JEE Main 2021MathematicsArea Under CurvesMediumMCQ

JEE Main 2021 — Area Under Curves Question with Solution

JEE Main 2021 (24 Feb Shift 2)

Question

The area of the region: R=x,y:5x2≤y≤2x2+9 is

Choose an option

Show full solutionCorrect option: B
Correct answer
B123 square units

Step-by-step explanation

Required area=2∫032x2+9-5x2dx

=29x-x303

=293-33=123 square units

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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.