## *
Finding the point on an ellipse at which the normal is
furthest from the centre
*

Consider the ellipse defined by the equation
. At any point (*x*,*y*) on this
ellipse there is both a tangent to the ellipse and a normal to the
ellipse. (The normal at a point on a curve is defined to be the line
perpendicular to the tangent.) Find the point on the ellipse whose normal
line is furthest from the centre. (The distance between a point *p* and a
line *L* is defined to be the length of the line segment which is
perpendicular to the line *L* and goes from *p* to *L*.)

## Instructor

Juris Steprans

email address: steprans@mathstat.yorku.ca

Department of Mathematics and Statistics.

Ross 624 South, ext. 33952

York University

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