JEE Main 2026 — Area Under Curves Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
The area of the region enclosed between the circles and is:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Circle 1: centre , . Circle 2: centre , . Distance between centres .
Intersection: , giving .
Angle subtended at centre of circle 1 by the chord: .
Segment area .
By symmetry, total intersection area .
Intersection: , giving .
Angle subtended at centre of circle 1 by the chord: .
Segment area .
By symmetry, total intersection area .
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This is a previous-year question from JEE Main 2026, 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.