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Mathematics
Mathematics
Problem
Compare two parabolas:
P
1
P_{1}
P
1
has vertex at
(
0
,
0
)
(0,0)
(
0
,
0
)
and focus at
(
0
,
3
)
(0, 3)
(
0
,
3
)
.
P
2
P_{2}
P
2
is given by the equation
y
2
=
24
x
y^{2} = 24x
y
2
=
24
x
. Determine the ratio of the length of the Latus Rectum of
P
1
P_{1}
P
1
to the length of the Latus Rectum of
P
2
P_{2}
P
2
.
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