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Mathematics
Mathematics
Problem
Find the locus of a point, the sum of squares of whose distances from the planes
x
−
z
=
0
x-z=0
x
−
z
=
0
,
x
−
2
y
+
z
=
0
x-2y+z=0
x
−
2
y
+
z
=
0
and
x
+
y
+
z
=
0
x+y+z=0
x
+
y
+
z
=
0
is 36.
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