I don't get what to do at all... Find the curve such that the tangent line at any of its points P bisects the angle between the ordinate at P and the line joining P and the origin.
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The word "tangent" of the curve means where is the function describing the curve. I think the question is telling you that this tangent line pass through the origin to the point q=(0.5x,y) for any point P=(x,y).
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