Show that the tangents at the ends of a latus rectum of ellipse intersect on the major axis.

Show that the tangents at the ends of latus rectum of an ellipse intersect on the major axis.

Show that the tangents at the extremities of the latus rectum of an ellipse intersect on the corresponding directrix.

Show that the tangents at the extremities of the latus rectum of an ellipse intersect on the corresponding directrix.

Show that the tangents at the extremities of the latus rectum of an ellipse intersect on the corresponding directrix.

(2,4) and (10,10) are the ends of a latus rectum of an ellipse with e=(1)/(2) . The length of the major axis is

The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

Show that the tangent at any point on an ellipse and the tangent at the corresponding point on its auxiliary circle intersect on the major axis.