If the distance between two latus rectum of a ellipse is `4sqrt3` unit and length of minor axis is `4`unit then find its eccentricity.

Let the length of latus rectum of an ellipse with its major axis along x-axis and center at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of the minor axis , then which of the following points lies on it: (a) (4sqrt2, 2sqrt2) (b) (4sqrt3, 2sqrt2) (c) (4sqrt3, 2sqrt3) (d) (4sqrt2, 2sqrt3)

The latus rectum of an ellipse is equal to one-half of its minor axis. The eccentricity of the ellipse is

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

The length of the latus rectum of an ellipse is 8 unit and that of the mojor axis , which lies along the x -axis, is 18 unit. Find its equation in the standard form . Determine the coordinates of the foci and the eqations of its directrices .

If the latus rectum of a hyperbola is equal to half of its transverse axis, then its eccentricity is -

The length of latus rectum of an ellipse is equal to the length of its semi-minor axis . The ratio of lengths of its minor axis and major axis is _

What is the eccentricity of the ellipse whose length of minor axis is equal to the distance between the two foci?

If the length of latus rectum of a rectangular hyperbola is 6 unit, find its equation.

If the angle between the lines joining the end points of minor axis of an elipes with its one focus is pi/2, then the eccentricity of the ellipse is-

Find the eccentricity of the ellipse if the length of minor axis is equal to half the distance between the foci of the ellipse .