# Geo5.2.14

From Example Problems

Find the equations of tangent snd normal to the ellipse at the point whose ordinate is 1.

Let be a point on the ellipse whose ordinate is 1.

Therefore is a point on the ellipse

Hence

Therefore coordinates of P are

The equation of the tangent at is

The equation of the tangent at is

The equation of the normal at is

By simplifying

The equation of the normal at is

By simplifying