Question

Let f(x) be a polynomial function of second degree. If f(1) = f (-1) and a,b,c are in A. P , then f'(a), f'(b), f'(c) are in
(a) Arithmetic -Geometric Progression
(b) A.P
(c) G..P
(d) H.P.

Answer 1

f'(a)= -a

f'(b)= -b

f'(c)= -c

which are also in AP

So answer is~ (b) A.P

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