Question
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 are the eccentricities of the ellipse and the hyperbola, respectively, then prove that .
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If a ray of light incident along the line
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is of sign opposite to that of Question Text | 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
are the eccentricities of the ellipse and the hyperbola, respectively, then prove that
. |