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Problem
Problem
Let
O
O
O
be the vertex and
Q
Q
Q
be any point on the parabola
x
2
=
8
y
x^2 = 8y
x
2
=
8
y
. If the point
P
P
P
divides the line segment
O
Q
OQ
O
Q
internally in the ratio
1
:
3
1 : 3
1
:
3
, then find the locus of
P
P
P
. a.
x
2
=
y
x^2 = y
x
2
=
y
b.
y
2
=
x
y^2 = x
y
2
=
x
c.
y
2
=
2
x
y^2 = 2x
y
2
=
2
x
d.
x
2
=
2
y
x^2 = 2y
x
2
=
2
y
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