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If `f(x-y), f(x) f(y), and f(x+y)` are in A.P. for all x, y, and `f(0) ne 0,` then

A

`f(3)+f(-3)=0`

B

`f'(1)+f'(-1)=0`

C

`f'(2)-f'(-2)=0`

D

`f'(3)+f'(-3)=0`

Text Solution

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The correct Answer is:
B, D
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