If a number of ellipse (whose axes are x & y axes) be described having the same major axis 2a but a variable minor axis then the tangents at the ends of their latus rectum pass through fixed points which can be -

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

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

The equation of the ellipse with its axes as the coordinate axes respectively and whose major axis =6 and minor axis =4 is

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

The triangle formed by the tangents to a parabola y^(2)=4ax at the ends of the latus rectum and the double ordinate through the focus is

An ellipse with major axis 4 and minor axis 2 touches both the coordinate axes,then locus of its focus is

The area of the quadrilateral formed by the tangents at the end points of latus rectum of the ellipse 5x^(2) +9y^(2)=45 is

Find the eccentricity of the ellipse whose latus rectum is one third of the major axis.

Find the equation of the ellipse whose minor axis is equal to distance between the foci and latus rectum is 10.