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Mathematics
Mathematics
Problem
Prove that the centres of the circles
x
2
+
y
2
=
1
x^2 + y^2 = 1
x
2
+
y
2
=
1
,
x
2
+
y
2
+
6
x
−
2
y
−
1
=
0
x^2 + y^2 + 6x - 2y - 1 = 0
x
2
+
y
2
+
6
x
−
2
y
−
1
=
0
and
x
2
+
y
2
−
12
x
+
4
y
=
1
x^2 + y^2 - 12x + 4y = 1
x
2
+
y
2
−
12
x
+
4
y
=
1
are collinear.
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