Conshider 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*.)

Mon May 5 15:12:05 EDT 1997