Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The eccentricity of the ellipse which meets the straight line x/7 + y/2 = 1 on the axis of x and the straight line x/3 – y/5 = 1 on the axis of y and whose axes lie along the axes of co-ordinate, is-
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
D
We have x/7 + y/2 = 1
∴ the straight line cut the x-axis, at A(7, 0) and the straight line x/3 – y/5 = 1 cut the y-axis at B (0, –5).
Let the equation of the ellipse be x 2 /a 2 + y 2 /b 2 = 1it is given that it passes through A & B. Therefore, a 2 = 49 & b 2 = 25
∴ The eccentricity of the ellipse is e
= 
.
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 latus rectum of an ellipse be equal to half of its minor axis, then its eccentricity is
If distance between the directrices be thrice the distance between the foci, then eccentricity of e…
The equation of the ellipse whose centre is at origin and which passes through the points (–3, 1) a…
If the eccentricity of an ellipse be 5/8 and the distance between its foci be 10, then its latus re…
If the foci and vertices of an ellipse be and , then the minor axis of the ellipse is
The equations of the directrices of the ellipse are