A point \( P(x, y) \) moves in the \( x y \)-plane such that \( \ma...

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A point \( P(x, y) \) moves in the \( x y \)-plane such that
\( \mathrm{P} \) \( x=a \cos ^{2} \theta \) and \( y=2 a \sin \theta \), where \( \theta \) is a parameter.

W The locus of the point \( P \) is a/an:
(1) Circle
(2) Ellipse
(3) Unbounded parabola
(4) Part of the parabola
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