If f(x-y)+f(x+y)=2f(x)f(y) for all x,y R, then f(x) is ….

MHT CET 2026 Mathematics question

If for all , then is ….

Answer: (B)

Put : . Put : , so either or . If the first relation gives , so is even. If , it is also even (and odd). So

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Question ID VK-098661