In \( a \triangle A B C, 2 \cos \frac{A-C}{2}=\frac{a+c}{\sqrt{a^{2}+c^{2}-a c}} \). Then (a) \(...

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In \( a \triangle A B C, 2 \cos \frac{A-C}{2}=\frac{a+c}{\sqrt{a^{2}+c^{2}-a c}} \). Then
(a) \( B=\frac{\pi}{3} \)
(b) \( B=C \)
(c) \( A, B, C \) are in \( A P \)
(d) \( B+C=A \)
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