Assertion (A): If \( f(x+y)+f(x-y)=2 f(x) \cdot f(y) \) \( \forall x, y \in R \) and \( f(0) \ne...

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Assertion (A): If \( f(x+y)+f(x-y)=2 f(x) \cdot f(y) \)
\( \forall x, y \in R \) and \( f(0) \neq 0 \), then \( f(x) \) is an even function.
Reason (R): If \( f(-x)=f(x) \), then \( f(x) \) is an even function.
(A) Both A and R are true and R is the correct explanation of A.br(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
(E) Both A and R are false.
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