Home
Class 11
MATHS
If the distance between the foci of an e...

If the distance between the foci of an ellipse is half the length of its latus rectum,then the eccentricity of the ellipse is

A

`(1)/(2)`

B

`(2 sqrt2-1)/(2)`

C

`sqrt2-1`

D

`(sqrt2-1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the distance between the foci of an ellipse is 8 and length of latus rectum is 18/5, then the eccentricity of ellipse is:

If the distance between the foci of an ellipse is equal to length of minor axis, then its eccentricity is

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following points lie on it

If distance between foci of an ellipse equals its latus-rectrum , then its eccentricity is

If the length of the eccentricity of an ellipse is (3)/(8) and the distance between the foci is 6 units, then the length of the latus rectum of the ellipse is

If the length of the minor axis of an ellipse is equal to half of the distance between the foci then the eccentricity of the ellipse is

If the distance between the directrices is thrice the distance between the foci, then find eccentricity of the ellipse.