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If the quadratic expression x^(2)-(a-1)x...

If the quadratic expression `x^(2)-(a-1)x+(a+(1)/(4))` were to be a perfect square then a=

A

0, 6

B

2, 4

C

1, 8

D

4, 8

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The correct Answer is:
A
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AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-II
  1. If one root of the equation x^(2) + px + 12 = 0 is 4, while the equati...

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  2. The roots of (x-b)(x-c) +(x-a)(x-c) +(x-a) (x-b)=0 are

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  3. If the quadratic expression x^(2)-(a-1)x+(a+(1)/(4)) were to be a per...

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  4. If 0 gt a gt b gt c and the roots alpha, beta are imaginary roots of ...

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  5. For a, b, c in Q and b + c ne a, the roots of ax^(2)-(a+b+c)x+(b+c)=0

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  6. For a, b, c in R and a, b, c are different, then the roots of (x+a)(x+...

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  7. If a, b, c are real then (b-x)^(2)-4(a-x) (c-x)=0 will have always roo...

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  8. If a, b, c are all positive and in H.P., then the roots of ax^(2)+2bx+...

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  9. The root of (x-a)(x-a-1)+(x-a-1)(x-a-2)+(x-a)(x-a-2)=0, a in R are alw...

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  10. Let f(x)=x^(2)+ax+b, where a, b in R. If f(x)=0 has all its roots imag...

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  11. The roots of ax^(2) + 2bx + c = 0 and bx^(2)- 2sqrt(ac)x+b=0 are simu...

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  12. If a in Z and the equation (x-a)(x-10) +1=0 has integral root...

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  13. If the roots of (1)/(x+a)+ (1)/(x+b)= (1)/(c) are equal in magnitude ...

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  14. If (x + 2)(x + 3b) = c has roots alpha,beta , then the roots of (x + a...

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  15. IF 20 ^(3- 2x^2 = ( 40 sqrt(5) ) ^(3x^2-2), then x=

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  16. {x in R: |x-2|= x^(2)}=

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  17. The equation |2x - x^(2) - 3|=1 has

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  18. If |x^(2)| + |x| + 12 = 0, then x =

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  19. The number of real roots of |x^(2)| - 5|x| + 6 = 0 is

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  20. sqrt((x)/(x-3))+ sqrt((x-3)/(x))= (5)/(2), x ne 0, x ne 3 then x=

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