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Q)

If in a triangle $ABC$ $a \cos^2(\frac{C}{2} ) + c \cos^2(\frac{A}{2} ) = \frac{3b}{2}$, then the sides $a,\;b$ and $c$ :


( A ) are in GP
( B ) are in HP
( C ) satisfy a + b = c
( D ) are in AP

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