JEE Main 2021MathematicsArea Under CurvesEasyMCQ

JEE Main 2021 — Area Under Curves Question with Solution

JEE Main 2021 (25 Jul Shift 1)

Question

The area (in sq. units) of the region, given by the set x,y∈R×R∣x≥0,2x2≤y≤4-2x is :

Choose an option

Show full solutionCorrect option: D
Correct answer
D73

Step-by-step explanation

Given curves are y=2x2 & y=4-2x

So, 2x2=4-2x

⇒2x2+2x-4=0⇒x-1x+2=0

So, the x-coordinate of the intersection point is 1 as x=-2<0

Required area ∫014-2x-2x2dx=4x-x2-2x3301

=4-1-23=73

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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.