Class 11

Math

Co-ordinate Geometry

Conic Sections

If the tangent at any point of the ellipse $a_{3}x_{2} +b_{2}y_{2} =1$
makes an angle $α$
with the major axis and an angle $β$
with the focal radius of the point of contact, then show that the eccentricity of the ellipse is given by $e=cosαcosβ $