Question: 01

If 5 is a root of x2-(K-1)x+10=0 , then the value of “K” is

1) –8              2) 7   

3) 8                4) 12

Question: 02

Which of the following is/are not quadratic equations?

1) (x2+1)(x2-1)=0   

2) (x-2)2+1=x2+8  

3) x(x+1)+8=(x+2)(x-2)   

4) x2-55x+75=0

Question: 03

If α,β are the roots of x2+2x+5=0 then

1) α+β=-2   

2) αβ=5      

3) (α/β)+ (β/α)=(-6/5)   

4) α+β=2

Question: 04

If 5x²-4x+3=1, then x=

1) 1         2) 3          3) 8           4) 7

Question: 05

If the roots of x2+kx+12=0 are in the ratio 1:3, then the value of ‘k’ is

1) 8         2) –7        3) 7          4) –8

Question: 06

If α and β are the roots of the equation ax2+bx+c=0 (a ≠ 0) then [math]\frac{1}{\alpha}+\frac{1}{\beta}=[/math]

1) [math]\frac{b}{c}[/math]

2) [math]\frac{-b}{c}[/math]

3) [math]\frac{b}{a}[/math]

4) [math]\frac{-b}{a}[/math]

Question: 07

If α and β are the roots of the equation ax2+bx+c=0 (a ≠ 0) then α2+β2= 

1) [math]\frac{b^2-4ac}{a^2}[/math]

2) [math]\frac{b^2+4ac}{a^2}[/math]

3) [math]\frac{b^2-2ac}{a^2}[/math]

4) [math]\frac{b^2+2ac}{a^2}[/math]

Question: 08

If α and β are the roots of the equation ax2+bx+c=0 (a ≠ 0) then  |α-β|=

1) [math]\frac{-\sqrt{{4ac-b}^2}}{a}[/math]

2) [math]\frac{\sqrt{{4ac-b}^2}}{\left|a\right|}[/math]

3) [math]\frac{\sqrt{b^2+4ac}}{\left|a\right|}[/math]

4) [math]\frac{\sqrt{b^2-4ac}}{\left|a\right|}[/math]

Question: 09

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

1) q2-p2=2pr          2) p2-q2=2pr         

3) p2-r2=2qr          4) p2+q2=2qr

Question: 10

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

1) p=1         2) p = 1or 0          

3) p=-2        4) p=-2 or 0

Question: 11

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

1) 0 and 1  

2) 0 and 4  

3) 1 and 4

4) 0, 1 and 4

Question: 12

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

1) [math]\sqrt7[/math]

2) 3

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

4) –3

Question: 13

If α,β are the roots of x2+5x+k=0 and α2β+αβ2=-30 , then k= _____

1) 8              2) -6                 3) 12                     4) 6

Question: 14

The altitude of a right angled triangle is 7cm less than its base. If the hypotenuse is 13cm , then the lengths of the other two sides are

1) 7cm, 12 cm     

2) 5cm, 12cm      

3) 5cm, 7cm        

4) 13cm, 7cm

Question: 15

If there are two numbers whose sum is 27 and product is 182, then the larger number is

1) 15        2) 14           3) 12             4) 6

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