The ratio of any triangle PQR inscribed in an ellipse `x^2/a^2+y^2/b^2=1` and that of triangle formed by the corresponding points on the auxilliary circle is `b/a`.

The ratio of the area of triangle inscribed in ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 to that of triangle formed by the corresponding points on the auxiliary circle is 0.5. Then,find the eccentricity of the ellipse.(A) (1)/(2) (B) (sqrt(3))/(2) (C) (1)/(sqrt(2))(D)(1)/(sqrt(3))

Show that the area of triangle inscribed in an ellipse bears a constant ratio to the area of thetriangle formed by joining points on the auxiliary circle corresponding to the vertices of the firsttriangle.

The area of an equilateral triangle inscribed in the circle x^(2)+y^(2)-2x=0 is

Maximum area of an isosceles triangle inscribed in the ellipse (y^2)/(a^(2))+(x^2)/(b^(2))=1 whose one vertex is at end of major axis

A isosceles triangle with each base angle equal to 30^(@) is inscribed in the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 If the base of the triangle coincides with the major axis of the ellipse,then find its eccentricity

The minimum area of triangle formed by tangents to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and the coordinateaxes is