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An ellipse and a hyperbola have their principal axes along the
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An ellipse and a hyperbola have their principal axes along the coordinate axes and have a common foci separated by distance The difference of their focal semi-axes is equal to 4. If the ratio of their eccentricities is 3/7 , find the equation of these curves.

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An ellipse and a hyperbola have their principal axes along the coordinate axes and have a common foci separated by distance The difference of their focal semi-axes is equal to 4. If the ratio of their eccentricities is 3/7 , find the equation of these curves.
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Question Text
An ellipse and a hyperbola have their principal axes along the coordinate axes and have a common foci separated by distance The difference of their focal semi-axes is equal to 4. If the ratio of their eccentricities is 3/7 , find the equation of these curves.