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If f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, A...

If `f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, AA x in R ` and f(0)=1) then f(x) is a periodic function with the period

A

`pi`

B

`2pi`

C

`pi/2`

D

none of these

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