JEE Main 2020MathematicsArea Under CurvesMediumMCQ

JEE Main 2020 — Area Under Curves Question with Solution

JEE Main 2020 (06 Sep Shift 2)

Question

The area (in sq. units) of the region enclosed by the curves y=x2-1 and y=1-x2 is equal to:

Choose an option

Show full solutionCorrect option: B
Correct answer
B83

Step-by-step explanation

  

Given curves are

y=x2-1

and

y=1-x2

so intersection point are ±1,0

∴ bounded area

=4∫011-x2dx

=4x-x3301

=41-1383 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.