JEE Main 2020MathematicsArea Under CurvesHardMCQ

JEE Main 2020 — Area Under Curves Question with Solution

JEE Main 2020 (02 Sep Shift 1)

Question

Area (in sq. units) of the region outside x2+y3=1 and inside the ellipse x24+y29=1 is

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Show full solutionCorrect option: A
Correct answer
A6π−2

Step-by-step explanation

Area of ellipse =πab=6π
Area enclosed by |x|2+|y|3=1 is
=4×1223=12
So, required area=6π-12 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.