JEE Math Practice Question
If the function $$f\left( x \right) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1,$$ where $$a>0,$$ attains its maximum and minimum at $$p$$ and $$q$$ respectively such that $${p^2} = q$$ , then $$a$$ equals
- A.$${1 \over 2}$$
- B.$$3$$
- C.$$1$$
- D.$$2$$
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