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If the function f(x)=2x^3-9ax^2+12a^2x+1...

If the function `f(x)=2x^3-9ax^2+12a^2x+1,` where `a gt 0,` attains its maximum and minimum at `p and q,` respectively, such that `p^2=q,` then `a` equal to (a) `1` (b) `2` (c) `1/2` (d) `3`

A

3

B

1

C

2

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
C
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