Let \( (x, y) \) be any point on the parabola \( y^{2}=4 x \). Let ...

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Let \( (x, y) \) be any point on the parabola \( y^{2}=4 x \). 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:
[IIT-JEE 2011]
P
(a) \( x^{2}=y \)
(b) \( y^{2}=2 x \)
(c) \( y^{2}=x \)
(d) \( x^{2}=2 y \)
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