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Let f(x) be a function such that f'(x)=l...

Let f(x) be a function such that `f'(x)=log_(1//3)[log_(3)(sinx+a)]`. If f(x) is decreasing for all real values of x , then

A

`a in (1,4)`

B

`a in(4,oo)`

C

`a in(2,3)`

D

`a in (2,oo)`

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The correct Answer is:
B
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