If in a \( \triangle A B C, A=\frac{\pi}{3} \) and \( A D \) is the median, then (A) \( 2 A D^{2...

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If in a \( \triangle A B C, A=\frac{\pi}{3} \) and \( A D \) is the median, then
(A) \( 2 A D^{2}=b^{2}+c^{2}+b c \)
(B) \( 6 A D^{2}=b^{2}+c^{2}+b c \)
(C) \( 4 A D^{2}=b^{2}+c^{2}+b c \)
(D) none of these
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