An ellipse and a hyperbola have their principal axes along the coordinate axes and have common foci separated by a distance . The distance of their focal semi-axes is equal to 4 . If the ratio of their eccentricities is , find the equation of hyperbola is
(d) : Let the semi-major axis, semi-minor axis and eccentricity of the ellipse be a, b and e respectively and those of hyperbola be and respectively.
Given that
Putting in (1), we get
Putting , we get
The equation of ellipse is and the equation of hyperbola is
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