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Mathematics
Mathematics
Problem
The points
F
1
(
−
4
,
0
)
F_1(-4,0)
F
1
(
−
4
,
0
)
and
F
2
(
4
,
0
)
F_2(4,0)
F
2
(
4
,
0
)
are the foci of a curve. For any point
P
(
x
,
y
)
P(x,y)
P
(
x
,
y
)
on the curve,
∣
P
F
2
−
P
F
1
∣
=
6
|PF_2-PF_1|=6
∣
P
F
2
−
P
F
1
∣
=
6
. Derive the standard equation of the curve.
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