A ray of light through (2, 1) is reflected at a point on th… | CGP Edu

Maths Conic Sections JEE Main 2021 - ( Ellipse ) Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 14, 2026

A ray of light through (2, 1) is reflected at a point 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:

A

11x + 7y + 8 = 0 or 11x + 7y − 15 = 0

B

11x − 7y − 8 = 0 or11x + 7y + 15 = 0

C

2x − 7y + 29 = 0 or 2x − 7y − 7 = 0

D

2x − 7y − 39 = 0 or 2x − 7y − 7 = 0

Text Solution

Verified by Experts

The correct answer is:

Equation of reflected Ray

7y − 7 = 2x + 4

2x − 7y + 11 = 0

Let the equation of other directrix is

2x − 7y + λ

Distance of directrix from Focub

or

Distance from other focus

Distance between two directrix

λ − 11 = 18 or -18

λ = 29 or -7

2x − 7y − 7 = 0 or 2x − 7y + 29 = 0

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