Intersection of Ellipse with Ellipse

Intersection of Ellipse with Circle

Intersection of Ellipse with Hyperbola

Intersection of Ellipse with other curve

Intersection of Ellipse with Parabola

Intersection of Hyperbola with Ellipse

Intersection of Parabola with ellipse

Condition of intersection of line and ellipse

The locus of point of intersection of tangents to the ellipse.If the difference of the eccentric angle of the points is theta

The circle on SS' as diameter intersects the ellipse in real points then

The ellipse E:(x^(2))/(25)+(y^(2))/(16)=1 is inscribed in a rectangle R whose sides are parallel to the coordinate axes. A hyperbola (with same centre and transverse axis same as major axis of ellipse) intersects the ellipse orthogonally and passes through the vertices of the rectangle.Then eccentricity of the hyperbola is