JEE Main 2023MathematicsEllipseQuestion Based On Basic Definition And Parametric RepresentationmediumMCQ

JEE Main 2023Ellipse 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
Correct answer
C17

Step-by-step explanation

The given equation of the ellipse is



Now, equation of line is

...........(ii)

JEE Main 2023 (Online) 10th April Morning Shift Mathematics - Ellipse Question 28 English Explanation

Now, point of intersection of line and circle



Now, from figure, we clearly see that vertices and makes a ,

whose area is Base Height

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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.