JEE Main 2017 Mathematics question

The area (in sq. units) of the smaller portion enclosed between the curves, and , is:

(1)Correct
(2)
(3)
(4)

Answer: (1)

Solution

Find where the curves meet: substituting into gives , so or . Only is admissible (the parabola requires ), giving the points . The smaller region is symmetric about the -axis, bounded by the parabola for and

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Question ID VK-115847