If the distance between the foci of an ellipse is half the length of its latus rectum, then the eccentricity of the ellipse is :
As learnt in concept
Coordinates of foci -
- wherein
For the ellipse
Length of latus rectum of ellipse -
- wherein
For the ellipse
Eccentricity -
- wherein
For the ellipse
Given that
Also
Squaring both sides
for ellipse,
Option 1)
Incorrect option
Option 2)
Incorrect option
Option 3)
Correct option
Option 4)
Incorrect option