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.

Area of the greatest rectangle inscribed in the ellipse x^(2)/a^(2) + y^(2)/b^(2) =1 is

Area of the greatest rectangle inscribed in the ellipse (x^(2))/(16)+(y^(2))/(9)=1 is:

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

Find the area of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 .

The point of intersection of the tangents at the point P on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and its corresponding point Q on the auxiliary circle meet on the line (a) x=a/e (b) x=0 (c) y=0 (d) none of these

P and Q are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is an end of the minor axis. If P B Q is an equilateral triangle, then the eccentricity of the ellipse is

The eccentricity of the ellipse 16x^2 + 25y^2 = 400 is