Home
Class 12
MATHS
Prove that the sum of the eccentric angl...

Prove that the sum of the eccentric angles of the extremities of a chord, which is drawn in a given direction, is constant, and equal to twice the eccentric angle of the point at which the tangent is parallel to the given direction.

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that the tangents at the extremities of any chord make equal angles with the chord.

Prove that the tangents at the extremities of any chord make equal angles with the chord.

Prove that the tangents at the extermities of any chord makes equal angles with the chord.

Show that the sum of the eccentric angles of any four concyclic points on an ellipse is equal to an even multiple of pi .

Prove that tangents from extremities of any chord makes equal angle with the chord.

If alpha and beta are the eccentric angles of the extremities of a focal chord of an ellipse,then prove that the eccentricity of the ellipse is (sin alpha+sin beta)/(sin(alpha+beta))

The locus of point of intersection of tangents to the ellipse.If the difference of the eccentric angle of the points is theta

The sum of the direction cosines of a line which makes equal angles with the positive direction of co-ordinate axes is

If alpha and beta are the eccentric angles of the extremities of a focal chord of an ellipse, then prove that the eccentricity of the ellipse is (sinalpha+sinbeta)/("sin"(alpha+beta))

If alpha and beta are the eccentric angles of the extremities of a focal chord of an ellipse, then prove that the eccentricity of the ellipse is (sinalpha+sinbeta)/("sin"(alpha+beta))