u0935\u093f\u0915\u0930\u094d\u0923 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0902, \u0905\u0924\u0903 ABCD \u090f\u0915 <b>\u0935\u0930\u094d\u0917 (Square)<\/b> \u0939\u0948\u0964<\/p>\n            <p><b>\u092a\u0926 3 (\u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932):<\/b> \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 = $(\\text{\u092d\u0941\u091c\u093e})^2 = (\\sqrt{10})^2 =$ <b>10 \u0935\u0930\u094d\u0917 \u0907\u0915\u093e\u0908<\/b>\u0964<\/p>\n        <\/div>\n\n    <\/div>\n\n    <!-- \u0928\u0947\u0935\u093f\u0917\u0947\u0936\u0928 \u092b\u0941\u091f\u0930 -->\n    <div class=\"slider-footer-section\">\n        <button class=\"slider-nav-btn btn-prev\">\u092a\u093f\u091b\u0932\u093e (Prev)<\/button>\n        <span class=\"slider-page-counter\">1 \/ 16<\/span>\n        <button class=\"slider-nav-btn btn-next\">\u0905\u0917\u0932\u093e (Next)<\/button>\n    <\/div>\n<\/div><\/div><\/div><\/div><\/div><div id=\"pg-1196-3\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-1196-3-0\"  class=\"panel-grid-cell\" ><div id=\"panel-1196-3-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"3\" ><div class=\"textwidget custom-html-widget\"><!-- ================= \u092c\u094d\u0932\u0949\u0915 4: \u092e\u0941\u0916\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u0914\u0930 \u0936\u0949\u0930\u094d\u091f \u0928\u094b\u091f\u094d\u0938 (\u0905\u0927\u094d\u092f\u093e\u092f 1) ================= -->\n<div class=\"pargai-multislider\">\n    <div class=\"slider-header-section\">\n        <div class=\"header-main-title\">\u092d\u093e\u0917 4: \u092e\u0941\u0916\u094d\u092f \u092c\u093f\u0902\u0926\u0941 \u0914\u0930 \u0936\u0949\u0930\u094d\u091f \u0928\u094b\u091f\u094d\u0938 (Revision & Summary)<\/div>\n    <\/div>\n    \n    <!-- \u0938\u094d\u0932\u093e\u0907\u0921\u094d\u0938 \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u090f\u0930\u093f\u092f\u093e -->\n    <div class=\"slider-content-area\">\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 1 -->\n        <div class=\"pargai-slide active-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 1: \u0936\u0949\u0930\u094d\u091f-\u0928\u094b\u091f 1 (\u0915\u093e\u0930\u094d\u0924\u0940\u092f \u0924\u0932):<\/b><\/p>\n            <p>\u0926\u094d\u0935\u093f\u0926\u093f\u0936\u0940\u092f (2-D) \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937 \u092f\u093e \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 \u0915\u0940 \u0938\u091f\u0940\u0915 \u0938\u094d\u0925\u093f\u0924\u093f \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0926\u094b \u092a\u0930\u0938\u094d\u092a\u0930 \u0932\u0902\u092c\u0935\u0924 \u0930\u0947\u0916\u093e\u0913\u0902\u2014\u0915\u094d\u0937\u0948\u0924\u093f\u091c <b>x-\u0905\u0915\u094d\u0937<\/b> \u0914\u0930 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 <b>y-\u0905\u0915\u094d\u0937<\/b> \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948[cite: 3]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 2 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 2: \u0936\u0949\u0930\u094d\u091f-\u0928\u094b\u091f 2 (\u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941):<\/b><\/p>\n            <p>x-\u0905\u0915\u094d\u0937 \u0914\u0930 y-\u0905\u0915\u094d\u0937 \u0915\u0947 \u092a\u094d\u0930\u0924\u093f\u091a\u094d\u091b\u0947\u0926\u0928 \u092c\u093f\u0902\u0926\u0941 \u0915\u094b <b>\u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 (Origin, O)<\/b> \u0915\u0939\u093e \u091c\u093e\u0924\u093e \u0939\u0948[cite: 3], \u091c\u093f\u0938\u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0939\u092e\u0947\u0936\u093e <b>(0, 0)<\/b> \u0939\u094b\u0924\u0947 \u0939\u0948\u0902[cite: 3]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 3 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 3: \u0924\u094d\u0935\u0930\u093f\u0924 \u092f\u093e\u0926 \u0930\u0916\u0947\u0902 (\u091a\u093f\u0939\u094d\u0928 \u092a\u0930\u093f\u092a\u093e\u091f\u0940):<\/b><\/p>\n            <p>\u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 \u0938\u0947 \u0926\u093e\u0908\u0902 \u0913\u0930 \u092f\u093e \u090a\u092a\u0930 \u0915\u0940 \u0926\u0942\u0930\u093f\u092f\u093e\u0901 \u0939\u092e\u0947\u0936\u093e <b>\u0927\u0928\u093e\u0924\u094d\u092e\u0915 (+)<\/b> \u0939\u094b\u0924\u0940 \u0939\u0948\u0902, \u0924\u0925\u093e \u092c\u093e\u0908\u0902 \u0913\u0930 \u092f\u093e \u0928\u0940\u091a\u0947 \u0915\u0940 \u0926\u0942\u0930\u093f\u092f\u093e\u0901 <b>\u090b\u0923\u093e\u0924\u094d\u092e\u0915 (-)<\/b> \u0939\u094b\u0924\u0940 \u0939\u0948\u0902[cite: 3]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 4 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 4: \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u0928\u093f\u092f\u092e (Quadrants):<\/b><\/p>\n            <p>\u0905\u0915\u094d\u0937 \u0938\u092e\u0924\u0932 \u0915\u094b \u091a\u093e\u0930 \u092d\u093e\u0917\u094b\u0902 \u092e\u0947\u0902 \u092c\u093e\u0902\u091f\u0924\u0947 \u0939\u0948\u0902: \n               - \u092a\u094d\u0930\u0925\u092e \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936: $(+, +)$<br>\n               - \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936: $(-, +)$<br>\n               - \u0924\u0943\u0924\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936: $(-, -)$<br>\n               - \u091a\u0924\u0941\u0930\u094d\u0925 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936: $(+, -)$[cite: 7, 15]\n            <\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 5 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 5: \u0905\u0915\u094d\u0937\u094b\u0902 \u092a\u0930 \u092c\u093f\u0902\u0926\u0941:<\/b><\/p>\n            <p>x-\u0905\u0915\u094d\u0937 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0915\u093f\u0938\u0940 \u092d\u0940 \u092c\u093f\u0902\u0926\u0941 \u0915\u093e y-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0936\u0942\u0928\u094d\u092f \u0939\u094b\u0924\u093e \u0939\u0948 <b>(x, 0)<\/b>, \u0914\u0930 y-\u0905\u0915\u094d\u0937 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u092c\u093f\u0902\u0926\u0941 \u0915\u093e x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0936\u0942\u0928\u094d\u092f \u0939\u094b\u0924\u093e \u0939\u0948 <b>(0, y)<\/b>[cite: 4, 15]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 6 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 6: \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0905\u0930\u094d\u0925:<\/b><\/p>\n            <p>\u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 P(x, y) \u092e\u0947\u0902 'x' \u0909\u0938\u0915\u0940 y-\u0905\u0915\u094d\u0937 \u0938\u0947 \u0932\u0902\u092c\u0935\u0924 \u0926\u0942\u0930\u0940 \u0939\u0948 \u0914\u0930 'y' \u0909\u0938\u0915\u0940 x-\u0905\u0915\u094d\u0937 \u0938\u0947 \u0932\u0902\u092c\u0935\u0924 \u0926\u0942\u0930\u0940 \u0915\u094b \u092a\u094d\u0930\u0926\u0930\u094d\u0936\u093f\u0924 \u0915\u0930\u0924\u0940 \u0939\u0948[cite: 6]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 7 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 7: \u092e\u0939\u0924\u094d\u0935\u092a\u0942\u0930\u094d\u0923 \u0938\u0942\u0924\u094d\u0930 (\u0926\u0942\u0930\u0940 \u0938\u0942\u0924\u094d\u0930):<\/b><\/p>\n            <p>\u092c\u094c\u0927\u093e\u092f\u0928-\u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938 \u092a\u094d\u0930\u092e\u0947\u092f \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0915\u0947 \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0915\u093f\u0928\u094d\u0939\u0940\u0902 \u092d\u0940 \u0926\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 $(x_1, y_1)$ \u0914\u0930 $(x_2, y_2)$ \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u0915\u093e \u0938\u0942\u0924\u094d\u0930 \u0939\u094b\u0924\u093e \u0939\u0948[cite: 9, 11, 15]:<\/p>\n            <div class=\"math-formula\">$$\\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$<\/div>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 8 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 8: \u0910\u0924\u093f\u0939\u093e\u0938\u093f\u0915 \u0926\u0943\u0937\u094d\u091f\u093f\u0915\u094b\u0923:<\/b><\/p>\n            <p>\u0917\u094d\u0930\u093f\u0921 \u0906\u0927\u093e\u0930\u093f\u0924 \u0928\u0917\u0930 \u0928\u093f\u092f\u094b\u091c\u0928 \u0915\u0940 \u0936\u0941\u0930\u0941\u0906\u0924 \u0938\u093f\u0902\u0927\u0941-\u0938\u0930\u0938\u094d\u0935\u0924\u0940 \u0938\u092d\u094d\u092f\u0924\u093e \u0938\u0947 \u0939\u0941\u0908 \u0925\u0940\u0964 \u092c\u093e\u0926 \u092e\u0947\u0902 \u092c\u094d\u0930\u0939\u094d\u092e\u0917\u0941\u092a\u094d\u0924 \u0928\u0947 \u0936\u0942\u0928\u094d\u092f\/\u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u0914\u0930 \u0930\u0947\u0928\u0947 \u0926\u0947\u0915\u093e\u0930\u094d\u0924 (1637) \u0928\u0947 \u0915\u093e\u0930\u094d\u0924\u0940\u092f \u0938\u092e\u0928\u094d\u0935\u092f \u092a\u094d\u0930\u0923\u093e\u0932\u0940 \u0915\u094b \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u0930\u0942\u092a \u0926\u093f\u092f\u093e[cite: 1, 2]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 9 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 9: \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u091f\u093f\u092a (\u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c):<\/b><\/p>\n            <p>\u0915\u093f\u0938\u0940 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u0940\u092f \u0906\u0915\u0943\u0924\u093f (\u091c\u0948\u0938\u0947 \u0924\u094d\u0930\u093f\u092d\u0941\u091c) \u0915\u094b \u0915\u093f\u0938\u0940 \u0905\u0915\u094d\u0937 \u0915\u0947 \u092a\u0930\u093f\u0924\u0903 \u092a\u0930\u093e\u0935\u0930\u094d\u0924\u093f\u0924 (reflect) \u0915\u0930\u0928\u0947 \u092a\u0930 \u0909\u0938\u0915\u0940 \u092d\u0941\u091c\u093e\u0913\u0902 \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0939\u092e\u0947\u0936\u093e \u0905\u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 (\u0938\u092e\u093e\u0928) \u0930\u0939\u0924\u0940 \u0939\u0948[cite: 11]\u3002<\/p>\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 10 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u0938\u094d\u0932\u093e\u0907\u0921 10: \u0905\u0927\u094d\u092f\u093e\u092f \u0915\u093e \u0938\u093e\u0930:<\/b><\/p>\n            <p>\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u092c\u0940\u091c\u0917\u0923\u093f\u0924 \u0914\u0930 \u091c\u094d\u092f\u093e\u092e\u093f\u0924\u093f \u0915\u093e \u090f\u0915 \u0905\u0928\u0942\u0920\u093e \u0938\u0902\u0917\u092e \u0939\u0948, \u091c\u094b \u0939\u092e\u0947\u0902 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0947 \u092e\u093e\u0927\u094d\u092f\u092e \u0938\u0947 \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937 \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092d\u0940 \u0938\u094d\u0925\u093e\u0928 \u0915\u094b \u092a\u093f\u0928\u092a\u0949\u0907\u0902\u091f \u0938\u091f\u0940\u0915\u0924\u093e \u0915\u0947 \u0938\u093e\u0925 \u0916\u094b\u091c\u0928\u0947 \u092e\u0947\u0902 \u0938\u0915\u094d\u0937\u092e \u092c\u0928\u093e\u0924\u093e \u0939\u0948[cite: 2]\u3002<\/p>\n        <\/div>\n\n    <\/div>\n\n    <!-- \u0928\u0947\u0935\u093f\u0917\u0947\u0936\u0928 \u092b\u0941\u091f\u0930 -->\n    <div class=\"slider-footer-section\">\n        <button class=\"slider-nav-btn btn-prev\">&larr; \u092a\u0940\u091b\u0947<\/button>\n        <span class=\"slider-page-counter\">1 \/ 10<\/span>\n        <button class=\"slider-nav-btn btn-next\">\u0905\u0917\u0932\u093e &rarr;<\/button>\n    <\/div>\n<\/div><\/div><\/div><\/div><\/div><div id=\"pg-1196-4\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-1196-4-0\"  class=\"panel-grid-cell\" ><div id=\"panel-1196-4-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"4\" ><div class=\"textwidget custom-html-widget\"><!-- ================= \u092c\u094d\u0932\u0949\u0915 5: \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u0914\u0930 \u092a\u094d\u0930\u0924\u093f\u092f\u094b\u0917\u0940 \u092a\u0930\u0940\u0915\u094d\u0937\u093e - \u092c\u0939\u0941\u0935\u093f\u0915\u0932\u094d\u092a\u0940\u092f \u092a\u094d\u0930\u0936\u094d\u0928 (MCQ) ================= -->\n<div class=\"pargai-multislider\">\n    <div class=\"slider-header-section\">\n        <div class=\"header-main-title\">\u092d\u093e\u0917 5: \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930 \u092a\u0930\u0940\u0915\u094d\u0937\u093e \u0909\u092a\u092f\u094b\u0917\u0940 \u092c\u0939\u0941\u0935\u093f\u0915\u0932\u094d\u092a\u0940\u092f \u092a\u094d\u0930\u0936\u094d\u0928 (MCQ)<\/div>\n    <\/div>\n    \n    <!-- \u0938\u094d\u0932\u093e\u0907\u0921\u094d\u0938 \u0915\u093e \u092e\u0941\u0916\u094d\u092f \u090f\u0930\u093f\u092f\u093e -->\n    <div class=\"slider-content-area\">\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 1 -->\n        <div class=\"pargai-slide active-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 1:<\/b> \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 (Origin) \u0915\u0947 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u094d\u092f\u093e \u0939\u094b\u0924\u0947 \u0939\u0948\u0902?<\/p>\n            <p>(\u0905) (1, 1)<br>(\u092c) (0, 1)<br>(\u0938) (0, 0)<br>(\u0926) (1, 0)<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u0938) (0, 0)<\/b>[cite: 3]\n        <\/div>\n        \n        <!-- \u0938\u094d\u0932\u093e\u0907\u0921 2 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 2:<\/b> \u092c\u093f\u0902\u0926\u0941 (-5, 3) \u0915\u093e\u0930\u094d\u0924\u0940\u092f \u0924\u0932 \u0915\u0947 \u0915\u093f\u0938 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 (Quadrant) \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u0948?<\/p>\n            <p>(\u0905) \u092a\u094d\u0930\u0925\u092e \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936<br>(\u092c) \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936<br>(\u0938) \u0924\u0943\u0924\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936<br>(\u0926) \u091a\u0924\u0941\u0930\u094d\u0925 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u092c) \u0926\u094d\u0935\u093f\u0924\u0940\u092f \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936<\/b>[cite: 7]\n        <\/div>\n        \n        <!-- slides 3 to 10 -->\n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 3:<\/b> x-\u0905\u0915\u094d\u0937 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u0915\u093f\u0938\u0940 \u092d\u0940 \u092c\u093f\u0902\u0926\u0941 \u0915\u093e y-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0915\u093f\u0924\u0928\u093e \u0939\u094b\u0924\u093e \u0939\u0948?<\/p>\n            <p>(\u0905) 1<br>(\u092c) -1<br>(\u0938) 0<br>(\u0926) \u0915\u094b\u0908 \u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u0938) 0<\/b>[cite: 15]\n        <\/div>\n        \n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 4:<\/b> \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0915\u093f\u0928\u094d\u0939\u0940\u0902 \u0926\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 $(x_1, y_1)$ \u0914\u0930 $(x_2, y_2)$ \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0942\u0930\u0940 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0928\u0947 \u0915\u093e \u0938\u0939\u0940 \u0938\u0942\u0924\u094d\u0930 \u0915\u094c\u0928 \u0938\u093e \u0939\u0948?<\/p>\n            <p>(\u0905) $\\sqrt{(x_2+x_1)^2 + (y_2+y_1)^2}$<br>(\u092c) $\\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$<br>(\u0938) $(x_2-x_1) + (y_2-y_1)$<br>(\u0926) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u092c) $\\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$<\/b>[cite: 11, 15]\n        <\/div>\n        \n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 5:<\/b> \u092a\u094d\u0930\u093e\u091a\u0940\u0928 \u092d\u093e\u0930\u0924 \u092e\u0947\u0902 \u0917\u094d\u0930\u093f\u0921 \u0906\u0927\u093e\u0930\u093f\u0924 \u0928\u0917\u0930 \u0928\u093f\u092f\u094b\u091c\u0928 (Grid-based urban planning) \u0915\u093e \u0938\u092c\u0938\u0947 \u092a\u0939\u0932\u093e \u0935\u094d\u092f\u0935\u0938\u094d\u0925\u093f\u0924 \u0909\u092a\u092f\u094b\u0917 \u0915\u0939\u093e\u0901 \u092e\u093f\u0932\u0924\u093e \u0939\u0948?<\/p>\n            <p>(\u0905) \u0909\u091c\u094d\u091cain \u092e\u0947\u0902<br>(\u092c) \u0938\u093f\u0902\u0927\u0941-\u0938\u0930\u0938\u094d\u0935\u0924\u0940 \u0938\u092d\u094d\u092f\u0924\u093e \u092e\u0947\u0902<br>(\u0938) \u092a\u093e\u091f\u0932\u093f\u092a\u0941\u0924\u094d\u0930 \u092e\u0947\u0902<br>(\u0926) \u0924\u0915\u094d\u0937\u0936\u093f\u0932\u093e \u092e\u0947\u0902<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u092c) \u0938\u093f\u0902\u0927\u0941-\u0938\u0930\u0938\u094d\u0935\u0924\u0940 \u0938\u092d\u094d\u092f\u0924\u093e \u092e\u0947\u0902<\/b>[cite: 1]\n        <\/div>\n        \n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 6:<\/b> \u092c\u093f\u0902\u0926\u0941 (4, -5) \u0915\u093e\u0930\u094d\u0924\u0940\u092f \u0924\u0932 \u0915\u0947 \u0915\u093f\u0938 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0906\u0924\u093e \u0939\u0948?<\/p>\n            <p>(\u0905) \u092a\u094d\u0930\u0925\u092e<br>(\u092c) \u0926\u094d\u0935\u093f\u0924\u0940\u092f<br>(\u0938) \u0924\u0943\u0924\u0940\u092f<br>(\u0926) \u091a\u0924\u0941\u0930\u094d\u0925<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u0926) \u091a\u0924\u0941\u0930\u094d\u0925 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936<\/b>[cite: 7]\n        <\/div>\n        \n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 7:<\/b> \u0917\u0923\u093f\u0924 \u0907\u0924\u093f\u0939\u093e\u0938 \u092e\u0947\u0902 \u0936\u0942\u0928\u094d\u092f \u0914\u0930 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u094b \u092c\u0940\u091c\u0917\u0923\u093f\u0924\u0940\u092f \u0907\u0915\u093e\u0907\u092f\u094b\u0902 \u0915\u0947 \u0930\u0942\u092a \u092e\u0947\u0902 \u0938\u092c\u0938\u0947 \u092a\u0939\u0932\u0947 \u0915\u093f\u0938\u0928\u0947 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u0930\u0942\u092a \u0926\u093f\u092f\u093e \u0925\u093e?<\/p>\n            <p>(\u0905) \u0906\u0930\u094d\u092f\u092d\u091f\u094d\u091f<br>(\u092c) \u092c\u094d\u0930\u0939\u094d\u092e\u0917\u0941\u092a\u094d\u0924<br>(\u0938) \u092c\u094c\u0927\u093e\u092f\u0928<br>(\u0926) \u092d\u093e\u0938\u094d\u0915\u0930\u091a\u093e\u0930\u094d\u092f<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u092c) \u092c\u094d\u0930\u0939\u094d\u092e\u0917\u0941\u092a\u094d\u0924<\/b>[cite: 1]\n        <\/div>\n        \n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 8:<\/b> \u092e\u0942\u0932\u092c\u093f\u0902\u0926\u0941 (0, 0) \u0938\u0947 \u092c\u093f\u0902\u0926\u0941 (3, 4) \u0915\u0940 \u0938\u0940\u0927\u0940 \u0926\u0942\u0930\u0940 \u0915\u093f\u0924\u0928\u0940 \u0939\u094b\u0917\u0940?<\/p>\n            <p>(\u0905) 3 \u0907\u0915\u093e\u0908<br>(\u092c) 4 \u0907\u0915\u093e\u0908<br>(\u0938) 5 \u0907\u0915\u093e\u0908<br>(\u0926) 7 \u0907\u0915\u093e\u0908<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u0938) 5 \u0907\u0915\u093e\u0908<\/b>[cite: 9]\n        <\/div>\n        \n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 9:<\/b> 17\u0935\u0940\u0902 \u0936\u0924\u093e\u092c\u094d\u0926\u0940 \u092e\u0947\u0902 \u0915\u093f\u0938\u0928\u0947 \u0914\u092a\u091a\u093e\u0930\u093f\u0915 \u0930\u0942\u092a \u0938\u0947 \u092f\u0939 \u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u0915\u093f 2-D \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u0915\u093f\u0938\u0940 \u092d\u0940 \u092c\u093f\u0902\u0926\u0941 \u0915\u094b \u0926\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 (\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902) \u0938\u0947 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e \u0939\u0948?<\/p>\n            <p>(\u0905) \u0930\u0947\u0928\u0947 \u0926\u0947\u0915\u093e\u0930\u094d\u0924 (Ren\u00e9 Descartes)<br>(\u092c) \u092a\u093e\u0907\u0925\u093e\u0917\u094b\u0930\u0938<br>(\u0938) \u092f\u0942\u0915\u094d\u0932\u093f\u0921<br>(\u0926) \u0928\u094d\u092f\u0942\u091f\u0928<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u0905) \u0930\u0947\u0928\u0947 \u0926\u0947\u0915\u093e\u0930\u094d\u0924 (Ren\u00e9 Descartes)<\/b>[cite: 2]\n        <\/div>\n        \n        <div class=\"pargai-slide\">\n            <p><b>\u092a\u094d\u0930\u0936\u094d\u0928 10:<\/b> \u092f\u0926\u093f \u0915\u093f\u0938\u0940 \u092c\u093f\u0902\u0926\u0941 \u0915\u093e x-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u0927\u0928\u093e\u0924\u094d\u092e\u0915 (+) \u0914\u0930 y-\u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u090b\u0923\u093e\u0924\u094d\u092e\u0915 (-) \u0939\u0948, \u0924\u094b \u0935\u0939 \u092c\u093f\u0902\u0926\u0941 \u0915\u093f\u0938 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936 \u092e\u0947\u0902 \u0938\u094d\u0925\u093f\u0924 \u0939\u094b\u0917\u093e?<\/p>\n            <p>(\u0905) \u092a\u094d\u0930\u0925\u092e<br>(\u092c) \u0926\u094d\u0935\u093f\u0924\u0940\u092f<br>(\u0938) \u0924\u0943\u0924\u0940\u092f<br>(\u0926) \u091a\u0924\u0941\u0930\u094d\u0925<\/p>\n            <p><b>\u0909\u0924\u094d\u0924\u0930: (\u0926) \u091a\u0924\u0941\u0930\u094d\u0925 \u091a\u0924\u0941\u0930\u094d\u0925\u093e\u0902\u0936<\/b>[cite: 7, 15]\n        <\/div>\n\n    <\/div>\n\n    <!-- \u0928\u0947\u0935\u093f\u0917\u0947\u0936\u0928 \u092b\u0941\u091f\u0930 -->\n    <div class=\"slider-footer-section\">\n        <button class=\"slider-nav-btn btn-prev\">&larr; \u092a\u0940\u091b\u0947<\/button>\n        <span class=\"slider-page-counter\">1 \/ 10<\/span>\n        <button class=\"slider-nav-btn btn-next\">\u0906\u0917\u0947 &rarr;<\/button>\n    <\/div>\n<\/div><\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>\u092d\u093e\u0917 1: \u0905\u0927\u094d\u092f\u093e\u092f 1 &#8211; \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 (\u092a\u0930\u093f\u091a\u092f \u090f\u0935\u0902 \u0907\u0924\u093f\u0939\u093e\u0938) \u0938\u094d\u0932\u093e\u0907\u0921 1: \u0905\u0927\u094d\u092f\u093e\u092f \u0915\u0940 \u092a\u094d\u0930\u0938\u094d\u0924\u093e\u0935\u0928\u093e: \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u093e\u0902\u0915 \u092a\u094d\u0930\u0923\u093e\u0932\u0940 (Coordinate System) \u090f\u0915 \u0910\u0938\u093e \u0938\u0902\u0930\u091a\u093f\u0924 \u0922\u093e\u0902\u091a\u093e \u0939\u0948 \u091c\u094b \u0938\u0902\u0916\u094d\u092f\u093e\u0913\u0902 \u0915\u0940 \u092e\u0926\u0926 \u0938\u0947 \u0905\u0902\u0924\u0930\u093f\u0915\u094d\u0937 \u092f\u093e \u0938\u092e\u0924\u0932 \u092e\u0947\u0902 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0914\u0930 \u0935\u0938\u094d\u0924\u0941\u0913\u0902 \u0915\u0940 \u0938\u091f\u0940\u0915 \u092d\u094c\u0924\u093f\u0915 \u0938\u094d\u0925\u093f\u0924\u093f \u0915\u094b \u0926\u0930\u094d\u0936\u093e\u0928\u0947 \u092e\u0947\u0902 \u0938\u0915\u094d\u0937\u092e \u092c\u0928\u093e\u0924\u0940 \u0939\u0948[cite: 1]\u3002 \u0938\u094d\u0932\u093e\u0907\u0921 2: \u0938\u093f\u0902\u0927\u0941-\u0938\u0930\u0938\u094d\u0935\u0924\u0940 \u0938\u092d\u094d\u092f\u0924\u093e \u0915\u093e \u092f\u094b\u0917\u0926\u093e\u0928: \u092d\u093e\u0930\u0924 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-1196","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Mathematics &#187; (\u0905\u0927\u094d\u092f\u093e\u092f 9: \u0938\u093e\u0927\u094d\u092f \u0914\u0930 \u0909\u0928\u0915\u0947 \u0935\u093f\u0932\u094b\u092e &#187; Class-9th - Agniveer 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