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Let f be a non-negative function in [0, ...

Let f be a non-negative function in [0, 1] and twice differentiate in (0, 1). If `int_0^x sqrt(1-(f'(t))^(2))dt=int_0^x f(t)dt , 0 lexle1` and `f(0)=0` then the value of `lim_(x to0)int_0^xf(t)/x^2 dt` is

A

equals `1/2`

B

does not exist

C

equals 0

D

equals 1

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