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If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+p...

If `f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1,` then `(gof)(x)` is ____________

A

1

B

0

C

sin x

D

None of these

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The correct Answer is:
A
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VMC MODULES ENGLISH-FUNCTIONS-Level -1
  1. f(x)=(sin x^(7)) e^(x^(5)). Sgn( x^(9)) is:

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  2. Which of the following functions is an odd function:

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  3. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

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  4. The period of the fuction f(x)=sin""((pix)/(n!))+ cos((pix)/((n+1...

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  5. The period of the function f(x)=(sin x+sin 2x+sin 4x+sin 5x)/(cos x+co...

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  6. Statement 1: The function f (x) = sin x is symmetric about the line x ...

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  7. Period of sinx + cosx:

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  8. Which of the following functions is non-periodic?

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  9. If f(x)=(1)/((1-x)),g(x)=f{f(x)}andh(x)=f[f{f(x)}]. Then the value of ...

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  10. The period of function (|sin x|+|cos x|)/(|sin x-cos x|+|sin x+cos x|)...

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  11. Statement-1: Function f(x)=sin(x+3 sin x) is periodic . Statement-2...

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  12. Period of f(x) = sin^4 x + cos^4 x

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  13. If f(x)=sin (sqrt([lambda])x) is a function with period pi , [ ] wher...

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  14. If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional pa...

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  15. If 2f (x-1)-f((1-x)/x)=x , then f(x) is:

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  16. Suppose f is a real valued function satisfying f(x+f(x))=4f(x) and f(1...

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  17. If h(x)=log(10)x, then the value of underset(n=1)overset(89)sumh"("tan...

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  18. If f(x)+2f((1)/(x))=3x,x ne 0, and S={x in R: f(x)=f(-x)}, then S

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  19. Let h(x) = min {x, x^2}, for every real number of X.

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  20. The function f(x) = "max"{(1-x), (1+x), 2}, x in (-oo, oo) is

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