The coordinates of all the points on the ellipse for which the area of the \triangle PON is the maximum where O is the origin and N is the foot of the perpendicular from O to the tangent at P, are
where K=
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-
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Let P be the point tangents and normals at P are
and
where
and
are the length of perpendiculars from the origin O to tangent and normal respectively.
for to be maximum denominators should be minimum.
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