Let an ellipse with centre `(1, 0)` and latus rectum of length `1/2` have its major axis along x-axis. If its minor axis subtends an angle `60^@` at the foci, then the square of the sum of the lengths of its minor and major axes is equal to ________

If the minor axis of an ellipse subtends an angle of 60^(@) at each focus of the ellipse, then its eccentricity, is

In an ellipse,with centre at the origin,if the difference of the length of major axis and minor axis is 10 and one of the foci is at (0,5sqrt(3)). Then the length of its latus rectum is :

The length of the latus rectum of an ellipse with major axis along x-axis and centre at origin is 12 units, distance between th e focus and the origin to length of minor axis. Find the length of the major axis and minor axis.

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

in an ellipse with centre at the origin , if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at (0,5,sqrt(3)) , then length of its latus rectum is

In an ellipse, its foci and the ends of its major axis are equally spaced. If the length of its semi-minor is 2sqrt(2), them the length of its semi-major axis is

The latus rectum of an ellipse is half of its minor axis. Its eccentricity is :