Tangents of ellipse and hyperbola

Problems based on Tangent to ellipse and hyperbola

Nomenclature of ellipse and hyperbola

Highlights on ellipse and hyperbola

Nomenclature of ellipse and hyperbola

Problems based on Nomenclature of ellipse and hyperbola

Let a hyperbola passes through the focus of the ellipse (x^(2))/(25)+(y^(2))/(16)=1 . The transverse and conjugate axes of this hyperbola coincide with the major and minor axes of the given ellipse, also the product of eccentricities of given ellipse and hyperbola is 1, then

An ellipse passes through a focus of the hyperbola x^2/9 - y^2/16 = 1 and its major and minor axes coincide with the transverse and conjugate axes of the hyperbola and the product of eccentricities of ellipse and hyperbola is 1. Foci of the ellipse are (A) (+- 4, 0) (B) (+-3, 0) (C) (+-5, 0) (D) none of these

Consider an ellipse (x^(2))/(36)+(y^(2))/(18)=1 There is a hyperbola whose one asymptotes is major axis of given ellipse.If eccentricity of given ellipse and hyperbola are reciprocal to given other, both have same centre and both touch each other in first and third quadrant..Focus of hyperbola 1 st equal is:

Tangent OF Ellipse