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If f(x)=sin(logx), then f(xy)+f(x//y)-2f...

If `f(x)=sin(logx)`, then `f(xy)+f(x//y)-2f(x)cos (logy)=`

A

0

B

`sin(logx)`

C

`cos(logx)`

D

`cos(log y)`

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The correct Answer is:
A
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AAKASH SERIES-FUNCTIONS -PRACTICE EXERCISE
  1. The number of constant functions that can be defined from {1, 2, ……….,...

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  2. If f, g, h are functions from R to R such that f(x) = x^(2)+1, g(x) =s...

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  3. If f(x)=sin(logx), then f(xy)+f(x//y)-2f(x)cos (logy)=

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  4. If f(x)=(1)/(2)[3^(x)+3^(-x)], g(x)=(1)/(2)[3^(x)-3^(-x)] then f(x)g(y...

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  5. If f(x) =cos[pi^(2)]x + cos[-pi^(2)]x where [x] is symmetrical about t...

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  6. The graph of the function y = f(x) is symmetrical about the line x = 3...

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  7. Let f(x) = ax^(3) + bx +c. Then when f is odd,

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  8. a) The number of elements in the range of a constant function. (b) I...

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  9. The value of parameter alpha, for which the function f(x) =1+alphax, a...

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  10. Let f:[4, infty) to [1, infty) be a function defined by f(x) = 5^(x(x-...

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  11. If f: R to R and g: R to R are defined by f(x) =3x-4, g(x)=2+3x and 2(...

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  12. The domain of the definition of the function f(x) = sqrt(4^(x) + 8^(...

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  13. The domain of f(x) =sqrt((x-1)(x+1)(x+2)) is:

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  14. The number of positive integers x , for which the function f(x) = sqrt...

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  15. The domain of f(x) = sqrt(x^(2) + 2|x|-3) is

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  16. find the domain of g(x) 1/sqrt(|x|-x)

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  17. The domain of real function sqrt(log(9)x^(2)) is given by:

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  18. If 1-e^(1/x-1) gt 0, then x is not satisfied by………. Number of integral...

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  19. The range of the function sin([x]pi) is:

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  20. The range of the function cos(pi[x]) is

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