The ratio of the area enclosed by the locus of the midpoint of PS and area of the ellipse is (P-be any point on the ellipse and S, its focus)

Calculate the area enclosed by shown ellipse

Calculate the area enclosed by shown ellipse

Calculate the area enclosed by shown ellipse

In an ellipse,the ratio of the area of the rectangle formed by the end points of its each latus rectum to that of the ellipse is (1)/(pi) .The eccentricity of the ellipse is

If the area enclosed by the locus of image of the anyone focus of the ellipse (x^(2))/(9)+(y^(2))/(25)=1 with respect to any of the tangent to the ellipse is k pi, where k varepsilon N, then find sum of digits of k.

A circle has same centre as an ellipse and passing through foci S_(1) and S_(2) of the ellipse. The two curves cut in four points. Let P be one of the points. If the Area of /_\PS_(1)S_(2) is 24 and major axis of the ellipse is 14. If the eccentricity of the ellipse is e, then the value of 7e is equal to

The locus pf the image of the focus of the ellipse x^(2)/25+y^(2)/9=1 , with the respect to any of the tangent to the ellipse is

The locus of mid point of tangent intercepted between area of ellipse x^2/a^2 +y^2/b^2 = 1 is