The eccentric angles of the vertices of a triangle inscribed in the ellipse `x^2/a^2 + y^2/b^2 =1` are `alpha, beta, gamma`, then for the area of this triangle to be greatest, the angle subtended by the two consecutive vertices of the triangle at the centre of the ellipse in degree measure is...

Find the locus of the vertices of equilateral triangle circumscribing the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 .

The eccentric angles of the vertices A, B, C of a triangle inscribed in the ellipse x^2/4^2 + y^2/1^2 = 1 are alpha, beta, gamma . Let P, Q, R be the points on the auxiliary circle corresponding to points A, B, C respectively of the ellipse. (ar(DeltaPQR))/(ar(DeltaABC))= (A) 2 (B) 4 (C) 9 (D) 26

Find the area of the greatest rectangle that can be inscribed in an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 .

Find the area of the greatest rectangle that can be inscribed in an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1

Find the maximum area of an isosceles triangle inscribed in the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with its vertex at one end of the major axis.

Area of the triangle formed by the tangents at the point on the ellipse x^2/a^2+y^2/b^2=1 whose eccentric angles are alpha,beta,gamma is

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 .

If the eccentric angles of two points P and Q on the ellipse x^2/28+y^2/7=1 whose centre is C differ by a right angle then the area of Delta CPQ is

P is a variable on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with AA ' as the major axis. Find the maximum area of triangle A P A '

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.