Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let the length of the latus rectum of an ellipse 
, be 30 . If its eccentricity is the maximum value of the function 
, then 
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
D
.
Maximum value 
, so 
.
.
Latus rectum 
.
.
.
──────────────────────────────────────────────────────────────────────────────────────────
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
If the line , where , touches the ellipse at the point P in the first quadrant, then one of the …
Let the line intersect the ellipse at the points A and B. Then the angle made by the line segment…
An ellipse has its center at , one focus at and one vertex at . Then the length of its latus rec…
Let the ellipse and the hyperbola have the same foci. If e and L respectively denote the eccentri…
Let lie on the circle and the point lie on an ellipse with eccentricity . Then the value of is…
Let S and be the foci of the ellipse and be a point on the ellipse in the first quadrant. If , …