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f is a real-valued function not identica...

f is a real-valued function not identically zero, satisfying `f(x + y) + f(x - y) = 2f(x) ·f(y) AA x, y in R. f(x)` is definitely a)odd b)even c)neither even nor odd d)none of these

A

odd

B

even

C

neither even nor odd

D

none of these

Text Solution

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The correct Answer is:
B
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