Question

1.In a quadratic equation ax2+bx+c=0,b2-4ac is called

Option

1) Real        2) Positive   3) Root        4) Discriminant

Question

02. [math]\sqrt x=\sqrt{2x-1}[/math] then x =

Option

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

Question

3.The sum of the roots of a pure quadratic equation is

Option

1) cannot be determined          2) 1    3) 2    4) 0

Question

4.If the discriminant of a quadratic equation with rational coefficients is a perfect square, then the roots are

Option

1) Integers  

2) Non real                   

3) irrational         

4) rational

Question

5.The sum of roots of 6x2 – 2022 = 0

Option

1) 2022       2)1011/3    3) 6    4) 0

Question

6.The discriminant of the equation 3x2-2x+(1/3)=0

Option

1) 0             2) -2            3) 3             4) -3

Question

07. The quadratic equation with rational coefficients whose one of the roots is [math]\left(2-\sqrt3\right)[/math] is

Option

1) x2-4x+1=0        

2) x2+4x-1=0        

3) x2-4x-1=0        

4) x2-2x-3=0

Question

8.If the product of two consecutive positive integers is 306, then the numbers are

Option

1) 14, 15               2) 15, 16               3) 16, 17               4) 17, 18

Question

9.If the roots of (b-c)x2+(c-a)x+(a-b)=0 are equal, then

Option

1) 2a=b+c    2) 2b=a+c    3) 2c=a+b b          4) a=b+c

Question

10.In the quadratic equation ax2+bx+c=0 , if c=0 then

Option

1) 1 is one of its roots              2) roots are equal

3) 0 is one of its roots              4) roots are not real.

Question

11.[math]\left(1-\frac{1}{1+x}\right)\div\left(\frac{1}{1+x}\right)=[/math]

Option

1) 1             2) x2            3) 2x           4) x

Question

12.If D = 0, then the roots of ax2+bx+c=0 are 

Option

1) [math]\frac{b}{2a},\frac{b}{2a}[/math]

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

3) [math]\frac{c}{2a},\frac{c}{2a}[/math]

4) [math]\frac{-a}{2b},\frac{-a}{2b}[/math]

Question

13.9 and 1 are the roots of

Option

1) x2-10x+9=0      

2) x2-x+1=0

3) x2+3x+4=0       

4) x2+10x+9=0

Question

14.Quadratic equation with roots 2 and –3 is

Option

1) x2-x-6=0 

2) x2+x-6=0

3) x2+5x-6=0        

4) x2-5x+6=0

Question

15.The graph of y=ax2+bx+c is downward parabola if

Option

1) a < 0       2) a > 0       3) a = 0       4) a = 1

Question

16.If px2+qx+r=0 has equal roots, then r =

Option

1) q2/2p      2) q/2p       3) -q2/4p     4) q2/4p

Question

17.The sum of squares of the roots of x2+8x+15=0 is

Option

1) 30     2) 34      3) 40         4) 44

Question

18. If α,β are the roots of 5×2+5x+6=0 then (1+α)(1+β)=

Option

1) 4/5         2) 3/5         3) 6/5         4) 6/5

Question

19. If α,β are the roots of 5×2+5x+7=0 then

Option

1) α+β=-1   

2) αβ=7/5  

3) (1+α)(1+β)=7/5 4)

4) αβ=-7/5

Question

20.Among the following, equations has two distinct real roots is/are

Option

1) x2+x-5=0

2) x2-5x+6=0        

3) x2+5x+6=0       

4) 5x2-3x+1=0

Question

21.If x2-2x+1=0 , then

Option

1) [math] x+\frac{1}{x}=2[/math]

2) [math] x-\frac{1}{x}=0[/math]

3) [math] x^2+\frac{1}{x^2}=2[/math]

4) [math] x^4+\frac{1}{x^4}=2[/math] 

Question

22.Among the following, the quadratic equations is/are

Option

1) x(2x+3)=x2+1   

2) (x-2)2+1=2x-3   

3) x2+3x+1=(x-2)2 

4) (x+1)2=2(x-3)

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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