Let f be a non-negative function defined on the interval [0, 1]. If _ 0 ^ x 1- (f^ (t) )^…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f be a non-negative function defined on the interval [0, 1]. If \(\int_{0}^{x} \sqrt{1-\left(f^{\prime}(t)\right)^{2}} d t=\int_{0}^{x} f(t) d t, 0 \leq x \leq 1,\) and
f(0) = 0, then
f(0) = 0, then
Answer
(C)
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