If the function \( f(x)=a x^{3}+b x^{2}+11 x-6 \) satisfies conditions of Rolles theorem in [1, ...

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If the function \( f(x)=a x^{3}+b x^{2}+11 x-6 \) satisfies conditions of Rolles theorem in [1, 3] and \( f^{\prime}\left(2+\frac{1}{\sqrt{3}}\right)=0 \), then values of \( a \) and \( b \) are respectively
\( \mathrm{P} \)
(A) \( 1,-6 \)
(B) \( -2,1 \)
(C) \( \quad-1, \frac{1}{2} \)
(D) \( -1,6 \).
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