A satellite following the hyperbolic path shown in the picture turns rapidly at (0, 4) and then moves closer and closer to the line y=(10/3)x as it gets farther from the tracking station at the origin. Find the equation that describes the path of the rocket if the center of the hyperbola is at (0, 0).

Question

A satellite following the hyperbolic path shown in the picture turns rapidly at (0, 4) and then moves closer and closer to the line y=(10/3)x  as it gets farther from the tracking station at the origin. Find the equation that describes the path of the rocket if the center of the hyperbola is at (0, 0).

anonymous · Answer

My two possible answers y^2/(36/25)-x^2(16)=or  y^2/(16)-x^2/(36/25)=1