{"id":625588,"date":"2023-09-07T08:33:34","date_gmt":"2023-09-07T08:33:34","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=625588"},"modified":"2023-09-07T08:34:53","modified_gmt":"2023-09-07T08:34:53","slug":"kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/","title":{"rendered":"KC Sinha: Exercise 3.1 &#8211; Mathematics Solution Class 9 Chapter 3 \u092c\u0939\u0941\u092a\u0926"},"content":{"rendered":"\n\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-1\">Question 1<\/h4>\n\n\n\n<p>\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u094d\u092f\u0902\u091c\u0915\u094b \u092e\u0947 \u0915\u094c\u0928-\u0915\u094c\u0928 \u092c\u0939\u0941\u092a\u0926 \u0939\u0948 \u0914\u0930 \u0915\u094c\u0928-\u0915\u094c\u0928 \u0928\u0939\u0940 \u0939\u0948 \u0964 \u0915\u093e\u0930\u0923 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092a\u0928\u0947 \u0909\u0924\u094d\u0924\u0930 \u0926\u0940\u091c\u093f\u090f:<br><strong>(i) 4x<sup>2<\/sup>-3x+7<\/strong><br>Sol:<br>\u21d24x<sup>2<\/sup>-3x<sup>1<\/sup>+7x<sup>0<\/sup><br>\u0939\u093e\u0901 , \u090f\u0915 \u091a\u0930 x \u0939\u0948\u0902<\/p>\n\n\n\n<p><strong>(ii) $\\sqrt{3}x^2+5x-2$<\/strong><br>Sol :<br>\u21d2$\\sqrt{3}x^2+5x^1-2x^0$<\/p>\n\n\n\n<p><strong>(iii) 3\u221at + t\u221a2<\/strong><br>Sol :<br>\u21d2$3t^{\\frac{1}{2}}+t^1\\sqrt{2}$<\/p>\n\n\n\n<p>\u0928\u0939\u0940, t \u0915\u093e \u0918\u093e\u0924 \u090f\u0915 \u0905\u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0915 \u0928\u0939\u0940 \u0939\u0948 \u0964<\/p>\n\n\n\n<p><strong>(iv) $y+\\dfrac{1}{y^2}+3$<\/strong><br>Sol :<br>\u21d2y<sup>1<\/sup>+y<sup>-2<\/sup>+3y<sup>0<\/sup><\/p>\n\n\n\n<p>\u0928\u0939\u0940\u0902<\/p>\n\n\n\n<p><strong>(v) x<sup>10<\/sup>+y<sup>3<\/sup>+t<sup>50<\/sup><\/strong><br>Sol :<\/p>\n\n\n\n<p>\u0928\u0939\u0940\u0902 x,y \u0924\u0925\u093e t \u0905\u091a\u0930 \u092e\u094c\u091c\u0941\u0926 \u0939\u0948 \u0964<\/p>\n\n\n\n<p><strong>(vi) 2x<sup>10<\/sup>+y<sup>5<\/sup>+z<\/strong><br>Sol :<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-2\">Question 2<\/h4>\n\n\n\n<p>\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947&nbsp;x<sup>2&nbsp;<\/sup>\u0915\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0932\u093f\u0916\u093f\u090f:<br><strong>(i) 2x<sup>3<\/sup>+x<sup>2<\/sup>+x<\/strong><\/p>\n\n\n\n<p><strong>Sol :&nbsp;<\/strong>1<\/p>\n\n\n\n<p><strong>Sol :&nbsp;<\/strong>-7<\/p>\n\n\n\n<p><strong>(iii) $\\dfrac{\\pi}{2}x^3+x-1$<\/strong><\/p>\n\n\n\n<p>Sol : 0<\/p>\n\n\n\n<p><strong>(iv)<\/strong> $\\sqrt{2}$x-1<br>Sol : 0<\/p>\n\n\n\n<p><strong>(v)<\/strong> (x-1)(x+1)<br>Sol : 1<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-3\">Question 3<\/h4>\n\n\n\n<p>\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092c\u0939\u0941\u092a\u0926\u094b \u092e\u0947 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092e\u0947 \u092c\u0939\u0941\u092a\u0926 \u0915\u093e \u0918\u093e\u0924 \u0932\u093f\u0916\u093f\u090f:<br><strong>(i) 5x<sup>4<\/sup>+4x<sup>3<\/sup>+10<\/strong><br>Sol: 4<\/p>\n\n\n\n<p><strong>(ii) 4-4y<sup>2<\/sup>+5y+2<\/strong><br>Sol: 2<\/p>\n\n\n\n<p><strong>(iii) t<sup>3<\/sup>-5<\/strong><br>Sol: 3<\/p>\n\n\n\n<p><strong>(iv) 20<\/strong><br>Sol: 0<\/p>\n\n\n\n<p><strong>(v) z<sup>5<\/sup>-2z<sup>7<\/sup>+5<\/strong><br>Sol: 7<\/p>\n\n\n\n<p><strong>(vii) x<sup>7<\/sup>-2x+1<\/strong><br>Sol: 7<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-4\">Question 4<\/h4>\n\n\n\n<p><strong>(i)<\/strong> 25 \u0918\u093e\u0924 \u0915\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u0915\u093e \u0914\u0930 200 \u0918\u093e\u0924 \u0915\u0947 \u090f\u0915\u092a\u0926\u0940 \u0915\u093e \u090f\u0915-\u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u0940\u091c\u093f\u090f \u0964<br>Sol :<br>x<sup>25<\/sup>+1 , x<sup>200<\/sup><\/p>\n\n\n\n<p><strong>(ii)<\/strong> 37 \u0918\u093e\u0924 \u0915\u0947 \u0924\u094d\u0930\u093f\u092a\u0926 \u0915\u093e \u0914\u0931 50 \u0918\u093e\u0924 \u0915\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u0915\u093e \u090f\u0915-\u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u0940\u091c\u093f\u090f \u0964<br>Sol :<br>2x<sup>37<\/sup>+2x-9 , y<sup>50<\/sup>-7y<\/p>\n\n\n\n<p><strong>(iii)<\/strong> 20 \u0918\u093e\u0924 \u0915\u0947 \u0926\u094d\u0935\u093f\u092a\u0926 \u0924\u0925\u093e 10 \u0918\u093e\u0924 \u0915\u0947 \u090f\u0915\u092a\u0926\u0940 \u0915\u093e \u090f\u0915-\u090f\u0915 \u0909\u0926\u093e\u0939\u0930\u0923 \u0926\u0940\u091c\u093f\u090f \u0964<br>Sol :<br>x<sup>20&nbsp;<\/sup>, y<sup>10<\/sup><\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-5\">Question 5<\/h4>\n\n\n\n<p>\u092c\u0924\u093e\u0907\u090f \u0915\u093f \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092c\u0939\u0941\u092a\u0926 \u092e\u0947 \u0915\u094c\u0928 \u090f\u0915\u092a\u0926\u0940 \u0939\u0948 ,&nbsp; \u0915\u094c\u0928 \u0926\u094d\u0935\u093f\u092a\u0926\u0940 \u0939\u0948 \u0924\u0925\u093e \u0915\u094c\u0928 \u0924\u094d\u0930\u093f\u092a\u0926\u0940 , \u0915\u093e\u0930\u0923 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092a\u0928\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947 \u0964<br><strong>(i)<\/strong> x<sup>2<\/sup>-x<br>Sol :<br>\u0926\u094d\u0935\u093f\u092a\u0926\u0940 , 2 \u092a\u0926\u0940 \u092e\u094c\u091c\u0941\u0926 \u0939\u0948 \u0964<\/p>\n\n\n\n<p><strong>(ii)<\/strong> 3<br>Sol :<br>\u090f\u0915\u092a\u0926\u0940 , 1 \u092a\u0926 \u092e\u094c\u091c\u0941\u0926 \u0939\u0948 \u0964<\/p>\n\n\n\n<p><strong>(iii)<\/strong> 3x<sup>2<\/sup>-5<br>Sol :<br>\u0926\u094d\u0935\u093f\u092a\u0926\u0940<\/p>\n\n\n\n<p><strong>(iv)<\/strong> 5x<sup>2<\/sup>+6x+2<br>Sol :<br>\u0924\u094d\u0930\u093f\u092a\u0926\u0940<\/p>\n\n\n\n<p><strong>(v)<\/strong> 2x<br>Sol :<br>\u090f\u0915\u092a\u0926\u0940<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-6\">Question 6<\/h4>\n\n\n\n<p>\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092a\u0930 \u092c\u0939\u0941\u092a\u0926 5x<sup>2<\/sup>-2x+3 \u0915\u0947 \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<br><strong>(i)<\/strong> x=0<br>Sol :<br>P(x)=5x<sup>2<\/sup>-2x+3<br>P(0)=5(0)<sup>2<\/sup>-2(0)+3<br>=0-0+3<br>=3<\/p>\n\n\n\n<p><strong>(ii)<\/strong> x=1<br>Sol :<br>P(x)=5x<sup>2<\/sup>-2x+3<br>P(1)=5(1)<sup>2<\/sup>-2(1)+3<\/p>\n\n\n\n<p>=5-2+3<\/p>\n\n\n\n<p>=6<\/p>\n\n\n\n<p><strong>(iii)<\/strong> x=-3<br>Sol :<br>P(x)=5x<sup>2<\/sup>-2x+3<br>P(-3)=5(-3)<sup>2<\/sup>-2(-3)+3<\/p>\n\n\n\n<p>=5\u00d79+6+3<\/p>\n\n\n\n<p>=45+9<\/p>\n\n\n\n<p>=54<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-7\">Question 7<\/h4>\n\n\n\n<p>\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092c\u0939\u0941\u092a\u0926\u094b \u092e\u0947 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u092c\u0939\u0941\u092a\u0926 \u0915\u0947 \u0932\u093f\u090f p(0),p(1), \u0914\u0930 p(2) \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964<\/p>\n\n\n\n<p><strong>(i)<\/strong> p(y)=y<sup>2<\/sup>+y+2<\/p>\n\n\n\n<p>Sol :<br>p(y)=y<sup>2<\/sup>+y+2<\/p>\n\n\n\n<p>y=0 \u092a\u0930,<br>p(0)=(0)<sup>2<\/sup>+(0)+2<br>=2<\/p>\n\n\n\n<p>y=1 \u092a\u0930,<br>p(1)=(1)<sup>2<\/sup>+(1)+2<\/p>\n\n\n\n<p>=4<\/p>\n\n\n\n<p>y=2 \u092a\u0930,<\/p>\n\n\n\n<p>p(2)=(2)<sup>2<\/sup>+(2)+2<\/p>\n\n\n\n<p>=8<\/p>\n\n\n\n<p><strong>(ii)<\/strong>&nbsp;p(t)=5+t+2t<sup>2<\/sup>-t<sup>4<\/sup><\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p><strong>(iii)<\/strong>&nbsp;p(x)=x<sup>5<\/sup><\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p><strong>(iv)<\/strong>&nbsp;p(x)=(x-2)(x+2)<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p>p(x)=(x-2)(x+2)<\/p>\n\n\n\n<p>x=0 \u092a\u0930,<br>p(0)=(0-2)(0+2)<br>=-2\u00d72<br>=-4<\/p>\n\n\n\n<p>x=1 \u092a\u0930,<br>p(1)=(1-2)(1+2)<\/p>\n\n\n\n<p>=-1\u00d73<br>=-3<\/p>\n\n\n\n<p>x=2 \u092a\u0930,<br>p(2)=(2-2)(2+2)<\/p>\n\n\n\n<p>=0\u00d74<br>=0<\/p>\n\n\n\n<p><strong>(v)<\/strong>&nbsp;p(x)=2x<sup>3<\/sup>+3x<sup>2<\/sup>-1<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<p><strong>(vi)<\/strong>&nbsp;p(t)=t<sup>4<\/sup>-t<sup>2<\/sup>+3<\/p>\n\n\n\n<p>Sol :<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-8\">Question 8<\/h4>\n\n\n\n<p>\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947 \u092c\u0939\u0941\u092a\u0926 p(x) \u0915\u093e \u092e\u093e\u0928 a \u092a\u0930 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u091c\u092c<br><strong>(i)<\/strong> p(x)=3x<sup>2<\/sup>+8x+4 \u0924\u0925\u093e a=-2<br>Sol :<br>p(x)=3x<sup>2<\/sup>+8x+4<br>p(a)=3a<sup>2<\/sup>+8a+4<\/p>\n\n\n\n<p>a=-2 \u092a\u0930,<br>p(-2)=3(-2)<sup>2<\/sup>+8(-2)+4<br>=12-16+4<br>=16-16<br>=0<\/p>\n\n\n\n<p><strong>(ii)<\/strong> p(x)=x<sup>2<\/sup>+x-6 \u0924\u0925\u093e a=-3<br>Sol :<\/p>\n\n\n\n<p><strong>(iii)<\/strong> p(x)=x<sup>3<\/sup>-2x+2 \u0924\u0925\u093e a=-1<br>Sol :<\/p>\n\n\n\n<p><strong>(iv)<\/strong> p(x)=x<sup>3<\/sup>+3x<sup>2<\/sup>+x-1 \u0924\u0925\u093e a=-1<br>Sol :<br>p(x)=x<sup>3<\/sup>+3x<sup>2<\/sup>+x-1<br>p(a)=a<sup>3<\/sup>+3a<sup>2<\/sup>+a-1<\/p>\n\n\n\n<p>a=-1 \u092a\u0930,<br>p(-1)=(-1)<sup>3<\/sup>+3(-1)<sup>2<\/sup>+(-1)-1<br>=-1+3-1-1<br>=-3+3<br>=0<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-9\">Question 9<\/h4>\n\n\n\n<p>\u092f\u0926\u093f p(x)=x<sup>2<\/sup>-5x+4 \u0924\u0925\u093e q(x)=x<sup>3<\/sup>+1 \u0924\u094b \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0915\u0947 \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947 \u0964<br><strong>(i)<\/strong> p(1)\u00d7q(1)<br>Sol :<br>p(x)=x<sup>2<\/sup>-5x+4<\/p>\n\n\n\n<p>x=1 \u092a\u0930,<br>p(1)=1<sup>2<\/sup>-5+4<br>=1-5+4<br>=0<\/p>\n\n\n\n<p>q(x)=x<sup>3<\/sup>+1<\/p>\n\n\n\n<p>x=1 \u092a\u0930,<br>q(1)=(1)<sup>3<\/sup>+1<br>=2<\/p>\n\n\n\n<p>=p(1)\u00d7q(1)<br>=0\u00d72<br>=0<\/p>\n\n\n\n<p><strong>(ii)<\/strong>&nbsp;$\\frac{p(1)}{q(1)}$<br>Sol :<br>p(x)=x<sup>2<\/sup>-5x+4<\/p>\n\n\n\n<p>x=1 \u092a\u0930,<br>p(1)=1<sup>2<\/sup>-5+4<br>=1-5+4<br>=0<\/p>\n\n\n\n<p>q(x)=x<sup>3<\/sup>+1<\/p>\n\n\n\n<p>x=1 \u092a\u0930,<br>q(1)=(1)<sup>3<\/sup>+1<br>=2<\/p>\n\n\n\n<p>$\\frac{p(1)}{q(1)}=\\frac{0}{2}=0$<\/p>\n\n\n\n<p><strong>(iii)<\/strong>&nbsp;p(2)+q(2)<br>Sol :<br>p(x)=x<sup>2<\/sup>-5x+4<\/p>\n\n\n\n<p>x=2 \u092a\u0930,<\/p>\n\n\n\n<p>p(2)=(2)<sup>2<\/sup>-5(2)+4<br>=4-10+4<br>=-2<\/p>\n\n\n\n<p>q(x)=x<sup>3<\/sup>+1<br>x=2 \u092a\u0930,<br>q(x)=(2)<sup>3<\/sup>+1=9<\/p>\n\n\n\n<p>=p(2)+q(2)<br>=-2+9<br>=7<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-10\">Question 10<\/h4>\n\n\n\n<p>\u0938\u0924\u094d\u092f\u093e\u092a\u093f\u0924 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0926\u093f\u0916\u093e\u090f \u0917\u090f \u092e\u093e\u0928 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u094d\u0925\u093f\u0924\u093f\u092f\u094b \u092e\u0947\u0902 \u0938\u0902\u0917\u0924 \u092c\u0939\u0941\u092a\u0926 \u0915\u0947 \u0936\u0942\u0928\u094d\u092f\u0915 \u0939\u0948 \u0964<br><strong>(i)<\/strong> p(x)=3x+1; $x=-\\frac{1}{3}$<br>Sol :<br>p(x)=3x+1 ; $x=-\\frac{1}{3}$<\/p>\n\n\n\n<p>$x=-\\frac{1}{3}$ \u092a\u0930,<\/p>\n\n\n\n<p>$P\\left(-\\frac{1}{3}\\right)=3\\left(-\\frac{1}{3}\\right)+1$<br>=0<\/p>\n\n\n\n<p>$x=-\\frac{1}{3}$ , p(x) \u0915\u093e \u0936\u0942\u0928\u094d\u092f\u0902\u0915 \u0939\u0948 \u0964<\/p>\n\n\n\n<p><strong>(ii)<\/strong> p(x)=x<sup>2<\/sup>-1; -1<br>Sol :<br>p(x)=x<sup>2<\/sup>-1; x=1,-1<\/p>\n\n\n\n<p>x=1 \u092a\u0930,<br>p(1)=(1)<sup>2<\/sup>-1=0<\/p>\n\n\n\n<p>x=-1 \u092a\u0930,<br>p(-1)=(-1)<sup>2<\/sup>-1<br>=1-1=0<\/p>\n\n\n\n<p>\u2234x=1,-1 , p(x) \u0915\u093e \u0936\u0942\u0928\u094d\u092f\u0915 \u0939\u0948 \u0964<\/p>\n\n\n\n<p><strong>(iii)<\/strong> p(x)=x<sup>2<\/sup>; x=0<br>Sol :<\/p>\n\n\n\n<p><strong>(iv)<\/strong>&nbsp;p(x)=px+q;$x=-\\frac{q}{p}$<br>Sol :<br>$x=-\\frac{q}{p}$ \u092a\u0930<\/p>\n\n\n\n<p>$p\\left(-\\frac{q}{p}\\right)=p\\left(\\frac{-q}{-p}\\right)+q$<br>=-q+q<br>=0<\/p>\n\n\n\n<p>\u2234$=x=-\\frac{q}{p}$ , \u092c\u0939\u0941\u092a\u0926 p(x)=-q+q \u0915\u093e \u0936\u0942\u0928\u094d\u092f\u0915 \u0939\u0948 \u0964<\/p>\n\n\n\n<p><strong>(v)<\/strong>&nbsp;p(x)=4x<sup>2<\/sup>;x=0<\/p>\n\n\n\n<p><strong>(vi)<\/strong>&nbsp;p(y)=y<sup>2<\/sup>-5y+4; 1,4<\/p>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"h-question-11\">Question 11<\/h4>\n\n\n\n<p>\u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0938\u094d\u0925\u093f\u0924\u0940\u092f\u094b \u092e\u0947 \u0938\u0947 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947 \u092c\u0939\u0941\u092a\u0926 \u0915\u093e \u0936\u0942\u0928\u094d\u092f\u0915 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f:<br><strong>(i)<\/strong> p(x)=x+5<br>Sol :<br>p(x)=x+5<br>p(x)=0<br>x+5=0<br>x=-5<\/p>\n\n\n\n<p><strong>(ii)<\/strong> p(x)=2x-5<br>Sol :<br>\u2234p(x)=0<br>2x-5=0<br>2x=5<br>$x=\\frac{5}{2}$<\/p>\n\n\n\n<p><strong>(iii)<\/strong> p(x)=2x-5<br>Sol :<\/p>\n\n\n\n<p><strong>(iv)<\/strong> p(x)=3x-6<br>Sol :<\/p>\n\n\n\n<p><strong>(v)<\/strong> p(x)=5x<br>Sol :<br>p(x)=0<br>5x=0<br>$x=\\frac{0}{5}$<br>x=0<\/p>\n\n\n\n<p><strong>(vi)<\/strong> p(x)=(x+1)<br>Sol :<\/p>\n\n\n\n<p><strong>(vii)<\/strong> p(x)=px+q; p\u22600 , p,q \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0938\u0902\u0916\u094d\u092f\u093e\u090f\u0901 \u0939\u0948 \u0964<br>Sol :<br>\u2234p(x)=0<br>px+q=0<br>px=-q<br>$x=-\\frac{q}{p}$<\/p>\n\n\n\n<p> <div class=\"wp-block-buttons\"> <div class=\"wp-block-button\"><a class=\"wp-block-button__link has-primary-background-color has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/kc-sinha-solutions\/\">KC Sinha Solutions<\/a><\/div>   <div class=\"wp-block-button\"><a class=\"wp-block-button__link has-primary-background-color has-background wp-element-button\" href=\"https:\/\/www.indcareer.com\/schools\/kc-sinha-solution-for-class-9-hindi\/\">KC Sinha Class 9 Solutions<\/a><\/div> <\/div> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Question 1 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u094d\u092f\u0902\u091c\u0915\u094b \u092e\u0947 \u0915\u094c\u0928-\u0915\u094c\u0928 \u092c\u0939\u0941\u092a\u0926 \u0939\u0948 \u0914\u0930 \u0915\u094c\u0928-\u0915\u094c\u0928 \u0928\u0939\u0940 \u0939\u0948 \u0964 \u0915\u093e\u0930\u0923 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092a\u0928\u0947 \u0909\u0924\u094d\u0924\u0930 \u0926\u0940\u091c\u093f\u090f:(i) 4&#215;2-3x+7Sol:\u21d24&#215;2-3&#215;1+7&#215;0\u0939\u093e\u0901 , \u090f\u0915 \u091a\u0930 x \u0939\u0948\u0902 (ii) $\\sqrt{3}x^2+5x-2$Sol :\u21d2$\\sqrt{3}x^2+5x^1-2x^0$ (iii) 3\u221at + t\u221a2Sol :\u21d2$3t^{\\frac{1}{2}}+t^1\\sqrt{2}$ \u0928\u0939\u0940, t \u0915\u093e \u0918\u093e\u0924 \u090f\u0915 \u0905\u090b\u0923\u093e\u0924\u094d\u092e\u0915 \u092a\u0942\u0930\u094d\u0923\u093e\u0915 \u0928\u0939\u0940 \u0939\u0948 \u0964 (iv) $y+\\dfrac{1}{y^2}+3$Sol :\u21d2y1+y-2+3y0 \u0928\u0939\u0940\u0902 (v) x10+y3+t50Sol : \u0928\u0939\u0940\u0902 x,y \u0924\u0925\u093e t \u0905\u091a\u0930 [&hellip;]<\/p>\n","protected":false},"author":302,"featured_media":625590,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"newspack_featured_image_position":"","newspack_post_subtitle":"","newspack_article_summary_title":"Overview:","newspack_article_summary":"","newspack_hide_updated_date":false,"newspack_show_updated_date":false,"footnotes":""},"categories":[921],"tags":[],"boards":[],"class_list":["post-625588","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-9","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.0 (Yoast SEO v27.1.1) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>KC Sinha: Exercise 3.1 - Mathematics Solution Class 9 Chapter 3 \u092c\u0939\u0941\u092a\u0926 - IndCareer Schools<\/title>\n<meta name=\"description\" content=\"Question 1 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u094d\u092f\u0902\u091c\u0915\u094b \u092e\u0947 \u0915\u094c\u0928-\u0915\u094c\u0928 \u092c\u0939\u0941\u092a\u0926 \u0939\u0948 \u0914\u0930 \u0915\u094c\u0928-\u0915\u094c\u0928 \u0928\u0939\u0940 \u0939\u0948 \u0964 \u0915\u093e\u0930\u0923 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092a\u0928\u0947 \u0909\u0924\u094d\u0924\u0930 \u0926\u0940\u091c\u093f\u090f:(i) 4x2-3x+7Sol:\u21d24x2-3x1+7x0\u0939\u093e\u0901 , \u090f\u0915 \u091a\u0930 x \u0939\u0948\u0902 (ii)\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"KC Sinha: Exercise 3.1 - Mathematics Solution Class 9 Chapter 3 \u092c\u0939\u0941\u092a\u0926\" \/>\n<meta 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\u092c\u0939\u0941\u092a\u0926\",\"datePublished\":\"2023-09-07T08:33:34+00:00\",\"dateModified\":\"2023-09-07T08:34:53+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/\"},\"wordCount\":615,\"publisher\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-5-scaled.jpg\",\"articleSection\":[\"class 9\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/\",\"url\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/\",\"name\":\"KC Sinha: Exercise 3.1 - Mathematics Solution Class 9 Chapter 3 \u092c\u0939\u0941\u092a\u0926 - IndCareer Schools\",\"isPartOf\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-5-scaled.jpg\",\"datePublished\":\"2023-09-07T08:33:34+00:00\",\"dateModified\":\"2023-09-07T08:34:53+00:00\",\"description\":\"Question 1 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u094d\u092f\u0902\u091c\u0915\u094b \u092e\u0947 \u0915\u094c\u0928-\u0915\u094c\u0928 \u092c\u0939\u0941\u092a\u0926 \u0939\u0948 \u0914\u0930 \u0915\u094c\u0928-\u0915\u094c\u0928 \u0928\u0939\u0940 \u0939\u0948 \u0964 \u0915\u093e\u0930\u0923 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092a\u0928\u0947 \u0909\u0924\u094d\u0924\u0930 \u0926\u0940\u091c\u093f\u090f:(i) 4x2-3x+7Sol:\u21d24x2-3x1+7x0\u0939\u093e\u0901 , \u090f\u0915 \u091a\u0930 x \u0939\u0948\u0902 (ii)\",\"breadcrumb\":{\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/#primaryimage\",\"url\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-5-scaled.jpg\",\"contentUrl\":\"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-5-scaled.jpg\",\"width\":1600,\"height\":901,\"caption\":\"KC Sinha: Exercise 3.1 - Mathematics Solution Class 9 Chapter 3 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(ii)","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/","og_locale":"en_US","og_type":"article","og_title":"KC Sinha: Exercise 3.1 - Mathematics Solution Class 9 Chapter 3 \u092c\u0939\u0941\u092a\u0926","og_description":"Question 1 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0935\u094d\u092f\u0902\u091c\u0915\u094b \u092e\u0947 \u0915\u094c\u0928-\u0915\u094c\u0928 \u092c\u0939\u0941\u092a\u0926 \u0939\u0948 \u0914\u0930 \u0915\u094c\u0928-\u0915\u094c\u0928 \u0928\u0939\u0940 \u0939\u0948 \u0964 \u0915\u093e\u0930\u0923 \u0915\u0947 \u0938\u093e\u0925 \u0905\u092a\u0928\u0947 \u0909\u0924\u094d\u0924\u0930 \u0926\u0940\u091c\u093f\u090f:(i) 4x2-3x+7Sol:\u21d24x2-3x1+7x0\u0939\u093e\u0901 , \u090f\u0915 \u091a\u0930 x \u0939\u0948\u0902 (ii)","og_url":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/","og_site_name":"IndCareer Schools","article_publisher":"https:\/\/www.facebook.com\/indcareer","article_published_time":"2023-09-07T08:33:34+00:00","article_modified_time":"2023-09-07T08:34:53+00:00","og_image":[{"width":1600,"height":901,"url":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-5-scaled.jpg","type":"image\/jpeg"}],"author":"Pooja","twitter_card":"summary_large_image","twitter_creator":"@indcareer","twitter_site":"@indcareer","twitter_misc":{"Written by":"Pooja","Est. reading time":"4 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\u0905\u092a\u0928\u0947 \u0909\u0924\u094d\u0924\u0930 \u0926\u0940\u091c\u093f\u090f:(i) 4x2-3x+7Sol:\u21d24x2-3x1+7x0\u0939\u093e\u0901 , \u090f\u0915 \u091a\u0930 x \u0939\u0948\u0902 (ii)","breadcrumb":{"@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.indcareer.com\/schools\/kc-sinha-exercise-3-1-mathematics-solution-class-9-chapter-3-bahupad\/#primaryimage","url":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-5-scaled.jpg","contentUrl":"https:\/\/www.indcareer.com\/schools\/wp-content\/uploads\/2023\/09\/indcareer-schools-2-5-scaled.jpg","width":1600,"height":901,"caption":"KC Sinha: Exercise 3.1 - Mathematics 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