Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let the length of the latus rectum of an ellipse
be equal to the length of its semi-major axis. If the radius of its director circle is
and
is its eccentricity, then the length of its latus rectum is
Text Solution
Verified by ExpertsThe correct answer is:
C
Given equation of ellipse
Length of latus rectum 

and equation of director circle is

Since, 

Now 1. 1. 
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The circle touching the coordinate axes with its centre lying on is
Suppose a circle passes through and having its centre at . Then the value of is
For any real number , the point lies on on a/an
The area of the circle passing through the points , is
The ratio of the largest and shortest distances from the point to the circle is
A circle has its centre in the first quadrant and passes through . If this circle makes intercepts…