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First Year Math Quadratic Equations


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Q.20Ifapolynomialx22x+2isdividedbyx1thenremainderis(a)1(b)1(c)0(d)2Q.20 If a polynomial x^{2}-2 x+2 is divided by x-1 then remainder is(a) 1(b) -1 (c) 0(d) 2

Solve the following equations.4. \sqrt{3 x+100}-x=4
Solve the following equations.4.  \sqrt{3 x+100}-x=4

Solvethefollowingequations.4.3x+100x=4Solve the following equations.4. \sqrt{3 x+100}-x=4

4. Solve by using synthetic division if(ii) 3 is the root of the equation 2 x^{3}-3 x^{2}-11 x+6=0
4. Solve by using synthetic division if(ii) 3 is the root of the equation  2 x^{3}-3 x^{2}-11 x+6=0

4.Solvebyusingsyntheticdivisionif(ii)3istherootoftheequation2x33x211x+6=04. Solve by using synthetic division if(ii) 3 is the root of the equation 2 x^{3}-3 x^{2}-11 x+6=0

1. Write the following ratic equations in the standard form and point out pure ratic equations.(vi) \frac{x+1}{x+2}+\frac{x+2}{x+3}=\frac{25}{12}
1. Write the following ratic equations in the standard form and point out pure ratic equations.(vi)  \frac{x+1}{x+2}+\frac{x+2}{x+3}=\frac{25}{12}

1.Writethefollowingraticequationsinthestandardformandpointoutpureraticequations.(vi)x+1x+2+x+2x+3=25121. Write the following ratic equations in the standard form and point out pure ratic equations.(vi) \frac{x+1}{x+2}+\frac{x+2}{x+3}=\frac{25}{12}

Q.33 Roots of ratic equation a x^{2}+b x+c=0 are imaginary and unequal if :(a) b^{2}-4 a c=0 (b) b^{2}-4 a c>0 (c) b^{2}-4 a c<0 (d) b^{2}-4 a c \geq 0
Q.33 Roots of ratic equation  a x^{2}+b x+c=0  are imaginary and unequal if :(a)  b^{2}-4 a c=0 (b)  b^{2}-4 a c>0 (c)  b^{2}-4 a c<0 (d)  b^{2}-4 a c \geq 0

Q.33Rootsofraticequationax2+bx+c=0areimaginaryandunequalif:(a)b24ac=0(b)b24ac>0(c)b24ac<0(d)b24ac0Q.33 Roots of ratic equation a x^{2}+b x+c=0 are imaginary and unequal if :(a) b^{2}-4 a c=0 (b) b^{2}-4 a c>0 (c) b^{2}-4 a c<0 (d) b^{2}-4 a c \geq 0

Q.13 Roots of ratic equation 2 x^{2}+3 x+1=0 are :(a) \frac{1}{2}-1 (b) -\frac{1}{2} 1 (c) -\frac{1}{2}-1 (d) 1-1 Faisalabad Board 2013
Q.13 Roots of ratic equation  2 x^{2}+3 x+1=0  are :(a)  \frac{1}{2}-1 (b)  -\frac{1}{2} 1 (c)  -\frac{1}{2}-1 (d)  1-1 Faisalabad Board 2013

Q.13Rootsofraticequation2x2+3x+1=0are:(a)121(b)121(c)121(d)11FaisalabadBoard2013Q.13 Roots of ratic equation 2 x^{2}+3 x+1=0 are :(a) \frac{1}{2}-1 (b) -\frac{1}{2} 1 (c) -\frac{1}{2}-1 (d) 1-1 Faisalabad Board 2013

Q.42 If the sum of the roots of the equation a x^{2}-2 x+2 a=0 is equal to their product then the value of a is :(a) 1(b) 2(c) 3(d) 4
Q.42 If the sum of the roots of the equation  a x^{2}-2 x+2 a=0  is equal to their product then the value of  a  is :(a) 1(b) 2(c) 3(d) 4

Q.42Ifthesumoftherootsoftheequationax22x+2a=0isequaltotheirproductthenthevalueofais:(a)1(b)2(c)3(d)4Q.42 If the sum of the roots of the equation a x^{2}-2 x+2 a=0 is equal to their product then the value of a is :(a) 1(b) 2(c) 3(d) 4

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