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In which of the following situations, it is possible to have a triangle \( \mathrm{ABC} \) ?
\( P \) (All symbols used have usual meaning in a triangle.)

W
(A) \( (a+c-b)(a-c+b)=4 b c \)
(B) \( b^{2} \sin 2 C+c^{2} \sin 2 B=a b \)
(C) \( \mathrm{a}=3, \mathrm{~b}=5, \mathrm{c}=7 \) and \( \mathrm{C}=\frac{2 \pi}{3} \)
(D) \( \cos \left(\frac{\mathrm{A}-\mathrm{C}}{2}\right)=\cos \left(\frac{\mathrm{A}+\mathrm{C}}{2}\right) \)
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