JEE Main 2022MathematicsArea Under CurvesEasyMCQ

JEE Main 2022 — Area Under Curves Question with Solution

JEE Main 2022 (26 Jun Shift 2)

Question

The area of the region bounded by y2=8x and y2=163-x is equal to

Choose an option

Show full solutionCorrect option: C
Correct answer
C16

Step-by-step explanation

Given curves are y2=8x and y2=163-x

⇒8x=48-16x ⇒x=2, so y=±4

Required area =2∫043-y216-y28dy

=23y-y348-y32404=212-6448-6424=16  

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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.