Let f(x) be a real valued function such ...

Let f(x) be a real valued function such that `f(0)=1/2` and f(x+y)=f(x)f(a-y)+f(y)f(a-x),`forall x,y in R`, then for some real a,

f (x) is perodic function

f (x) is a constant function

`f (x)= 1/2`

` f(x) =(cos x)/(2)`

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A, B, C

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