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Mathematics
Mathematics
Problem
The foci of an ellipse are
F
1
(
−
5
,
0
)
F_{1}(-5,0)
F
1
(
−
5
,
0
)
and
F
2
(
5
,
0
)
F_{2}(5,0)
F
2
(
5
,
0
)
. A point
P
P
P
satisfies
P
F
1
=
6
PF_{1}=6
P
F
1
=
6
and
P
F
2
=
4
PF_{2}=4
P
F
2
=
4
. Decide, with a brief reason, whether
P
P
P
lies on the ellipse.
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