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If f(x) = cos(log x), then f(x^(2)) . ...

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

A

`-2`

B

`-1`

C

`1/2`

D

0

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Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  12. If f(x) = cos|e^(2)| x + cos[-e^(2)]x where [x] stands for greatest in...

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  13. If f:RR rarr RR is defined by f(x)=x-[x] -(1)/(2)" for "x in RR, where...

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  14. Let g(x) =1+x-[x] and f(x) ={{:(-1, if, x lt 0),(0, if, x=0),(1, if, x...

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  15. If f: R to R and g: R to R are defined by f(x) =x-[x] and g(x) =[x] A...

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  16. If f(x)=[x], g(x)=x-[x] then which of the following functions is the z...

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  17. If f : R to R and g: R to R are given by f(x) =|x| and g(x) =[x] for e...

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  18. f(x) = {{:([x], if, -3 lt x le -1),(|x|, if, -1 lt x lt 1),(|[-x]|, if...

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  19. If f(x) is a polynomial fin x( gt0) satisfying the equation f(x)+f(1//...

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