JEE Main 2014MathematicsArea Under CurvesMediumMCQ

JEE Main 2014 — Area Under Curves Question with Solution

JEE Main 2014 (06 Apr)

Question

The area (in sq. unit) of the region described by A=x, y : x2+y2≤1 and y2≤1-x is

Choose an option

Show full solutionCorrect option: C
Correct answer
Cπ2+43

Step-by-step explanation


Area of shaded region = area of semicircle + area of region BCA

=π2+2∫011-x·dx

=π2+2-231-x3/201

=π2-43-1

= π 2 + 4 3  sq. unit

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About this question

This is a previous-year question from JEE Main 2014, 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.