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