The tangent to the ellipse at a point whose eccentric angle is
cuts the auxiliary circle in points L and M. If LM subtends a right angle at the centre of the ellipse, then its eccentricity at
is
Make homogeneous and put A + B = 0 as the lines joining origin to points of intersection are perpendicular.
Study 40% syllabus and score up to 100% marks in JEE