JEE Main 2021 — Ellipse Question with Solution
From: JEE Main 2021 (Online) 27th July Morning Shift
Question
A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes through the point (5, 3). If this reflected ray is the directrix of an ellipse with eccentricity and the distance of the nearer focus from this directrix is , then the equation of the other directrix can be :
Choose an option
Show full solutionCorrect option: C
Correct answer
C2x 7y + 29 = 0 or 2x 7y 7 = 0
Step-by-step explanation
Equation of reflected Ray
Let the equation of other directrix is
= 0
Distance of directrix from focus
or
Distance from other focus
Distance between two directrix =
or 18
or 7
or
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This is a previous-year question from JEE Main 2021, 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.