Question

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

Option

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

Question

2.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

Option

1) 7cm, 12 cm     

2) 5cm, 12cm      

3) 5cm, 7cm        

4) 13cm, 7cm

Question

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

Option

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

Question

4.The difference of squares of two numbers is 180. If the square of the smaller number is 8 times the larger number, then the larger number is

Option

1) 18    

2) 12       

3) 22 

4) 14

Question

5.If α,β are the roots of 6x2-6x+1=0 then

Option

1) α+β=1

2) [math]|α+β|=\frac{-1}{\sqrt3}[/math]

3) α2+β2=2/3

4) [math]|α+β|=\frac{1}{\sqrt3}[/math]

Question

6.If α,β are the roots of 3x2+7x+5=0 then

Option

1) α+β=5/3

2) α+β= -7/3

3) [math]|α+β|=\frac{\sqrt{29}}{3}[/math] 

4) αβ=-5/3

Question

7.If the roots of x2-(a+1)x+b2=0 are equal, a+b=2 and (a+1)b <0 , then a=

Option

1) 4     

2) 6    

3) 5    

4) 3

Question

8.If the roots of x2-(a+1)x+b2=0 are equal, a+b=2 and (a+1)b <0 , then b=

Option

1) -1            2) -3            3) -2            4) -4

Question

9.The sum of the roots of (2022)x2-(2017)x+4044=0  is

Option

1) 2017      

2) 2017/2022      

3) 2   

4) 1/2

Question

10.The discriminant of ax2+bx+c=0 is equal to zero, then the roots are each equal to

Option

1) b/2a      

2) -a/2b     

3) -b/2a     

4) a/2b

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