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

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

A

3

B

1

C

2

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
C
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