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

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

The normal drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the extremity of the latus rectum passes through the extremity of the minor axis.Eccentricity of this ellipse is equal

If a number of ellipse whose major axis is x - axis and the minor axis is y - axis be described having the same length of the major axis as 2a but a variable minor axis, then the tangents at the ends of their latus rectum pass through fixed points whose distance from the centre is equal to

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 :

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

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

Tangent and normal at the extremities of the latus rectum intersectthe x axis at T and G respectively.The coordinates of the middlepoint of T and G are