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If the function f(x)=x^3-12ax^2+36a^2x-4...

If the function `f(x)=x^3-12ax^2+36a^2x-4 (a gt 0)` attains its maximum and minimum at x=p and x=q respectively and if `3p=q^2` , then a is equal to a)`1/6` b)`1/36` c)`1/3` d)18

A

`1/6`

B

`1/36`

C

`1/3`

D

18

Text Solution

Verified by Experts

The correct Answer is:
A
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