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Application of Derivatives question

2003 · Shift 0 · Q78

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PYQ Library
JEE Main
Mathematics
Application of Derivatives
2003 · Shift 0 · Q78

Application of Derivatives question

2003 · Shift 0 · Q78

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

If the function

f\left( x \right) = 2{x^3} - 9a{x^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
${1 \over 2}$
B
$3$
C
$1$
D
$2$

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