1.

If the function \[f(x)={{x}^{3}}-6{{x}^{2}}+ax+b\] satisfies Rolle?s theorem in the interval \[[1,\,3]\] and \[f'\left( \frac{2\sqrt{3}+1}{\sqrt{3}} \right)=0\], then                                                               [MP PET 2002]

A.            \[a=-11\]
B.            \[a=-6\]
C.            \[a=6\]
D.            \[a=11\]
Answer» E.


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