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If f(x)=cos |x| + [|(sinx)/2|], (where [...

If `f(x)=cos |x| + [|(sinx)/2|],` (where [.] denotes the greatest integer function), then `f(x)` is

A

f(x) is periodic

B

f(x) is odd

C

f(x) is non-periodic

D

none of these

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A
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FIITJEE-FUNCTION-ASSIGNMENT PROBLEMS (OBJECTIVE) Level-I
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  10. Let Sn=sum(r+1)^(n)r ! (n>6), then Sn-7[(Sn)/7] (where [.] denotes the...

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  14. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

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  15. If f(x)=abs(x-1)+abs(x-4)+abs(x-9)+…+abs(x-2500)AA x inR, where m and ...

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  16. Domain of the function f(x) = sin^(-1) [1 + cos x]- sqrt(16-x^(2)) ([....

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  17. The number of solutions of log(x)3. = 2x-3 is,

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  18. Domain of f(x)=sqrt((x-1)/(x-2{x})), where {.} denotes the fractional ...

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

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  20. The region M consists of all the points (x, y) satisfying the inequali...

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