Let f(x)= _ 1 ^ x 2-t^ 2 d t , then the real roots of the equation x 2 – f ′( x ) = 0 are

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

Let \(f(x)=\int_{1}^{x} \sqrt{2-t^{2}} d t\), then the real roots of the equation x2f ′(x) = 0 are
  1. ±1
  2. 0 and 1

Answer

(C)

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