1.

Let f be a non - negative function on the interval [0,1] . If int_(0)^(x)sqrt(1-(f'(t)))^(2)dt=int_(0)^(x)f(t)dt,0lexle1andf(0)=0 then

Answer»

`f((1)/(2))lt(1)/(2)andf((1)/(3))GT(1)/(3)`
`f((1)/(2))gt(1)/(2)andf((1)/(3))gt(1)/(3)`
`f((1)/(2))lt(1)/(2)andf((1)/(3))lt(1)/(3)`
`f((1)/(2))gt(1)/(2)andf((1)/(3))lt(1)/(3)`

ANSWER :C


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