JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f(x)=\int\limits_{1}^x \sqrt{2-t^2} d t

. Then the real roots of the equation

x^2-f^{\prime}(x)=0

are

View answer and explanation

Correct option: A

\pm 1

Option A (

\pm 1

) is correct because these values satisfy the equation

x^2 = \sqrt{2-x^2}

derived from the given conditions.

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