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Period of the function f(x) =(1)/(3){sin...

Period of the function `f(x) =(1)/(3){sin 3x + |sin 3x | + [sin 3x]}` is (where [.] denotes the greatest integer function )

A

`(pi)/3`

B

`(2pi)/3`

C

`(4pi)/3`

D

`pi`

Text Solution

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The correct Answer is:
B
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FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
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  4. The graph of y = f(x} is shown, then the number of solutions of f(f(x}...

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  11. Let f(x)=sqrt([sin 2x] -[cos 2x]) (where I I denotes the greatest inte...

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  15. Consider the function f: A -> A where A:{1,2,3,4,5} which satisfy the...

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  16. If f(x+y)=f(x)-f(y)+2xy-1AAx,yinR. Also if f(x) is differentiable and ...

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  17. If f(x) is a real-valued function discontinuous at all integral points...

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  18. A function f from integers to integers is defined as f(x)={{:(n+3",",n...

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  19. f(x)+f(1-1/x)=1+x for x in R-{0,1}. Find the value of 4f(2).

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  20. Xa n dY are two sets and f: XvecYdot If {f(c)=y ; csubX ,ysubY}a n d{f...

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