Normal to ellipse and hyperbola

Problems based on Tangent to ellipse and hyperbola

Nomenclature of ellipse and hyperbola

Nomenclature of ellipse and hyperbola

Highlights on ellipse and hyperbola

Problems based on Nomenclature of ellipse and hyperbola

Introduction to Ellipse and Hyperbola

Tangents of ellipse and hyperbola

Suppose an ellipse and a hyperbola have the same pair of foci on the x -axis with centres at the origin and they intersect at (2,2) . If the eccentricity of the ellipse is (1)/(2) , then the eccentricity of the hyperbola, is

An ellipse and a hyperbola are confocal (have the same focus) and the conjugate axis of the hyperbola is equal to the minor axis of the ellipse.If e_(1) and e_(2) are the eccentricities of the ellipse and the hyperbola,respectively, then prove that (1)/(e_(1)^(2))+(1)/(e_(2)^(2))=2