A tangent to the ellipse meets the ellipse at and

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

A tangent to the ellipse

x^2 + 4y^2 = 4

meets the ellipse

x^2 + 2y^2 = 6

P

and

Q

. Prove that the tangents at

P

and

Q

of the ellipse

x^2 + 2y^2 = 6

are at right angles.