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Conshider the ellipse defined by the equation tex2html_wrap_inline15. 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.)

Juris Steprans
Mon May 5 15:12:05 EDT 1997