[" Consider an ellipse "(x^(2))/(a)+(y^(2))/(b)=1." If "A_(1)" and "A_(2)" denotes area of ellipse and its director circle respectively,"],[" then- "]

Consider an ellipse (x^(2))/(a)+(y^(2))/(b)=1 If A_(1) and A_(2) denotes area of ellipes are of director circle respectively,them.

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

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

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

If the area of the auxillary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

If the area of the auxilliary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

Consider an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1(a gt b) . A hyperbola has its vertices at the extremities of minor axis of the ellipse and the length of major axis of the ellipse is equal to the distance between the foci of hyperbola. Let e_(1) and e_(2) be the eccentricities of ellipse and hyperbola, respectively. Also, let A_(1) be the area of the quadrilateral fored by joining all the foci and A_(2) be the area of the quadrilateral formed by all the directries. The relation between e_(1) and e_(2) is given by