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Find a Cartesian equation for the pursuit path for given parameters

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}{k} times the distance from Q to the origin for k a positive number. Find the Cartesian equation for the path of pursuit the point P traces out.


Incomplete.

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