JEE Main 2023 — Ellipse Question with Solution
From: JEE Main 2023 (Online) 10th April Morning Shift
Question
Let the ellipse intersect the positive x and y-axes at the points A and B respectively. Let the major axis of E be a diameter of the circle C. Let the line passing through A and B meet the circle C at the point P. If the area of the triangle with vertices A, P and the origin O is , where m and n are coprime, then is equal to :
Choose an option
Show full solutionCorrect option: C
Step-by-step explanation
Now, equation of line is
...........(ii)
Now, point of intersection of line and circle
Now, from figure, we clearly see that vertices and makes a ,
whose area is Base Height
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Ellipse 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 2023, covering the Ellipse 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.