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The function f(x)={{:( 1, x in Q),(0, x ...

The function `f(x)={{:( 1, x in Q),(0, x notin Q):}`, is

A

periodic with period 1

B

periodic with period 2

C

not periodic

D

periodic with indetermine period .

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-REAL FUNCTIONS -Chapter Test
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  2. The domain of definition of the function f(x)=tan((pi)/([x+2])), is

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  3. The range of the function f(x)=sin{log(10)((sqrt(4-x^(2)))/(1-x))} ,is

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  4. The range of the function y=(x+2)/(x^2-8x+4)

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  5. The range of the function f(x)=1+sinx+sin^(3)x+sin^(5)x+…… when x in ...

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  6. The period of the function f(x)=|sin 3x|+| cos 3x| , is

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  7. The function f(x)={{:( 1, x in Q),(0, x notin Q):}, is

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  8. Which of the following functions has period pi ?

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  9. The function f(x)=x[x] , is

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  10. If f(x) and g(x) are periodic functions with the same fundamental per...

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  11. The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi], where ...

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  12. If f(sinx)-f(-sinx)=x^(2)-1 is defined for all x in R , then the val...

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  13. Let f:[pi,3pi//2] to R be a function given by f(x)=[sinx]+[1+sinx]+[2...

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  14. Let the function f(x)=3x^(2)-4x+5log(1+|x|) be defined on the interval...

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  15. If f:[-4,0]->R is defined by f(x) = e^x + sin x, its even extension to...

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  16. Which one of the following is not periodic ?

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  17. The domain of the function f(x)=(sin^(-1)(3-x))/(log(e)(|x|-2)), is

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  18. The domain of f(x)=log|log(e)x| , is

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  19. The period of sin^(2) theta , is

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  20. The domain of the function f(x)=""^(16-x)C(2x-1)+^(20-3x)P(4x-5), wher...

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