1.

If the function \[f(x)=2{{x}^{3}}-9a{{x}^{2}}\] \[+12{{a}^{2}}x+1,\]where \[a>0\] attains its maximum and minimum at p and q respectively such that \[{{p}^{2}}=q\], then aequals [AIEEE 2003]

A. 3
B. 1
C. 2
D. \[\frac{1}{2}\]
Answer» D. \[\frac{1}{2}\]


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