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The period of the function f(x) = {(1","...

The period of the function `f(x) = {(1",","when x is a rational"),(0",","when x is irrational"):}` is

A

1

B

2

C

non - periodic

D

periodic but having no period

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The correct Answer is:
D
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AAKASH SERIES-PERIODICITY AND EXTREME VALUES-Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)
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  3. The range of sin^(6) x + cos^(6) x

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  4. The minimum and maximum values of sin^(4) x + cos^(4) x are

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  5. the range of cos (x+ (pi)/(6)) cos (x-(pi)/(6)) is

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  6. sin theta sin (60^(@) - theta) sin (60^(@)+ theta) in [-k,k] rArr k=

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  7. The minimum and maximum values of sin^(2) (60^(@)-x) + sin^(2) ( 60^(@...

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  8. Find the extreme values of the following function over R. (i)...

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  9. The extreme values of 4cos(x^(2)).cos((pi)/(3)+x^(2)).cos((pi)/(3)-x^...

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  10. (sin x + cos x)^(2) + cos^(2)((pi)/(4) + x) in

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  11. For all values of theta, the values of 3-cos theta+cos (theta+(pi)/(3)...

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  12. 5 cos theta + 3 cos ( theta - (pi)/(3) )+8 in

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  13. A+B = 90^(@) rArr cos A cos B in

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  14. A+B = 90^(@) rArr sin A + sin Bin

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  15. The range of cos^(2) x + sin^(4) x is

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  16. The range of f(x)=-3 cos sqrt(3x+x+x^(2)) is

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  17. The minimum and maximum values of 8 cos 3x - 15 sin3x are

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  18. The maximum value of (3 ) /( 5 sin x-12 cos x+19) is

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  19. cos5x=16 cos^(5) x -20 cos^(3) x +5 cos x in

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  20. 3 sin^(2) x -4 cos^(2) x in

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  21. The maximum value of cos x ((cos x )/( 1- sin x) + (1- sin x)/( cos x)...

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