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A hyperbola having the transverse axis o...

A hyperbola having the transverse axis of length `2sintheta` is confocal with the ellipse `3x^2+4y^2=12` . Then its equation is `x^2cos e c^2theta-y^2sec^2theta=1` `x^2sec^2theta-y^2cos e c^2theta=1` `x^2sin^2theta-y^2cos^2theta=1` `x^2cos^2theta-y^2sin^2theta=1`

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