JEE Main 2023MathematicsArea Under CurvesHardMCQ

JEE Main 2023Area Under Curves Question with Solution

JEE Main 2023 (13 Apr Shift 2)

Question

The area of the region x,y:x2yx2-4,y1 is

Choose an option

Show full solutionCorrect option: A
Correct answer
A43(42-1)

Step-by-step explanation

The required diagram is:

The shaded region is symmetric about y-axis.

Required area =212ydy+244-ydy

=2y3/23212-2(4-y)3/2324

=43(42-1)

Hence this is the correct option.

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About this question

This is a previous-year question from JEE Main 2023, 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.