{"id":956,"date":"2026-10-05T03:36:21","date_gmt":"2026-10-05T03:36:21","guid":{"rendered":"https:\/\/academic.pargaidefenceacademy.in\/Class-9th\/?p=956"},"modified":"2026-10-05T03:47:57","modified_gmt":"2026-10-05T03:47:57","slug":"am-go-go-up-and-down","status":"publish","type":"post","link":"https:\/\/academic.pargaidefenceacademy.in\/Class-9th\/2026\/10\/05\/am-go-go-up-and-down\/","title":{"rendered":"*5* | \u092e\u0948\u0902 \u0939\u0942\u0901 \u0917\u094b-\u0917\u094b, \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 | I am Go-Go, Up and Down \u2014 Introduction to Functions \/ Graphs"},"content":{"rendered":"<div id=\"pl-956\"  class=\"panel-layout\" ><div id=\"pg-956-0\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-956-0-0\"  class=\"panel-grid-cell\" ><div id=\"panel-956-0-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"0\" ><div class=\"textwidget custom-html-widget\"><div id=\"FILE1-CH5-GANIT\" style=\"max-width:860px;margin:12px auto;border:3.5px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:8px 10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:6px 18px;border-radius:20px;font-weight:bold;font-size:11px;\">Ch5 - \u092e\u0948\u0902 \u0939\u0942\u0901 \u0917\u094b-\u0917\u094b, \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 - \u092d\u093e\u0917 1\/4 - \u092a\u0930\u093f\u091a\u092f - Functions<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"ch5g-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - \u0917\u094b-\u0917\u094b \u0915\u094d\u092f\u093e? \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 \u0915\u094d\u092f\u093e?<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:6px 10px;font-weight:bold;\">\u0917\u094b-\u0917\u094b \u0915\u094c\u0928? - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>\u0917\u094b-\u0917\u094b \u090f\u0915 \u092e\u0936\u0940\u0928 \u0939\u0948\u0964 \u090f\u0915 \u0924\u0930\u092b \u0938\u0947 \u0938\u0902\u0916\u094d\u092f\u093e \u0921\u093e\u0932\u094b \u0926\u0942\u0938\u0930\u0940 \u0924\u0930\u092b \u0938\u0947 \u0928\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u0915\u0932\u0924\u0940 \u0939\u0948\u0964 \u0921\u093e\u0932\u094b 2 \u0928\u093f\u0915\u0932\u0947\u0917\u093e 4, \u0921\u093e\u0932\u094b 3 \u0928\u093f\u0915\u0932\u0947\u0917\u093e 6\u0964 \u092f\u0939 \u092e\u0936\u0940\u0928 \u0928\u093f\u092f\u092e \u0938\u0947 \u091a\u0932\u0924\u0940 \u0939\u0948\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-size:18px;font-weight:bold;\">Input \u2192 [ \u0917\u094b-\u0917\u094b \u092e\u0936\u0940\u0928 ] \u2192 Output<\/div><div>2 \u2192 [ \u00d72 ] \u2192 4<\/div><div>3 \u2192 [ \u00d72 ] \u2192 6<\/div><div>\u0917\u094b-\u0917\u094b = Function<\/div><\/div>\u0917\u0923\u093f\u0924 \u092e\u0947\u0902 \u0907\u0938\u0947 \u092b\u0932\u0928 \u0915\u0939\u0924\u0947 \u0939\u0948\u0902\u0964 \u092b\u0932\u0928 \u0928\u093f\u092f\u092e \u0939\u094b\u0924\u093e \u0939\u0948\u0964<br><br><div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;\">\u090a\u092a\u0930-\u0928\u0940\u091a\u0947 \u0915\u094d\u092f\u093e? - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>Input \u0915\u094b x \u0915\u0939\u0924\u0947 \u0939\u0948\u0902, Output \u0915\u094b y\u0964 x \u092c\u0922\u093c\u0924\u093e \u0939\u0948 \u0924\u094b y \u090a\u092a\u0930 \u091c\u093e\u0924\u093e \u0939\u0948 \u092f\u093e \u0928\u0940\u091a\u0947 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0917\u094d\u0930\u093e\u092b \u0907\u0938\u0940 \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 \u0915\u094b \u0926\u093f\u0916\u093e\u0924\u093e \u0939\u0948\u0964<div style=\"background:#e3f2fd;border:2px solid #2196f3;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">x \u2192 y, x \u092c\u0922\u093c\u0947 y \u092c\u0922\u093c\u0947 \u0924\u094b \u090a\u092a\u0930, x \u092c\u0922\u093c\u0947 y \u0918\u091f\u0947 \u0924\u094b \u0928\u0940\u091a\u0947<\/span><br><span>\u0917\u094d\u0930\u093e\u092b = \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 \u0915\u0940 \u0924\u0938\u094d\u0935\u0940\u0930<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5g-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - \u092b\u0932\u0928 Function \u092a\u0930\u093f\u092d\u093e\u0937\u093e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;\">\u092b\u0932\u0928 \u0915\u094d\u092f\u093e? - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>\u0939\u0930 Input \u0915\u0947 \u0932\u093f\u090f \u090f\u0915 \u0939\u0940 Output \u0939\u094b \u0924\u094b \u092b\u0932\u0928 \u0915\u0939\u0932\u093e\u0924\u093e \u0939\u0948\u0964 \u090f\u0915 Input \u0938\u0947 \u0926\u094b Output \u0928\u0939\u0940\u0902 \u0928\u093f\u0915\u0932 \u0938\u0915\u0924\u0947\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-size:18px;font-weight:bold;\">f(x) = 2x<\/div><div>f(1)=2 , f(2)=4 , f(3)=6<\/div><div>\u0939\u0930 x \u0915\u093e \u090f\u0915 y<\/div><div>1 Input \u2192 1 Output = Function<\/div><div>1 Input \u2192 2 Output = Not Function<\/div><\/div>\u0909\u0926\u093e: y=2x Function \u0939\u0948\u0964 y\u00b2=x Function \u0928\u0939\u0940\u0902 \u0915\u094d\u092f\u094b\u0902\u0915\u093f x=4 \u092a\u0930 y=2 \u0914\u0930 -2 \u0926\u094b Output\u0964<br><br><div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:6px 10px;font-weight:bold;\">\u0921\u094b\u092e\u0947\u0928 \u0930\u0947\u0902\u091c - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>\u091c\u094b \u0921\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u094b \u0935\u0939 \u0921\u094b\u092e\u0947\u0928\u0964 \u091c\u094b \u0928\u093f\u0915\u0932\u0924\u093e \u0939\u0948 \u0935\u0939 \u0930\u0947\u0902\u091c\u0964<br>\u0921\u094b\u092e\u0947\u0928 = Input \u0915\u0940 \u0926\u0941\u0928\u093f\u092f\u093e<br>\u0930\u0947\u0902\u091c = Output \u0915\u0940 \u0926\u0941\u0928\u093f\u092f\u093e<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">\u0921\u094b\u092e\u0947\u0928 = x \u0915\u0947 \u092e\u093e\u0928, \u0930\u0947\u0902\u091c = y \u0915\u0947 \u092e\u093e\u0928<\/span><br><span>f(x)=2x \u0921\u094b\u092e\u0947\u0928 \u0938\u092d\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0930\u0947\u0902\u091c \u092d\u0940 \u0938\u092d\u0940<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5g-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - \u0917\u094d\u0930\u093e\u092b \u0915\u094d\u092f\u093e? \u090a\u092a\u0930-\u0928\u0940\u091a\u0947<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:6px 10px;font-weight:bold;\">\u0917\u094d\u0930\u093e\u092b \u0915\u0948\u0938\u0947 \u092c\u0928\u0924\u093e? - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>x \u0914\u0930 y \u0915\u0947 \u091c\u094b\u0921\u093c\u0947 (x,y) \u092c\u093f\u0902\u0926\u0941 \u092c\u0928\u093e\u0924\u0947 \u0939\u0948\u0902\u0964 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u094b \u091c\u094b\u0921\u093c\u094b \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u0924\u093e \u0939\u0948\u0964<br>y=2x \u0915\u093e \u0917\u094d\u0930\u093e\u092b: (0,0), (1,2), (2,4)... \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u090a\u092a\u0930 \u091c\u093e\u0924\u0940 \u0939\u0948\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-size:16px;font-weight:bold;\">y=2x \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u090a\u092a\u0930<\/div><div style=\"font-size:16px;font-weight:bold;\">y=x\u00b2 U \u0906\u0915\u093e\u0930 \u090a\u092a\u0930<\/div><div style=\"font-size:16px;font-weight:bold;\">y=-x \u0928\u0940\u091a\u0947<\/div><div>\u090a\u092a\u0930 = \u092c\u0922\u093c\u0928\u093e, \u0928\u0940\u091a\u0947 = \u0918\u091f\u0928\u093e<\/div><\/div>\u0917\u094d\u0930\u093e\u092b \u0938\u0947 \u092a\u0924\u093e \u091a\u0932\u0924\u093e \u0939\u0948 Function \u090a\u092a\u0930 \u091c\u093e \u0930\u0939\u093e \u0939\u0948 \u092f\u093e \u0928\u0940\u091a\u0947\u0964<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;margin-top:8px;\">\u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>x \u092c\u0922\u093c\u0947 y \u092c\u0922\u093c\u0947 \u0924\u094b \u092c\u0922\u093c\u0924\u093e Function\u0964<br>x \u092c\u0922\u093c\u0947 y \u0918\u091f\u0947 \u0924\u094b \u0918\u091f\u0924\u093e Function\u0964<br>y=x \u092c\u0922\u093c\u0924\u093e, y=-x \u0918\u091f\u0924\u093e, y=x\u00b2 \u092a\u0939\u0932\u0947 \u0918\u091f\u0924\u093e \u092b\u093f\u0930 \u092c\u0922\u093c\u0924\u093e\u0964<\/div><\/div>\n\n<div id=\"ch5g-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - \u092a\u094d\u0930\u0915\u093e\u0930 Trick<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#f3e5f5;border-left:4px solid #6a1b9a;padding:6px 10px;font-weight:bold;\">\u092b\u0932\u0928 \u0915\u0947 \u092a\u094d\u0930\u0915\u093e\u0930 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>1. \u0905\u091a\u0930 \u092b\u0932\u0928: y=3 \u0939\u092e\u0947\u0936\u093e 3, \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930\u0964<br>2. \u0930\u0948\u0916\u093f\u0915 \u092b\u0932\u0928: y=2x+3 \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e \u090a\u092a\u0930-\u0928\u0940\u091a\u0947\u0964<br>3. \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u092b\u0932\u0928: y=x\u00b2 \u092a\u0930\u0935\u0932\u092f U \u0906\u0915\u093e\u0930\u0964<br>4. \u0918\u0928 \u092b\u0932\u0928: y=x\u00b3 S \u0906\u0915\u093e\u0930\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-size:15px;font-weight:bold;\">y=c \u0905\u091a\u0930 - \u0938\u0940\u0927\u0940 \u0915\u094d\u0937\u0948\u0924\u093f\u091c<\/div><div style=\"font-size:15px;font-weight:bold;\">y=mx+c \u0930\u0948\u0916\u093f\u0915 - \u0938\u0940\u0927\u0940 \u0924\u093f\u0930\u091b\u0940<\/div><div style=\"font-size:15px;font-weight:bold;\">y=x\u00b2 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 - U \u092a\u0930\u0935\u0932\u092f<\/div><div style=\"font-size:15px;font-weight:bold;\">y=x\u00b3 \u0918\u0928 - S \u0906\u0915\u093e\u0930<\/div><div style=\"font-size:13px;margin-top:4px;background:#fff;padding:3px;border-radius:5px;\">\u0917\u094b-\u0917\u094b = f(x), \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 = \u0917\u094d\u0930\u093e\u092b<\/div><\/div><div style=\"background:#e0f2f1;border-left:4px solid #009688;padding:6px 10px;font-weight:bold;margin-top:8px;\">Trick - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>Function \u091c\u093e\u0901\u091a: Vertical Line Test\u0964 \u0917\u094d\u0930\u093e\u092b \u092a\u0930 \u0916\u0921\u093c\u0940 \u0930\u0947\u0916\u093e \u0916\u0940\u0902\u091a\u094b \u090f\u0915 \u092c\u093e\u0930 \u0915\u093e\u091f\u0947 \u0924\u094b Function \u0926\u094b \u092c\u093e\u0930 \u0915\u093e\u091f\u0947 \u0924\u094b \u0928\u0939\u0940\u0902\u0964<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"ch5gp\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"ch5gi\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-size:15px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"ch5gn\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('ch5g-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('ch5gi').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('ch5gn').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('ch5gp').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-956-1\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-956-1-0\"  class=\"panel-grid-cell\" ><div id=\"panel-956-1-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"1\" ><div class=\"textwidget custom-html-widget\"><div id=\"FILE2-CH5-GANIT\" style=\"max-width:860px;margin:12px auto;border:3.5px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:8px 10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:6px 18px;border-radius:20px;font-weight:bold;font-size:11px;\">Ch5 - \u092e\u0948\u0902 \u0939\u0942\u0901 \u0917\u094b-\u0917\u094b - \u092d\u093e\u0917 2\/4 - \u092b\u0949\u0930\u094d\u092e\u0942\u0932\u0947 \u0917\u094d\u0930\u093e\u092b \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"ch5f2-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - \u0930\u0948\u0916\u093f\u0915 \u092b\u0932\u0928 y=mx+c<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:6px 10px;font-weight:bold;\">\u0930\u0948\u0916\u093f\u0915 \u092b\u0932\u0928 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>y=mx+c \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e\u0964 m \u0922\u093e\u0932 \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 \u0915\u093f\u0924\u0928\u093e \u0924\u0947\u091c\u093c\u0964 c \u091c\u0939\u093e\u0901 y \u0905\u0915\u094d\u0937 \u0915\u093e\u091f\u0947\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-size:18px;font-weight:bold;\">y = mx + c<\/div><div>m = \u0922\u093e\u0932 = (y2-y1)\/(x2-x1)<\/div><div>m>0 \u090a\u092a\u0930 \u091c\u093e\u0924\u093e, m<0 \u0928\u0940\u091a\u0947 \u091c\u093e\u0924\u093e, m=0 \u0915\u094d\u0937\u0948\u0924\u093f\u091c<\/div><div>c = y-\u0905\u0902\u0924\u0903\u0916\u0902\u0921 x=0 \u092a\u0930 y<\/div><div>\u0909\u0926\u093e: y=2x+3 m=2 \u090a\u092a\u0930 c=3<\/div><\/div>\u0926\u094b \u092c\u093f\u0902\u0926\u0941 \u091a\u093e\u0939\u093f\u090f \u0930\u0947\u0916\u093e \u092c\u0928\u093e\u0928\u0947\u0964<br>y=2x+3: x=0 y=3, x=1 y=5 \u092c\u093f\u0902\u0926\u0941 (0,3) (1,5) \u091c\u094b\u0921\u093c\u094b \u0930\u0947\u0916\u093e\u0964<div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;margin-top:8px;\">\u0922\u093e\u0932 \u0928\u093f\u0915\u093e\u0932\u0928\u093e - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>\u0922\u093e\u0932 = \u090a\u092a\u0930\/\u0906\u0917\u0947\u0964 1 \u0906\u0917\u0947 2 \u090a\u092a\u0930 \u0924\u094b \u0922\u093e\u0932 2\u0964<br>y=x \u0922\u093e\u09321 45\u00b0, y=2x \u0922\u093e\u09322 \u091c\u094d\u092f\u093e\u0926\u093e \u0916\u0921\u093c\u0940 \u090a\u092a\u0930\u0964<\/div><\/div>\n\n<div id=\"ch5f2-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - \u0926\u094d\u0935\u093f\u0918\u093e\u0924 y=x\u00b2 \u092a\u0930\u0935\u0932\u092f<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;\">y=x\u00b2 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>y=x\u00b2 U \u0906\u0915\u093e\u0930\u0964 x=0 \u092a\u0930 \u0938\u092c\u0938\u0947 \u0928\u0940\u091a\u0947 0\u0964 \u092c\u093e\u090f\u0901 \u0918\u091f\u0924\u093e \u0926\u093e\u090f\u0901 \u092c\u0922\u093c\u0924\u093e\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-size:18px;font-weight:bold;\">y = x\u00b2<\/div><div>\u092c\u093f\u0902\u0926\u0941: (-2,4) (-1,1) (0,0) (1,1) (2,4)<\/div><div>U \u092a\u0930\u0935\u0932\u092f, \u0936\u0940\u0930\u094d\u0937 (0,0) \u0938\u092c\u0938\u0947 \u0928\u0940\u091a\u0947<\/div><div>y = -x\u00b2 \u0909\u0932\u094d\u091f\u093e U \u0938\u092c\u0938\u0947 \u090a\u092a\u0930<\/div><div>y = x\u00b2+2x+1 = (x+1)\u00b2 \u0936\u0940\u0930\u094d\u0937 (-1,0)<\/div><\/div>\u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0930\u0942\u092a y=ax\u00b2+bx+c\u0964 a>0 U \u090a\u092a\u0930, a<0 \u2229 \u0928\u0940\u091a\u0947\u0964<br>\u0936\u0940\u0930\u094d\u0937 = -b\/2a \u092a\u0930\u0964<br>y=x\u00b2+2x+1 \u092e\u0947\u0902 a=1 b=2 \u0936\u0940\u0930\u094d\u0937 x=-1 y=0\u0964<div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:6px 10px;font-weight:bold;margin-top:8px;\">\u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>y=x\u00b2 x<0 \u0918\u091f\u0924\u093e, x>0 \u092c\u0922\u093c\u0924\u093e\u0964<br>y=-x\u00b2 x<0 \u092c\u0922\u093c\u0924\u093e, x>0 \u0918\u091f\u0924\u093e\u0964<\/div><\/div>\n\n<div id=\"ch5f2-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - \u0918\u0928 \u0914\u0930 \u0905\u0928\u094d\u092f y=x\u00b3 y=1\/x<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:6px 10px;font-weight:bold;\">y=x\u00b3 \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>y=x\u00b3 S \u0906\u0915\u093e\u0930\u0964 (-1,-1) (0,0) (1,1) \u0938\u0947 \u0917\u0941\u091c\u0930\u0924\u093e\u0964 \u092c\u0922\u093c\u0924\u093e \u0939\u0940 \u0930\u0939\u0924\u093e\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-size:18px;font-weight:bold;\">y = x\u00b3<\/div><div>(-2,-8) (-1,-1) (0,0) (1,1) (2,8)<\/div><div>S \u0906\u0915\u093e\u0930, \u0939\u092e\u0947\u0936\u093e \u092c\u0922\u093c\u0924\u093e<\/div><div>y = -x\u00b3 \u0909\u0932\u094d\u091f\u093e S \u0939\u092e\u0947\u0936\u093e \u0918\u091f\u0924\u093e<\/div><\/div><div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;margin-top:8px;\">y=1\/x \u0914\u0930 \u0905\u091a\u0930 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>y=1\/x \u0926\u094b \u092d\u093e\u0917 \u092e\u0947\u0902\u0964 x=0 \u092a\u0930 \u0928\u0939\u0940\u0902 \u092c\u0928\u0924\u093e\u0964 x \u092c\u0922\u093c\u0947 y \u0918\u091f\u0947\u0964<br>y=c \u0905\u091a\u0930 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0930\u0947\u0916\u093e\u0964 y=3 \u0924\u094b \u0939\u092e\u0947\u0936\u093e 3\u0964<br>y=x \u0930\u0947\u0916\u093e 45\u00b0 \u092c\u0930\u093e\u092c\u0930 \u090a\u092a\u0930\u0964<div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">y=c \u0915\u094d\u0937\u0948\u0924\u093f\u091c, y=x 45\u00b0 \u090a\u092a\u0930, y=1\/x \u0926\u094b \u091f\u0941\u0915\u0921\u093c\u093e, y=|x| V \u0906\u0915\u093e\u0930<\/span><\/div>y=|x| = x \u092f\u0926\u093f x\u22650, -x \u092f\u0926\u093f x<0 V \u0906\u0915\u093e\u0930 \u0938\u092c\u0938\u0947 \u0928\u0940\u091a\u0947 0\u0964<\/div><\/div>\n\n<div id=\"ch5f2-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - \u0938\u092d\u0940 \u0917\u094d\u0930\u093e\u092b Trick<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#f3e5f5;border-left:4px solid #6a1b9a;padding:6px 10px;font-weight:bold;\">\u0938\u092d\u0940 \u0917\u094d\u0930\u093e\u092b \u090f\u0915 \u0938\u093e\u0925 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:10px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-size:15px;font-weight:bold;\">y=mx+c \u0938\u0940\u0927\u0940 - m>0 \u090a\u092a\u0930 m<0 \u0928\u0940\u091a\u0947<\/div><div style=\"font-size:15px;font-weight:bold;\">y=x\u00b2 U - \u0936\u0940\u0930\u094d\u0937 (0,0) a>0 \u090a\u092a\u0930<\/div><div style=\"font-size:15px;font-weight:bold;\">y=-x\u00b2 \u2229 - \u0936\u0940\u0930\u094d\u0937 \u0938\u092c\u0938\u0947 \u090a\u092a\u0930<\/div><div style=\"font-size:15px;font-weight:bold;\">y=x\u00b3 S - \u0939\u092e\u0947\u0936\u093e \u092c\u0922\u093c\u0924\u093e<\/div><div style=\"font-size:15px;font-weight:bold;\">y=|x| V - \u0938\u092c\u0938\u0947 \u0928\u0940\u091a\u0947 0<\/div><div style=\"font-size:15px;font-weight:bold;\">y=c \u0915\u094d\u0937\u0948\u0924\u093f\u091c<\/div><div style=\"font-size:13px;margin-top:4px;background:#fff;padding:3px;border-radius:5px;\">\u0922\u093e\u0932 m=(y2-y1)\/(x2-x1) \u0936\u0940\u0930\u094d\u0937 -b\/2a<\/div><\/div><div style=\"background:#e0f2f1;border-left:4px solid #009688;padding:6px 10px;font-weight:bold;margin-top:8px;\">Function \u091c\u093e\u0901\u091a Trick - \u0939\u0947\u0921\u093f\u0902\u0917<\/div>Vertical Line Test: \u0916\u0921\u093c\u0940 \u0930\u0947\u0916\u093e \u0917\u094d\u0930\u093e\u092b \u0915\u094b \u090f\u0915 \u092c\u093e\u0930 \u0915\u093e\u091f\u0947 \u0924\u094b Function\u0964 y\u00b2=x \u092e\u0947\u0902 \u0916\u0921\u093c\u0940 \u0930\u0947\u0916\u093e \u0926\u094b \u092c\u093e\u0930 \u0915\u093e\u091f\u0924\u0940 \u0907\u0938\u0932\u093f\u090f Not Function\u0964<br>Domain: x \u0915\u0947 \u092e\u093e\u0928 \u091c\u094b \u0921\u093e\u0932 \u0938\u0915\u0924\u0947 \u0939\u094b\u0964 Range: y \u0915\u0947 \u092e\u093e\u0928 \u091c\u094b \u0928\u093f\u0915\u0932\u0924\u0947 \u0939\u0948\u0902\u0964<br>y=x\u00b2 Domain \u0938\u092d\u0940 Range y\u22650\u0964<br>y=1\/x Domain x\u22600 Range y\u22600\u0964<\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"ch5f2p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"ch5f2i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-size:15px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"ch5f2n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('ch5f2-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('ch5f2i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('ch5f2n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('ch5f2p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-956-2\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-956-2-0\"  class=\"panel-grid-cell\" ><div id=\"panel-956-2-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"2\" ><div class=\"textwidget custom-html-widget\"><div id=\"FILE3-CH5-GANIT\" style=\"max-width:860px;margin:12px auto;border:3.5px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:8px 10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:6px 18px;border-radius:20px;font-weight:bold;font-size:11px;\">Ch5 - \u0917\u094b-\u0917\u094b - \u092d\u093e\u0917 3\/4 - \u0905\u092d\u094d\u092f\u093e\u0938 5.1 \u0938\u0947 5.5<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"ch5f3-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - 5.1 Function \u091c\u093e\u0901\u091a<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:6px 10px;font-weight:bold;\">5.1 Q1-Q8 - Function \u0939\u0948 \u092f\u093e \u0928\u0939\u0940\u0902 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q1. f(x)=2x+3 x=2 \u092a\u0930?<\/b><br>f(2)=4+3=7<br><br><b>Q2. f(x)=x\u00b2 x=3 \u092a\u0930?<\/b><br>f(3)=9<br><br><b>Q3. f(x)=x\u00b2+1 x=1,2?<\/b><br>f(1)=2 f(2)=5<br><br><b>Q4. y=2x Function?<\/b><br>\u0939\u093e\u0901 \u0939\u0930 x \u0915\u093e \u090f\u0915 y\u0964<br><br><b>Q5. y\u00b2=x Function?<\/b><br>\u0928\u0939\u0940\u0902 x=4 \u092a\u0930 y=2,-2 \u0926\u094b Output\u0964<br><br><b>Q6. x\u00b2+y\u00b2=4 Function?<\/b><br>\u0928\u0939\u0940\u0902 \u0935\u0943\u0924\u094d\u0924, \u090f\u0915 x \u092a\u0930 \u0926\u094b y\u0964<br><br><b>Q7. \u0921\u094b\u092e\u0947\u0928 \u0930\u0947\u0902\u091c f(x)=2x x=1,2,3?<\/b><br>\u0921\u094b\u092e\u0947\u0928 1,2,3 \u0930\u0947\u0902\u091c 2,4,6<br><br><b>Q8. f(x)=x+5 x=0 \u092a\u0930?<\/b><br>f(0)=5 y-\u0905\u0902\u0924\u0903\u0916\u0902\u0921<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">5.1 \u0916\u0924\u094d\u092e 1 Input 1 Output = Function Vertical Line \u090f\u0915 \u092c\u093e\u0930<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5f3-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - 5.2 \u0930\u0948\u0916\u093f\u0915 \u0917\u094d\u0930\u093e\u092b<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;\">5.2 Q1-Q8 - y=mx+c \u0917\u094d\u0930\u093e\u092b - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q1. y=2x \u0917\u094d\u0930\u093e\u092b \u092c\u0928\u093e\u0913 \u092c\u093f\u0902\u0926\u0941?<\/b><br>(0,0) (1,2) (2,4) \u0938\u0940\u0927\u0940 \u090a\u092a\u0930 m=2<br><br><b>Q2. y=x+3 \u0917\u094d\u0930\u093e\u092b?<\/b><br>(0,3) (1,4) m=1 c=3<br><br><b>Q3. y=-x \u0917\u094d\u0930\u093e\u092b?<\/b><br>(0,0) (1,-1) \u0928\u0940\u091a\u0947 m=-1<br><br><b>Q4. y=3x-2 \u0922\u093e\u0932 \u0905\u0902\u0924\u0903\u0916\u0902\u0921?<\/b><br>m=3 c=-2 \u090a\u092a\u0930 \u0924\u0947\u091c\u093c<br><br><b>Q5. y=4 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u0917\u094d\u0930\u093e\u092b?<\/b><br>\u0939\u092e\u0947\u0936\u093e 4, m=0<br><br><b>Q6. \u0926\u094b \u092c\u093f\u0902\u0926\u0941 (0,1) (1,3) \u0922\u093e\u0932?<\/b><br>m=(3-1)\/(1-0)=2<br><br><b>Q7. y=2x+1 \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e?<\/b><br>m=2>0 \u092c\u0922\u093c\u0924\u093e \u090a\u092a\u0930<br><br><b>Q8. y=-2x+1 \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e?<\/b><br>m=-2<0 \u0918\u091f\u0924\u093e \u0928\u0940\u091a\u0947<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">5.2 \u0916\u0924\u094d\u092e y=mx+c m \u0922\u093e\u0932 c \u0905\u0902\u0924\u0903\u0916\u0902\u0921 m>0 \u090a\u092a\u0930 m<0 \u0928\u0940\u091a\u0947<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5f3-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - 5.3 \u0926\u094d\u0935\u093f\u0918\u093e\u0924 y=x\u00b2<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:6px 10px;font-weight:bold;\">5.3 Q1-Q8 - \u092a\u0930\u0935\u0932\u092f - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q1. y=x\u00b2 \u092c\u093f\u0902\u0926\u0941?<\/b><br>(-2,4)(-1,1)(0,0)(1,1)(2,4) U<br><br><b>Q2. y=-x\u00b2?<\/b><br>\u2229 \u0909\u0932\u094d\u091f\u093e \u0938\u092c\u0938\u0947 \u090a\u092a\u0930 0<br><br><b>Q3. y=x\u00b2+1 \u0917\u094d\u0930\u093e\u092b?<\/b><br>y=x\u00b2 1 \u090a\u092a\u0930 \u0916\u093f\u0938\u0915\u093e \u0936\u0940\u0930\u094d\u0937 (0,1)<br><br><b>Q4. y=(x-1)\u00b2?<\/b><br>1 \u0926\u093e\u090f\u0901 \u0916\u093f\u0938\u0915\u093e \u0936\u0940\u0930\u094d\u0937 (1,0)<br><br><b>Q5. y=x\u00b2+2x+1 \u0936\u0940\u0930\u094d\u0937?<\/b><br>(x+1)\u00b2 \u0936\u0940\u0930\u094d\u0937 -b\/2a=-1 y=0<br><br><b>Q6. y=x\u00b2-4x+4 \u0936\u0940\u0930\u094d\u0937?<\/b><br>(x-2)\u00b2 \u0936\u0940\u0930\u094d\u0937 (2,0)<br><br><b>Q7. y=x\u00b2 \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e?<\/b><br>x<0 \u0918\u091f\u0924\u093e x>0 \u092c\u0922\u093c\u0924\u093e<br><br><b>Q8. Domain Range y=x\u00b2?<\/b><br>Domain \u0938\u092d\u0940 Range y\u22650<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:8px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-weight:bold;\">y=x\u00b2 U \u0936\u0940\u0930\u094d\u0937 (0,0) a>0 \u090a\u092a\u0930 a<0 \u0928\u0940\u091a\u0947<\/div><div>\u0936\u0940\u0930\u094d\u0937 -b\/2a Domain \u0938\u092d\u0940 Range y\u22650<\/div><\/div><\/div><\/div>\n\n<div id=\"ch5f3-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - 5.4 5.5 \u0918\u0928 \u0914\u0930 \u0905\u0928\u094d\u092f<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#f3e5f5;border-left:4px solid #6a1b9a;padding:6px 10px;font-weight:bold;\">5.4 5.5 Q1-Q8 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q1. y=x\u00b3 \u092c\u093f\u0902\u0926\u0941?<\/b><br>(-1,-1)(0,0)(1,1)(2,8) S \u092c\u0922\u093c\u0924\u093e<br><br><b>Q2. y=-x\u00b3?<\/b><br>\u0909\u0932\u094d\u091f\u093e S \u0918\u091f\u0924\u093e<br><br><b>Q3. y=|x| \u0917\u094d\u0930\u093e\u092b?<\/b><br>V (-1,1)(0,0)(1,1) \u0938\u092c\u0938\u0947 \u0928\u0940\u091a\u0947 0<br><br><b>Q4. y=1\/x \u0917\u094d\u0930\u093e\u092b?<\/b><br>\u0926\u094b \u092d\u093e\u0917 x\u22600, x \u092c\u0922\u093c\u0947 y \u0918\u091f\u0947<br><br><b>Q5. y=2 Domain Range?<\/b><br>\u0915\u094d\u0937\u0948\u0924\u093f\u091c Domain \u0938\u092d\u0940 Range 2<br><br><b>Q6. f(x)=3x+2 f(0) f(1) f(-1)?<\/b><br>f(0)=2 f(1)=5 f(-1)=-1<br><br><b>Q7. Vertical Line Test \u0915\u094d\u092f\u093e?<\/b><br>\u0916\u0921\u093c\u0940 \u0930\u0947\u0916\u093e \u090f\u0915 \u092c\u093e\u0930 \u0915\u093e\u091f\u0947 Function \u0926\u094b \u092c\u093e\u0930 Not<br><br><b>Q8. y\u00b2=4x Function?<\/b><br>\u0928\u0939\u0940\u0902 \u0926\u094b y x=1 \u092a\u0930 y=2,-2<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:8px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-weight:bold;\">5.4 5.5 \u0916\u0924\u094d\u092e<\/div><div>y=x\u00b3 S \u092c\u0922\u093c\u0924\u093e y=|x| V y=1\/x \u0926\u094b \u092d\u093e\u0917<\/div><div>Vertical Line \u090f\u0915 \u092c\u093e\u0930 Function<\/div><\/div><\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"ch5f3p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"ch5f3i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-size:15px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"ch5f3n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('ch5f3-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('ch5f3i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('ch5f3n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('ch5f3p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-956-3\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-956-3-0\"  class=\"panel-grid-cell\" ><div id=\"panel-956-3-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"3\" ><div class=\"textwidget custom-html-widget\"><div id=\"FILE3B-CH5-5P6\" style=\"max-width:860px;margin:12px auto;border:3.5px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:8px 10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:6px 18px;border-radius:20px;font-weight:bold;font-size:11px;\">Ch5 - 5.6 - \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 \u092e\u093f\u0936\u094d\u0930\u093f\u0924 - \u092d\u093e\u0917 \u0905\u0932\u0917<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"ch5b-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - 5.6 Q1-Q4 - \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:6px 10px;font-weight:bold;\">5.6 Q1-Q4 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q1. y=3x+2 \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e \u092c\u0924\u093e\u0913?<\/b><br>\u0939\u0932: m=3>0 \u0907\u0938\u0932\u093f\u090f x \u092c\u0922\u093c\u0947 y \u092c\u0922\u093c\u0947 \u090a\u092a\u0930 \u092c\u0922\u093c\u0924\u093e\u0964<br><br><b>Q2. y=-2x+5 \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e?<\/b><br>m=-2<0 x \u092c\u0922\u093c\u0947 y \u0918\u091f\u0947 \u0928\u0940\u091a\u0947 \u0918\u091f\u0924\u093e\u0964<br><br><b>Q3. y=x\u00b2 -2 \u0938\u0947 2 \u0924\u0915 \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e?<\/b><br>x<0 \u0924\u0915 \u0918\u091f\u0924\u093e -2 \u0938\u0947 0 \u0928\u0940\u091a\u0947, x>0 \u092c\u0922\u093c\u0924\u093e 0 \u0938\u0947 2 \u090a\u092a\u0930, 0 \u092a\u0930 \u0938\u092c\u0938\u0947 \u0928\u0940\u091a\u0947\u0964<br><br><b>Q4. y=x\u00b3 -1 \u0938\u0947 1 \u0924\u0915?<\/b><br>\u0939\u092e\u0947\u0936\u093e \u092c\u0922\u093c\u0924\u093e -1 \u0938\u0947 1 \u0924\u0915 \u090a\u092a\u0930 \u091c\u093e\u0924\u093e -1 \u0938\u0947 1\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">5.6 Q1-Q4 m>0 \u092c\u0922\u093c\u0924\u093e m<0 \u0918\u091f\u0924\u093e y=x\u00b2 \u092a\u0939\u0932\u0947 \u0918\u091f\u0924\u093e \u092b\u093f\u0930 \u092c\u0922\u093c\u0924\u093e<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5b-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - 5.6 Q5-Q8 - \u0905\u0927\u093f\u0915\u0924\u092e \u0928\u094d\u092f\u0942\u0928\u0924\u092e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;\">5.6 Q5-Q8 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q5. y=x\u00b2+4x+4 \u0905\u0927\u093f\u0915\u0924\u092e \u0928\u094d\u092f\u0942\u0928\u0924\u092e?<\/b><br>\u0939\u0932: (x+2)\u00b2 \u0936\u0940\u0930\u094d\u0937 (-2,0) \u0928\u094d\u092f\u0942\u0928\u0924\u092e 0 \u0905\u0927\u093f\u0915\u0924\u092e \u0928\u0939\u0940\u0902 U\u0964<br><br><b>Q6. y=-x\u00b2+4 \u0905\u0927\u093f\u0915\u0924\u092e?<\/b><br>\u2229 \u0909\u0932\u094d\u091f\u093e \u0936\u0940\u0930\u094d\u0937 (0,4) \u0905\u0927\u093f\u0915\u0924\u092e 4 \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0928\u0939\u0940\u0902\u0964<br><br><b>Q7. y=2x\u00b2-8x+8 \u0936\u0940\u0930\u094d\u0937?<\/b><br>y=2(x-2)\u00b2 \u0936\u0940\u0930\u094d\u0937 (2,0) \u0928\u094d\u092f\u0942\u0928\u0924\u092e 0\u0964 -b\/2a=8\/4=2\u0964<br><br><b>Q8. y=x\u00b2-2x+1 \u0936\u0940\u0930\u094d\u0937?<\/b><br>(x-1)\u00b2 \u0936\u0940\u0930\u094d\u0937 (1,0) \u0928\u094d\u092f\u0942\u0928\u0924\u092e 0\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">5.6 Q5-Q8 U \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u2229 \u0905\u0927\u093f\u0915\u0924\u092e \u0936\u0940\u0930\u094d\u0937 -b\/2a<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5b-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - 5.6 Q9-Q12 - \u0921\u094b\u092e\u0947\u0928 \u0930\u0947\u0902\u091c \u0917\u094d\u0930\u093e\u092b<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:6px 10px;font-weight:bold;\">5.6 Q9-Q12 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q9. f(x)=\u221ax \u0921\u094b\u092e\u0947\u0928 \u0930\u0947\u0902\u091c \u0917\u094d\u0930\u093e\u092b?<\/b><br>\u0921\u094b\u092e\u0947\u0928 x\u22650 \u0930\u0947\u0902\u091c y\u22650 \u0917\u094d\u0930\u093e\u092b \u0926\u093e\u090f\u0901 \u090a\u092a\u0930\u0964<br><br><b>Q10. f(x)=1\/x \u0921\u094b\u092e\u0947\u0928 \u0930\u0947\u0902\u091c?<\/b><br>\u0921\u094b\u092e\u0947\u0928 x\u22600 \u0930\u0947\u0902\u091c y\u22600 \u0926\u094b \u092d\u093e\u0917 \u0917\u094d\u0930\u093e\u092b\u0964<br><br><b>Q11. f(x)=|x-2| \u0917\u094d\u0930\u093e\u092b?<\/b><br>V \u0936\u0940\u0930\u094d\u0937 (2,0) \u0926\u093e\u090f\u0901 0 \u092c\u093e\u090f\u0901 0 \u0938\u0947 \u090a\u092a\u0930\u0964 (-1,3)(0,2)(2,0)(4,2)<br><br><b>Q12. f(x)=x\u00b2+2x+5 Domain Range \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e?<\/b><br>Domain \u0938\u092d\u0940, (x+1)\u00b2+4 \u0936\u0940\u0930\u094d\u0937 (-1,4) Range y\u22654, x<-1 \u0918\u091f\u0924\u093e x>-1 \u092c\u0922\u093c\u0924\u093e\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:8px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-weight:bold;\">Domain Input Range Output<\/div><div>\u221ax x\u22650 |x| V y\u22650 1\/x x\u22600<\/div><\/div><\/div><\/div>\n\n<div id=\"ch5b-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - 5.6 Q13-Q16 - \u0905\u0902\u0924\u093f\u092e \u0924\u0915<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#f3e5f5;border-left:4px solid #6a1b9a;padding:6px 10px;font-weight:bold;\">5.6 Q13-Q16 - \u092c\u093f\u0932\u0915\u0941\u0932 \u0905\u0902\u0924\u093f\u092e - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q13. f(x)=2x+3 \u0914\u0930 g(x)=x\u00b2 \u0924\u094b f(g(2))?<\/b><br>g(2)=4 f(4)=11<br><br><b>Q14. f(x)=x\u00b2 g(x)=x+1 \u0924\u094b g(f(2))?<\/b><br>f(2)=4 g(4)=5<br><br><b>Q15. \u0917\u094d\u0930\u093e\u092b \u0938\u0947 \u092c\u0924\u093e\u0913 f(0)=? f(1)=? y=x+1 \u092a\u0930?<\/b><br>f(0)=1 f(1)=2 (0,1)(1,2)<br><br><b>Q16. \u0905\u0902\u0924\u093f\u092e \u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u094b y=x\u00b2 \u0914\u0930 y=-x\u00b2 \u090f\u0915 \u0926\u0942\u0938\u0930\u0947 \u0915\u093e \u0909\u0932\u094d\u091f\u093e\u0964<\/b><br>y=x\u00b2 U \u0928\u094d\u092f\u0942\u0928\u0924\u092e 0, y=-x\u00b2 \u2229 \u0905\u0927\u093f\u0915\u0924\u092e 0, x \u0905\u0915\u094d\u0937 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u093f\u092c\u093f\u0902\u092c, \u090f\u0915 \u090a\u092a\u0930 \u090f\u0915 \u0928\u0940\u091a\u0947\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:8px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-weight:bold;\">5.6 \u0905\u0902\u0924\u093f\u092e \u0924\u0915 \u0916\u0924\u094d\u092e<\/div><div>f(g(x)) \u092a\u0939\u0932\u0947 \u0905\u0902\u0926\u0930 g \u092b\u093f\u0930 \u092c\u093e\u0939\u0930 f<\/div><div>U \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u2229 \u0905\u0927\u093f\u0915\u0924\u092e<\/div><div>m>0 \u092c\u0922\u093c\u0924\u093e m<0 \u0918\u091f\u0924\u093e<\/div><\/div><\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"ch5b5p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"ch5b5i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-size:15px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"ch5b5n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('ch5b-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('ch5b5i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('ch5b5n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('ch5b5p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-956-4\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-956-4-0\"  class=\"panel-grid-cell\" ><div id=\"panel-956-4-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"4\" ><div class=\"textwidget custom-html-widget\"><div id=\"FILE4-CH5-ANTIM\" style=\"max-width:860px;margin:12px auto;border:3.5px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:8px 10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:6px 18px;border-radius:20px;font-weight:bold;font-size:11px;\">Ch5 - \u0905\u0902\u0924\u093f\u092e \u092a\u094d\u0930\u0936\u094d\u0928\u093e\u0935\u0932\u0940 - 16 Q<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"ch5a-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - Q1-Q4 - \u0905\u0902\u0924\u093f\u092e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:6px 10px;font-weight:bold;\">\u0905\u0902\u0924\u093f\u092e Q1-Q4 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q1. f(x)=3x-5 f(0) f(1) f(2)?<\/b><br>f(0)=-5 f(1)=-2 f(2)=1<br><br><b>Q2. y=2x+1 \u0914\u0930 y=-x+4 \u0915\u0939\u093e\u0901 \u092e\u093f\u0932\u0924\u0947?<\/b><br>2x+1=-x+4 =>3x=3 x=1 y=3 \u092c\u093f\u0902\u0926\u0941 (1,3)<br><br><b>Q3. y=x\u00b2 \u0914\u0930 y=4x \u0915\u0939\u093e\u0901 \u092e\u093f\u0932\u0924\u0947?<\/b><br>x\u00b2=4x =>x\u00b2-4x=0 x(x-4)=0 x=0,4 \u092c\u093f\u0902\u0926\u0941 (0,0)(4,16)<br><br><b>Q4. y=x\u00b2 \u0915\u093e Domain Range \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e?<\/b><br>Domain \u0938\u092d\u0940, Range y\u22650, x<0 \u0918\u091f\u0924\u093e x>0 \u092c\u0922\u093c\u0924\u093e U \u0928\u094d\u092f\u0942\u0928\u0924\u092e 0\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">Q1-Q4 f(x) \u092e\u093e\u0928, \u0926\u094b \u0930\u0947\u0916\u093e \u092e\u093f\u0932\u0928\u093e \u092c\u0930\u093e\u092c\u0930 \u0915\u0930\u094b<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5a-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - Q5-Q8 - \u0905\u0902\u0924\u093f\u092e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;\">\u0905\u0902\u0924\u093f\u092e Q5-Q8 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q5. y=|x| Domain Range \u0917\u094d\u0930\u093e\u092b?<\/b><br>Domain \u0938\u092d\u0940 Range y\u22650 V \u0936\u0940\u0930\u094d\u0937 (0,0) \u0928\u094d\u092f\u0942\u0928\u0924\u092e 0\u0964<br><br><b>Q6. f(x)=x\u00b2-2x+5 \u0928\u094d\u092f\u0942\u0928\u0924\u092e?<\/b><br>(x-1)\u00b2+4 \u0936\u0940\u0930\u094d\u0937 (1,4) \u0928\u094d\u092f\u0942\u0928\u0924\u092e 4 -b\/2a=1\u0964<br><br><b>Q7. y=-x\u00b2+6x-9 \u0905\u0927\u093f\u0915\u0924\u092e?<\/b><br>-(x-3)\u00b2 \u0936\u0940\u0930\u094d\u0937 (3,0) \u0905\u0927\u093f\u0915\u0924\u092e 0 \u2229\u0964<br><br><b>Q8. Function \u091c\u093e\u0901\u091a: x=1 \u092a\u0930 y=2 \u0914\u0930 3?<\/b><br>Not Function \u090f\u0915 Input \u0926\u094b Output\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">Q5-Q8 |x| V y\u22650, \u0936\u0940\u0930\u094d\u0937 -b\/2a \u0928\u094d\u092f\u0942\u0928\u0924\u092e \u0905\u0927\u093f\u0915\u0924\u092e<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5a-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - Q9-Q12 - \u0905\u0902\u0924\u093f\u092e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:6px 10px;font-weight:bold;\">\u0905\u0902\u0924\u093f\u092e Q9-Q12 - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q9. \u0922\u093e\u0932 \u0928\u093f\u0915\u093e\u0932\u094b (0,2) (2,6)?<\/b><br>m=(6-2)\/(2-0)=4\/2=2 \u090a\u092a\u0930\u0964<br><br><b>Q10. y=3x+2 \u0914\u0930 y=3x-2 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930?<\/b><br>\u0939\u093e\u0901 m \u0926\u094b\u0928\u094b\u0902 3 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0915\u092d\u0940 \u0928\u0939\u0940\u0902 \u092e\u093f\u0932\u0924\u0947\u0964<br><br><b>Q11. y=x\u00b3 \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e Domain Range?<\/b><br>Domain \u0938\u092d\u0940 Range \u0938\u092d\u0940 \u0939\u092e\u0947\u0936\u093e \u092c\u0922\u093c\u0924\u093e S\u0964<br><br><b>Q12. f(x)=2x+3 g(x)=x\u00b2 f(g(1)) g(f(1))?<\/b><br>g1=1 f1=5, f(g1)=f1=5, f1=5 g5=25 g(f1)=25<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">Q9-Q12 m=(y2-y1)\/(x2-x1) \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 m \u092c\u0930\u093e\u092c\u0930, f(g) \u0905\u0902\u0926\u0930 \u0938\u0947 \u092c\u093e\u0939\u0930<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5a-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - Q13-Q16 - \u092c\u093f\u0932\u0915\u0941\u0932 \u0905\u0902\u0924\u093f\u092e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#f3e5f5;border-left:4px solid #6a1b9a;padding:6px 10px;font-weight:bold;\">\u0905\u0902\u0924\u093f\u092e Q13-Q16 - \u092c\u093f\u0932\u0915\u0941\u0932 \u0905\u0902\u0924\u093f\u092e - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q13. Vertical Line Test \u0938\u092e\u091d\u093e\u0913?<\/b><br>\u0916\u0921\u093c\u0940 \u0930\u0947\u0916\u093e \u0917\u094d\u0930\u093e\u092b \u0915\u094b \u090f\u0915 \u092c\u093e\u0930 \u0915\u093e\u091f\u0947 Function \u0926\u094b \u092c\u093e\u0930 Not, y\u00b2=x Not\u0964<br><br><b>Q14. y=1\/x \u092c\u0922\u093c\u0924\u093e \u0918\u091f\u0924\u093e?<\/b><br>x>0 \u0918\u091f\u0924\u093e x<0 \u0918\u091f\u0924\u093e, x \u092c\u0922\u093c\u0947 y \u0918\u091f\u0947 \u0926\u094b \u092d\u093e\u0917\u0964<br><br><b>Q15. f(x)=x\u00b2+1\/x\u00b2 \u092f\u0926\u093f x+1\/x=2 \u0924\u094b?<\/b><br>(x+1\/x)\u00b2=x\u00b2+1\/x\u00b2+2 =>4=x\u00b2+1\/x\u00b2+2 =>x\u00b2+1\/x\u00b2=2<br><br><b>Q16. \u0938\u093f\u0926\u094d\u0927 \u0915\u0930\u094b y=mx+c \u092e\u0947\u0902 m>0 \u092c\u0922\u093c\u0924\u093e m<0 \u0918\u091f\u0924\u093e\u0964<\/b><br>m>0 \u0924\u094b x2>x1 \u092a\u0930 y2>y1 \u090a\u092a\u0930, m<0 \u0924\u094b x2>x1 \u092a\u0930 y2<y1 \u0928\u0940\u091a\u0947, m=0 \u0924\u094b y \u092c\u0930\u093e\u092c\u0930 \u0915\u094d\u0937\u0948\u0924\u093f\u091c \u092c\u093f\u0932\u0915\u0941\u0932 \u0905\u0902\u0924\u093f\u092e\u0964<div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:8px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-weight:bold;\">Q13-Q16 \u092c\u093f\u0932\u0915\u0941\u0932 \u0905\u0902\u0924\u093f\u092e<\/div><div>Vertical \u090f\u0915 \u092c\u093e\u0930 Function<\/div><div>y=1\/x x \u092c\u0922\u093c\u0947 y \u0918\u091f\u0947<\/div><div>m>0 \u090a\u092a\u0930 m<0 \u0928\u0940\u091a\u0947 m=0 \u0915\u094d\u0937\u0948\u0924\u093f\u091c<\/div><\/div><\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"ch5a4p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"ch5a4i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-size:15px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"ch5a4n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('ch5a-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('ch5a4i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('ch5a4n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('ch5a4p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><div id=\"pg-956-5\"  class=\"panel-grid panel-no-style\" ><div id=\"pgc-956-5-0\"  class=\"panel-grid-cell\" ><div id=\"panel-956-5-0-0\" class=\"widget_text so-panel widget widget_custom_html panel-first-child panel-last-child\" data-index=\"5\" ><div class=\"textwidget custom-html-widget\"><div id=\"FILE5-CH5-MCQ\" style=\"max-width:860px;margin:12px auto;border:3.5px solid #0f5e4b;border-radius:14px;background:#e6f4f1;font-family:'Noto Sans Devanagari',Arial,sans-serif;overflow:hidden;\">\n<div style=\"background:#0a5c4b;padding:8px 10px;text-align:center;\"><span style=\"background:#fff;color:#0a3d33;padding:6px 18px;border-radius:20px;font-weight:bold;font-size:11px;\">Ch5 - \u0917\u094b-\u0917\u094b - \u092d\u093e\u0917 5\/5 - MCQ \u0905\u0917\u094d\u0928\u093f\u0935\u0940\u0930<\/span><\/div>\n\n<div style=\"padding:10px 12px;\">\n<div id=\"ch5m-1\" style=\"display:block;\"><div style=\"background:#d32f2f;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd34 \u092d\u093e\u0917 1\/4 - Q1-Q8 - Function<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#ffebee;border-left:4px solid #d32f2f;padding:6px 10px;font-weight:bold;\">Function MCQ - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q1. f(x)=2x+3 f(2)=?<\/b><br>A) 5 B) 7 C) 6 D) 8<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) 7<\/span><br><br><b>Q2. Function \u0915\u094d\u092f\u093e?<\/b><br>A) 1 Input 2 Output B) 1 Input 1 Output C) 2 Input 1 Output \u0928\u0939\u0940\u0902 D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) 1 Input 1 Output<\/span><br><br><b>Q3. y\u00b2=x Function?<\/b><br>A) \u0939\u093e\u0901 B) \u0928\u0939\u0940\u0902 C) \u0915\u092d\u0940 \u0939\u093e\u0901 D) \u092a\u0924\u093e \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) \u0928\u0939\u0940\u0902 \u0926\u094b Output<\/span><br><br><b>Q4. Vertical Line Test?<\/b><br>A) \u090f\u0915 \u092c\u093e\u0930 Function B) \u0926\u094b \u092c\u093e\u0930 Function C) \u0924\u0940\u0928 \u092c\u093e\u0930 D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans A) \u090f\u0915 \u092c\u093e\u0930 Function<\/span><br><br><b>Q5. f(x)=x\u00b2 f(3)=?<\/b><br>A) 6 B) 9 C) 3 D) 12<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) 9<\/span><br><br><b>Q6. \u0921\u094b\u092e\u0947\u0928 \u0915\u094d\u092f\u093e?<\/b><br>A) Output B) Input C) \u0926\u094b\u0928\u094b\u0902 D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) Input<\/span><br><br><b>Q7. \u0930\u0947\u0902\u091c \u0915\u094d\u092f\u093e?<\/b><br>A) Input B) Output C) \u0926\u094b\u0928\u094b\u0902 D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) Output<\/span><br><br><b>Q8. \u0917\u094b-\u0917\u094b \u0915\u094d\u092f\u093e?<\/b><br>A) Function B) \u092e\u0936\u0940\u0928 C) \u0926\u094b\u0928\u094b\u0902 D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans C) \u0926\u094b\u0928\u094b\u0902 Function \u092e\u0936\u0940\u0928<\/span><div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">1 Input 1 Output = Function Vertical \u090f\u0915 \u092c\u093e\u0930<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5m-2\" style=\"display:none;\"><div style=\"background:#1565c0;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udd35 \u092d\u093e\u0917 2\/4 - Q9-Q16 - \u0930\u0948\u0916\u093f\u0915<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e3f2fd;border-left:4px solid #1565c0;padding:6px 10px;font-weight:bold;\">\u0930\u0948\u0916\u093f\u0915 MCQ - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q9. y=mx+c m \u0915\u094d\u092f\u093e?<\/b><br>A) \u0905\u0902\u0924\u0903\u0916\u0902\u0921 B) \u0922\u093e\u0932 C) \u0917\u094d\u0930\u093e\u092b D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) \u0922\u093e\u0932<\/span><br><br><b>Q10. y=2x+3 \u0922\u093e\u0932?<\/b><br>A) 2 B) 3 C) 5 D) 1<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans A) 2<\/span><br><br><b>Q11. m>0 \u0924\u094b?<\/b><br>A) \u092c\u0922\u093c\u0924\u093e \u090a\u092a\u0930 B) \u0918\u091f\u0924\u093e \u0928\u0940\u091a\u0947 C) \u0915\u094d\u0937\u0948\u0924\u093f\u091c D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans A) \u092c\u0922\u093c\u0924\u093e \u090a\u092a\u0930<\/span><br><br><b>Q12. m<0 \u0924\u094b?<\/b><br>A) \u092c\u0922\u093c\u0924\u093e B) \u0918\u091f\u0924\u093e \u0928\u0940\u091a\u0947 C) \u0915\u094d\u0937\u0948\u0924\u093f\u091c D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) \u0918\u091f\u0924\u093e \u0928\u0940\u091a\u0947<\/span><br><br><b>Q13. y=3 \u0917\u094d\u0930\u093e\u092b?<\/b><br>A) \u0924\u093f\u0930\u091b\u0940 B) \u0915\u094d\u0937\u0948\u0924\u093f\u091c C) U D) V<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) \u0915\u094d\u0937\u0948\u0924\u093f\u091c<\/span><br><br><b>Q14. \u0922\u093e\u0932 \u0938\u0942\u0924\u094d\u0930?<\/b><br>A) (x2-x1)\/(y2-y1) B) (y2-y1)\/(x2-x1) C) x+y D) xy<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) (y2-y1)\/(x2-x1)<\/span><br><br><b>Q15. (0,1)(1,3) \u0922\u093e\u0932?<\/b><br>A) 1 B) 2 C) 3 D) 0<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) 2<\/span><br><br><b>Q16. y=-x \u0917\u094d\u0930\u093e\u092b?<\/b><br>A) \u090a\u092a\u0930 B) \u0928\u0940\u091a\u0947 C) \u0915\u094d\u0937\u0948\u0924\u093f\u091c D) U<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) \u0928\u0940\u091a\u0947 \u0918\u091f\u0924\u093e<\/span><div style=\"background:#fff9c4;border:2px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">y=mx+c m \u0922\u093e\u0932 c \u0905\u0902\u0924\u0903\u0916\u0902\u0921 m>0 \u090a\u092a\u0930 m<0 \u0928\u0940\u091a\u0947<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5m-3\" style=\"display:none;\"><div style=\"background:#2e7d32;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe2 \u092d\u093e\u0917 3\/4 - Q17-Q24 - \u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0918\u0928<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#e8f5e9;border-left:4px solid #2e7d32;padding:6px 10px;font-weight:bold;\">\u0926\u094d\u0935\u093f\u0918\u093e\u0924 \u0918\u0928 MCQ - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q17. y=x\u00b2 \u0917\u094d\u0930\u093e\u092b?<\/b><br>A) U B) \u2229 C) S D) V<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans A) U<\/span><br><br><b>Q18. y=-x\u00b2 \u0917\u094d\u0930\u093e\u092b?<\/b><br>A) U B) \u2229 C) S D) V<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) \u2229 \u0909\u0932\u094d\u091f\u093e U<\/span><br><br><b>Q19. y=x\u00b3 \u0917\u094d\u0930\u093e\u092b?<\/b><br>A) U B) S C) V D) \u0915\u094d\u0937\u0948\u0924\u093f\u091c<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) S<\/span><br><br><b>Q20. y=|x| \u0917\u094d\u0930\u093e\u092b?<\/b><br>A) U B) V C) S D) \u2229<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) V<\/span><br><br><b>Q21. y=x\u00b2 \u0936\u0940\u0930\u094d\u0937?<\/b><br>A) (0,0) B) (1,1) C) (2,4) D) (1,0)<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans A) (0,0)<\/span><br><br><b>Q22. y=x\u00b2 Range?<\/b><br>A) \u0938\u092d\u0940 B) y\u22650 C) y\u22640 D) x\u22650<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) y\u22650<\/span><br><br><b>Q23. y=x\u00b2+2x+1 \u0936\u0940\u0930\u094d\u0937?<\/b><br>A) (-1,0) B) (1,0) C) (0,0) D) (0,1)<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans A) (-1,0)<\/span><br><br><b>Q24. \u0936\u0940\u0930\u094d\u0937 \u0938\u0942\u0924\u094d\u0930?<\/b><br>A) b\/2a B) -b\/2a C) b\/a D) a\/b<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) -b\/2a<\/span><div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:6px;border-radius:8px;text-align:center;margin:6px 0;\"><span style=\"font-weight:bold;\">y=x\u00b2 U y=-x\u00b2 \u2229 y=x\u00b3 S y=|x| V \u0936\u0940\u0930\u094d\u0937 -b\/2a<\/span><\/div><\/div><\/div>\n\n<div id=\"ch5m-4\" style=\"display:none;\"><div style=\"background:#6a1b9a;color:#fff;padding:6px 14px;border-radius:20px;font-size:13px;font-weight:bold;display:inline-block;margin-bottom:8px;\">\ud83d\udfe3 \u092d\u093e\u0917 4\/4 - Q25-Q32 - \u0905\u0902\u0924\u093f\u092e<\/div><div style=\"background:#fff;border:1.5px solid #0f8a6d;border-radius:10px;padding:12px;font-size:13.5px;line-height:1.9;height:380px;overflow-y:auto;\"><div style=\"background:#f3e5f5;border-left:4px solid #6a1b9a;padding:6px 10px;font-weight:bold;\">\u0905\u0902\u0924\u093f\u092e MCQ - \u0939\u0947\u0921\u093f\u0902\u0917<\/div><b>Q25. y=1\/x Domain?<\/b><br>A) \u0938\u092d\u0940 B) x\u22600 C) x\u22650 D) y\u22600<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) x\u22600<\/span><br><br><b>Q26. \u221ax Domain?<\/b><br>A) x\u22600 B) x\u22650 C) \u0938\u092d\u0940 D) y\u22650<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) x\u22650<\/span><br><br><b>Q27. f(g(2)) \u0915\u094d\u092f\u093e? f=2x+3 g=x\u00b2?<\/b><br>A) 7 B) 11 C) 5 D) 8<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) 11 g2=4 f4=11<\/span><br><br><b>Q28. y=2x+1 \u0914\u0930 y=-x+4 \u092e\u093f\u0932\u0928\u093e?<\/b><br>A) (0,0) B) (1,3) C) (2,5) D) (1,1)<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) (1,3)<\/span><br><br><b>Q29. \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 \u0930\u0947\u0916\u093e m?<\/b><br>A) \u0905\u0932\u0917 B) \u092c\u0930\u093e\u092c\u0930 C) 0 D) 1<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) \u092c\u0930\u093e\u092c\u0930<\/span><br><br><b>Q30. y=x\u00b2 \u0928\u094d\u092f\u0942\u0928\u0924\u092e?<\/b><br>A) 1 B) 0 C) -1 D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) 0<\/span><br><br><b>Q31. y=-x\u00b2 \u0905\u0927\u093f\u0915\u0924\u092e?<\/b><br>A) 0 B) 1 C) -1 D) \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans A) 0<\/span><br><br><b>Q32. y=x\u00b2-2x+1 \u0928\u094d\u092f\u0942\u0928\u0924\u092e?<\/b><br>A) 1 B) 0 C) -1 D) 2<br><span style=\"background:#e8f5e9;padding:2px 8px;border-radius:5px;font-weight:bold;\">Ans B) 0 \u0936\u0940\u0930\u094d\u0937 (1,0)<\/span><div style=\"background:#fff9c4;border:3px solid #fbc02d;padding:8px;border-radius:10px;text-align:center;margin:6px 0;\"><div style=\"font-weight:bold;\">Trick \u0905\u0902\u0924\u093f\u092e<\/div><div>y=x\u00b2 \u0928\u094d\u092f\u0942\u0928\u0924\u092e 0 y=-x\u00b2 \u0905\u0927\u093f\u0915\u0924\u092e 0<\/div><div>1\/x x\u22600 \u221ax x\u22650<\/div><div>f(g) \u0905\u0902\u0926\u0930 \u0938\u0947 \u092c\u093e\u0939\u0930 \u0938\u092e\u093e\u0928\u093e\u0902\u0924\u0930 m \u092c\u0930\u093e\u092c\u0930<\/div><\/div><\/div><\/div>\n<\/div>\n\n<div style=\"background:#0a5c4b;padding:12px;display:flex;justify-content:space-between;align-items:center;\">\n<button type=\"button\" id=\"ch5m5p\" style=\"background:#ffcc00;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">&larr; \u092a\u0940\u091b\u0947<\/button>\n<span id=\"ch5m5i\" style=\"background:#fff;color:#0a5c4b;padding:8px 20px;border-radius:20px;font-size:15px;font-weight:bold;\">1 \/ 4<\/span>\n<button type=\"button\" id=\"ch5m5n\" style=\"background:#00e676;color:#000;border:3px solid #fff;border-radius:30px;padding:10px 22px;font-weight:bold;font-size:15px;cursor:pointer;min-width:100px;\">\u0906\u0917\u0947 &rarr;<\/button>\n<\/div>\n<\/div>\n\n<script>\n(function(){\nvar c=1,t=4;\nfunction s(n){\nfor(var i=1;i<=t;i++){\nvar el=document.getElementById('ch5m-'+i);\nif(el)el.style.display=(i===n?'block':'none');\n}\ndocument.getElementById('ch5m5i').textContent=n+' \/ '+t;\nc=n;\n}\ndocument.getElementById('ch5m5n').onclick=function(){var n=c+1;if(n>t)n=1;s(n);};\ndocument.getElementById('ch5m5p').onclick=function(){var n=c-1;if(n<1)n=t;s(n);};\n})();\n<\/script><\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>Ch5 &#8211; \u092e\u0948\u0902 \u0939\u0942\u0901 \u0917\u094b-\u0917\u094b, \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 &#8211; \u092d\u093e\u0917 1\/4 &#8211; \u092a\u0930\u093f\u091a\u092f &#8211; Functions \ud83d\udd34 \u092d\u093e\u0917 1\/4 &#8211; \u0917\u094b-\u0917\u094b \u0915\u094d\u092f\u093e? \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 \u0915\u094d\u092f\u093e?\u0917\u094b-\u0917\u094b \u0915\u094c\u0928? &#8211; \u0939\u0947\u0921\u093f\u0902\u0917\u0917\u094b-\u0917\u094b \u090f\u0915 \u092e\u0936\u0940\u0928 \u0939\u0948\u0964 \u090f\u0915 \u0924\u0930\u092b \u0938\u0947 \u0938\u0902\u0916\u094d\u092f\u093e \u0921\u093e\u0932\u094b \u0926\u0942\u0938\u0930\u0940 \u0924\u0930\u092b \u0938\u0947 \u0928\u0908 \u0938\u0902\u0916\u094d\u092f\u093e \u0928\u093f\u0915\u0932\u0924\u0940 \u0939\u0948\u0964 \u0921\u093e\u0932\u094b 2 \u0928\u093f\u0915\u0932\u0947\u0917\u093e 4, \u0921\u093e\u0932\u094b 3 \u0928\u093f\u0915\u0932\u0947\u0917\u093e 6\u0964 \u092f\u0939 \u092e\u0936\u0940\u0928 \u0928\u093f\u092f\u092e \u0938\u0947 \u091a\u0932\u0924\u0940 \u0939\u0948\u0964Input \u2192 [ [&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-956","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; *5* | \u092e\u0948\u0902 \u0939\u0942\u0901 \u0917\u094b-\u0917\u094b, \u090a\u092a\u0930-\u0928\u0940\u091a\u0947 | I am Go-Go, Up and Down \u2014 Introduction to Functions \/ Graphs &#187; Class-9th - Agniveer Foundation Hub | Pargai Defence &amp; Academic.<\/title>\n<meta name=\"description\" content=\"Class 9 Online Classes in Bageshwar with NCERT Textbook based study material, chapter-wise learning, MCQs, assignments and Agniveer Foundation. 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