Prove that in an ellipse, the perpendicu...

Prove that in an ellipse, the perpendicular from a focus upon any tangent and the line joining the centre of the ellipse to the point of contact meet on the corresponding directrix.

Similar Questions

Explore conceptually related problems

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

Prove that the product of the perpendicular from the foci on any tangent to an ellipse is equal to the square of the semi-minor axis.

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

Product of perpendiculars drawn from the foci upon any tangent to the ellipse 3x^(2)+4y^(2)=12 is

The product of the perpendiculars drawn from the two foci of an ellipse to the tangent at any point of the ellipse is

Locus of foot of perpendicular from focus upon any tangent is tangent at vertex OR Image of focus in any tangent lies in Directrix