If in the \( \triangle A B C \), the incentre is the middle point o...

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If in the \( \triangle A B C \), the incentre is the middle point of the median \( A D \) then \( \cos A \) has the value
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(a) \( \frac{7}{8} \)
(b) \( \frac{1}{4} \)
(c) \( \frac{1}{3} \)
(d) \( \frac{1}{\sqrt{2}} \)
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