JEE Main 2026 — Area Under Curves Question with Solution
JEE Main 2026 (21 January Shift 1)
Question
The area of the region, inside the ellipse and outside the region bounded by the curves and , is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D2()
Step-by-step explanation
Ellipse: with , . Area .
Curves and intersect at , forming a rhombus with vertices , , , .
Vertices lie on ellipse; are inside ellipse.
Area of rhombus .
Required area .
Curves and intersect at , forming a rhombus with vertices , , , .
Vertices lie on ellipse; are inside ellipse.
Area of rhombus .
Required area .
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Area Under Curves chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
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.