JEE Main 2021MathematicsArea Under CurvesMediumNumerical

JEE Main 2021 — Area Under Curves Question with Solution

JEE Main 2021 (25 Feb Shift 1)

Question

The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A4 is equal to

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Show full solutionCorrect answer: 64
Correct answer
64

Step-by-step explanation

A=∫π/45π/4sinx-cosxdx

=-cosx-sinxπ/45π/4

=--12--12--12-12

⇒ A=22+22=22 sq. units

⇒ A4=224=16×4=64

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About this question

This is a previous-year question from JEE Main 2021, 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.