Question: A comet wraps around a star in a hyperbolic trajectory. In some coordinate system, the point at which the comet is closest to the star

A comet wraps around a star in a hyperbolic trajectory. In some coordinate system, the point at which the comet is closest to the star is (3, 0). A very long time before reaching the star, the comet is traveling along the line 2 y: Elm3i: and a very long time after leaving the star, the comet is traveling along the line 2 y: l$ 3). Find the equation of the hyperbola describing this comet's trajectory

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