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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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MODERN PUBLICATION-FUNCTIONS-MULTIPLE CHOICE QUESTIONS (LEVEL -II)
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  2. If f(x)=cos(logx), then f(x^2)f(y^2)-(1)/(2)[f((x^2)/(y^2))+f(x^(2)y^(...

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  3. Let p(x)=a^(2)+bx,q(x)=lx^(2)+mx+n. If p(1)-q(1)=0,p(2)-q(2)=1andp(3)-...

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  13. The domain of the function : f(x)=log(10)log(10)(1+x^2) is :

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  14. Given f(x):(1)/(sqrt(|x|-x))andg(x)=(1)/(sqrt(x-|x|)), then :

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  15. The function f and g are given by : f(x)=(x), the fractional part of x...

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  16. Let f(x)=sinsqrt(p)x, where p=[a]=greatest integer less than or equal...

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  17. Let f:RtoR be defined by f(x)=x^(2)+1, then the value of f^(-1)(17)and...

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  18. Let x be any real number, then [x+y]=[x]+[y] holds for :

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  19. log(2)(log(3)(log(2)x))=1, then the value of x is :

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  20. Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is...

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