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Mathematics
Mathematics
Problem
A point
P
(
x
,
y
)
P(x, y)
P
(
x
,
y
)
moves such that its distance from the point
S
(
0
,
4
)
S(0, 4)
S
(
0
,
4
)
is exactly
2
\sqrt{2}
2
times its perpendicular distance from the line
y
=
1
y = 1
y
=
1
. Identify the conic section and find the distance between its two directrices.
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