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Q)

Let $f(x)$ be a polynomial function of second degree. If $f(1) = f(-1)$ and $a, \; b, \; c$ are in AP, then $f'(a), \; f'(b)$ and $f'(c)$ are in :


( A ) arithmetico-geometric progression
( B ) AP
( C ) HP
( D ) GP

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