If the functions f satisfies the relatio...

If the functions f satisfies the relation `f(x+ y ) +f( x-y) = 2f ( x) f(y) AA x, yin R and f (0) ne 0 , `then

A

`f(x)` is an even function

B

`f(x)` is an odd function

C

If `f(2)=a`, then `f(-2)=a`

D

If `f(4)=b`, then `f(-4)= - b`

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The correct Answer is:

A, C

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