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Find a Cartesian equation for the pursuit path of given parameters

by RoRi

Let Q be a point which moves upward along the positive y-axis and let P be a point which starts at (1,0) and pursues Q according to an equation which stipulates that the distance from P to the y-axis is exactly \frac{1}{2} the distance from Q to the origin. Find the Cartesian equation for the path of pursuit the point P traces out.

Incomplete.

One comment

  1. Anonymous says:

    The phrase “P pursues Q according to an equation which stipulates that the distance from P to the y-axis is exactly 1/2 the distance from Q to the origin” means that x = Y/2, i.e., Y=2x, equation that can be use in y’=(Y-y)/(X-x) for directly finding C2.

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