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The fuction f(x) = 2x^3 - 9ax^2 + 12 a^2...

The fuction `f(x) = 2x^3 - 9ax^2 + 12 a^2 x + 1 = 0` has a local maximum at `x = alpha` and a local minimum at `x = beta` such that `beta = alpha^2` then a is equal to :

A

0

B

`1//4`

C

2

D

either 0 or 2

Text Solution

Verified by Experts

The correct Answer is:
C
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