Question

1.Which of the following quadratic equation has the discriminant zero?

Option

1) x2+4x+2=0       

2) x2+4x+4=0       

3) 2x2+4x-2=0      

4) 2x2-4x-2=0

Question

2.The sum of the roots of the equation 3x2-7=0 is

Option

1) 0    2) 7/3         3) -7/3        4) 3/7

Question

3.If sinα and cosα are the roots of px2+qx+r=0, (p ≠ 0) , then the relationship among p,q and r is

Option

1) q2-p2=2pr          2) p2-q2=2pr          3) p2-r2=2qr          4) p2+q2=2qr

Question

4.If p and q are the roots of x2+px+q=0 then

Option

1) p=1         2) p = 1or 0           3) p=-2        4) p=-2 or 0

Question

5.The roots of the equation [math]x^{\sqrt x}=\left(\sqrt x\right)^x[/math] are

Option

1) 0 and 1  

2) 0 and 4  

3) 1 and 4

4) 0, 1 and 4

Question

6.If  [math]\left(7+4\sqrt3\right)^{x^2-8}+\left(7-4\sqrt3\right)^{x^2-8}=14[/math] then the value of x is

Option

1) [math]\sqrt7[/math]

2) 3

3) [math]-\sqrt7[/math]

4) –3

Question

7.The roots of the quadratic equation 2x2-3x+5=0 are

Option

1) discriminant     2) Not real   3) Imaginary         4) Real

Question

1.The roots of the equation x2+5x+1=0  are

Option

1)[math] \frac{5+\sqrt{21}}{2},\frac{5-\sqrt{21}}{2}[/math]

2) [math] \frac{-5\pm\sqrt{21}}{2}[/math]

3) [math] \frac{-5\pm\sqrt{29}}{2}[/math]

4) [math] \frac{-5\pm\sqrt{-29}}{2}[/math]

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