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If the function f(x)=2x^(3)-9ax^(2)+12a^...

If the function `f(x)=2x^(3)-9ax^(2)+12a^(2)x+1`, where `a gt 0`, attains its maximum and minimum at p and q respectivelt such that `p^(2)=q` then a is ………..

A

`(1)/(2)`

B

3

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
D
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then f is …………

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  2. If f(x)=x^(3)+ax^(2)+bx+5sin^(2)x, AA x in R is an increasing function...

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  3. If the function f(x)=2x^(3)-9ax^(2)+12a^(2)x+1, where a gt 0, attains ...

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  4. A rectangle has one side on the positive side of Y - axis and one side...

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  5. The function f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local maximum at ……… a...

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  6. Equation of line passing through a point (1, 4) and the sum of the int...

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  7. p(x)=a(0)+a(1)x^(2)+a(2)x^(4)+…………+a(n)x^(2n) is a polynomial with rea...

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  8. A tangent drawn to the curve x=e^(t)cos t, y=e^(t) sin t at t=(pi)/(4)...

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  9. The approximate value of sin^(-1)(0.51) is ………..

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  10. A stone is thrown in upward direction. Its equation is S=80 t-16 t^(2)...

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  11. If there is an error 4% in the area of circle, then the error in radiu...

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  12. An iron ball having 10 cm radius is covered equally with Ice. Ice is m...

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  13. If x is a real number then maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+...

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  14. The diagonal of a suare is increasing at the rate of 0.5 cm/sec. when ...

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  15. If the curves ax^(2)+by^(2)=1 and a'x^(2)+b'y^(2)=1 are orthogonally t...

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  16. The tangent to the cureve xy+ax+by=0 at (1, 1) makes an angle with X -...

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  17. The maximum value of 27^(cos(2x))xx81^(sin(2x)) is …………

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  18. A balloon, which always remains spherical, has a variable diameter (3)...

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  19. The function f (x) is differentiable for every x. f(1)=-2 and f'(x)ge ...

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  20. The side of an equilateral triangle expands at the rate of sqrt(3) cm/...

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