Prove that the portion of the tangent to an ellipse intercepted between the ellipse and the directrix subtends a right angle at the corresponding focus.

Prove that the portion of the tangent intercepted,between the point of contact and the directrix of the parabola y^(2)= 4ax subtends a right angle at its focus.

Prove that the portion or the tangent intercepted,between the point of contact and the directrix of the parabola y^(2)= 4ax subtends a right angle at its focuc.

The length of tangent between the point of contact and the point where it meets the directrix subtends right angle at corresponding focus.

Statement 1: In the parabola y^2=4a x , the circle drawn the taking the focal radii as diameter touches the y-axis. Statement 2: The portion of the tangent intercepted between the point of contact and directrix subtends an angle of 90^0 at focus.

Statement 1: In the parabola y^2=4a x , the circle drawn the taking the focal radii as diameter touches the y-axis. Statement 2: The portion of the tangent intercepted between the point of contact and directrix subtends an angle of 90^0 at focus.

Any point P of an ellipse is joined to the extremities of the major axis; prove that the portion of a directrix intercepted by them subtends a right angle at the corresponding focus.

Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre.