JEE Main 2022MathematicsArea Under CurvesMediumMCQ

JEE Main 2022 — Area Under Curves Question with Solution

JEE Main 2022 (26 Jul Shift 2)

Question

The area bounded by the curves y=x2-1 and y=1 is

Choose an option

Show full solutionCorrect option: D
Correct answer
D832-1

Step-by-step explanation

Plotting the diagram of y=x2-1 and y=1, we get,

Area of the region between the two curves

 =2∫021-x2-1dx

=2∫011+x2-1dx+∫121-x2-1dx

=2x3301+22x-x3312

=213+222-223-22-13

=832-1

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About this question

This is a previous-year question from JEE Main 2022, 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.