JEE Main 2022MathematicsArea Under CurvesMediumMCQ

JEE Main 2022 — Area Under Curves Question with Solution

JEE Main 2022 (28 Jun Shift 1)

Question

The area of the region S=x,y:y2≤8x,y≥2x,x≥1 is

Choose an option

Show full solutionCorrect option: D
Correct answer
D1126

Step-by-step explanation

Plotting the region for the given inequalities y2≤8x, y≥2x, x≤1, we get

 

Required area will be ∫1422x-2xdx

=22x323/214-2x2214

=4238-1-2316-1

=2823-1522=1126

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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.