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

If `f(x) = cos(log x)` then `f(x)f(y)-1/2[f(x/y)+f(xy)]` has the value

A

0

B

`f(x+y)`

C

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

D

None of these

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Knowledge Check

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

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    B
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    C
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    D
    0

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