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

If `f(x)=cos(logx)`, then :
`f(x).f(y)-(1)/(2)(f((x)/(y))+f(xy))` has the value :

A

-1

B

`(1)/(2)`

C

-2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:

D

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If f(x)=cos(logx) , then f(x^2)f(y^2)-(1)/(2)[f((x^2)/(y^2))+f(x^(2)y^(2))] has the value :

A

-2

B

-1

C

`(1)/(2)`

D

None of these

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

A

`cos(x-y)`

B

`log[cos(x+y)]`

C

1

D

0

if f(x) = cos (log x) then the value of f(x) f(y)-(1//2) [f(x//y) + f(xy) ] is

A

`x^2`

B

0

C

`x^2 + 2x +1`

D

None of these

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