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A satellite following the hyperbolic path shown in the picture lines rapidly at (0,3) and then moves closer and closer to the line y -

A satellite following the hyperbolic path shown in the picture lines rapidly at (0,3) and then moves closer and closer to the line y - 6/5x as it gets farther from the tracking station at origin. Find the equation that describes the path of the satellite if the center of the hyperbola is at (0,0)

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