1.

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,

Answer»

f (X) is perodic FUNCTION
f (x) is a CONSTANT function
`f (x)= 1/2`
` f(x) =(cos x)/(2)`

Answer :A::B::C


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