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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. \[\frac{1}{2}\] | |