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Let f be a real valued periodic function...

Let f be a real valued periodic function defined for all real umbers x such that for some fixed ` a gt 0` , `f(x+a)=(1)/(2)+sqrt(f(x)-{f(x)}^(2))` for all x .
Then , the period of f(x) is

A

range of f{x} is `[1/2,1]`

B

f(x) is many-one

C

f(x) is periodic

D

f(x) is odd

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A, B, C
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