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Let (x, y) be any point on the parabola $$y^2 = 4x$$. Let P be the point that divides the line segment from (0, 0) to (x, y) in the ratio 1:3. Then the locus of P is
$$x^2 = y$$
$$y^2 = 2x$$
$$y^2 = x$$
$$x^2 = 2y$$
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