JEE Main 2020MathematicsArea Under CurvesMediumMCQ

JEE Main 2020 — Area Under Curves Question with Solution

JEE Main 2020 (07 Jan Shift 1)

Question

The area of the region (in sq. units), enclosed by the circle x2+y2=2 which is not common to the region bounded by the parabola y2=x and the straight line y=x, is

Choose an option

Show full solutionCorrect option: D
Correct answer
D1612π-1

Step-by-step explanation

Required area

=2π-∫01x-xdx

=2π-2x323-x2201

=2π-23-12

=2π-16

=12π-16 sq.units

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About this question

This is a previous-year question from JEE Main 2020, covering the Area Under Curves chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.