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Normal to ellipse and hyperbola...

Normal to ellipse and hyperbola

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Introduction to 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

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