JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Let

f(x)=\int_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 the correct answer because it satisfies the equation derived from the given integral and its derivative.

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