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Which of the following function is perio...

Which of the following function is periodic ?

A

`f(x)=x+sinx`

B

`f(x)=cos sqrt(x)`

C

`f(x)=cos x^(2)`

D

`f(x)= cos^(2)x`

Text Solution

Verified by Experts

The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. If f(x) is an even function, then the curve y=f(x) is symmetric about

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  2. If f(x) is an odd function, then the curve y=f(x) is symmetric

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  3. Which of the following function is periodic ?

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  4. Let the function f(x)=x^(2)+x+sinx- cosx+log(1+|x|) be defined on the ...

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  5. The domain of definition of the function f(x)=(7- x)P(x-3) , is

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  6. The range of function f(x)=^(7-x)P(x-3)i s (a) {1,2,3} (b) {1,2...

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  7. The domain of f(x)=cos^(-1)((2-|x|)/4)+[ log(3-x)]^-1 is (a)[-2,6] ...

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  8. If D is the set of all real x such that 1-e^((1)/(x)-1) is positive , ...

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  9. Which of the following functions has period 2pi ?

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  10. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

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  11. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

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  12. Let f(x)=|x-1|. Then,

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  13. The function f: C -> C defined by f(x) = (ax+b)/(cx+d) for x in C wher...

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  14. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

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  15. (1+2(x+4)^(- 0. 5))/(2-(x+4)^(0. 5))+5(x+4)^(0. 5) Find the domain of...

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  16. Which of the following functions is not an are not an injective map(s)...

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  17. The maximum possible domain and thecorresponding range of f(x)=(-1)^x

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  18. If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...

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  19. The function f(x)=(sin^4x+cos^4x)/(x+tanx) is :

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  20. The function f(x)=(sec^(4)x+cosec^(4)x)/(x^(3)+x^(4)cotx), is

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