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Mathematics
Problem
4. If A and B be the points
(
3
,
4
,
5
)
(3,4,5)
(
3
,
4
,
5
)
and
(
−
1
,
3
,
−
7
)
(-1,3,-7)
(
−
1
,
3
,
−
7
)
, respectively, find the equation of the set of points P such that
P
A
2
+
P
B
2
=
k
2
\mathrm{PA}^{2}+\mathrm{PB}^{2}=k^{2}
PA
2
+
PB
2
=
k
2
, where
k
k
k
is a constant.
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