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Problems
Mathematics
Mathematics
Problem
Show that the plane
2
x
−
2
y
+
z
+
12
=
0
2x - 2y + z + 12 = 0
2
x
−
2
y
+
z
+
12
=
0
touches the sphere
x
2
+
y
2
+
z
2
−
2
x
−
4
y
+
2
z
−
3
=
0
x^2 + y^2 + z^2 - 2x - 4y + 2z - 3 = 0
x
2
+
y
2
+
z
2
−
2
x
−
4
y
+
2
z
−
3
=
0
.
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