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If f(x)=cos (logx), then f(x)f(y)-1/2[...

If `f(x)=cos (logx)`, then `f(x)f(y)-1/2[f(x/y)+f(xy)]=`

A

0

B

`f(x+y)`

C

`(1)/(2) *f(x) f(y)`

D

None of these

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