JEE Main 2020MathematicsArea Under CurvesMediumMCQ

JEE Main 2020 — Area Under Curves Question with Solution

JEE Main 2020 (08 Jan Shift 2)

Question

The area (in sq. units) of the region x, y∈R2:x2≤y≤3-2x, is.

Choose an option

Show full solutionCorrect option: A
Correct answer
A323

Step-by-step explanation

Point of intersection of y=x2 & y=-2x+3, is obtained by x2+2x-3=0⟹x=-3,1.

So, area of the required region is

∫-313-2x-x2 dx

=3x-x2-x33-31=323.

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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.