Let P(acosθ1,bsinθ1),Q(acosθ2,bsinθ2) and R(acosθ3,bsinθ3) be the vertices of the triangle inscribed in the ellipse
x2
a2
+
y2
b2
=1. The points on the auxiliary circle corresponding tothese points are P′(acosθ1,asinθ1),Q′(acosθ2,asinθ2) and R′(acosθ3,asinθ3) ∴∆1= Area of ∆PQR =