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 ends of latus rectum of an ellipse intersect on the major axis.

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

The tangent at the extrremities of the latus rectum pass through the corresponding foot of the directrix on the major axis.

Show that the tangents at the extremities of any focal chord of a parabola intersect at right angles at the directrix.

Show that the tangents at the extremities of any focal chord of a parabola intersect at right angles at the directrix.

Show that the locus of the point of intersection of the tangents at the extremities of any focal chord of an ellipse is the directrix corresponding to the focus.

In Q.(13) length of the latus rectum of the ellipse is

The normals at the extremities of the latus rectum of the parabola intersects the axis at an angle of

If lines 2x+3y=10 and 2x-3y=10 are tangents at the extremities of a latus rectum of an ellipse, whose centre is origin, then the length of the latus rectum is :