let f(x) be a polynomial function of sec...

let `f(x)` be a polynomial function of second degree. If `f(1)=f(-1)and a_(1),a_(2),a_(3)` are in AP, then show that `f'(a_(1)),f'(a_(2)),f'(a_(3))` are in AP.

A

AP

B

GP

C

HP

D

Arithmetic Geometric progression

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A

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