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Mathematics
Problem
Find the radical centre of circles
x
2
+
y
2
+
3
x
+
2
y
+
1
=
0
x^2 + y^2 + 3x + 2y + 1 = 0
x
2
+
y
2
+
3
x
+
2
y
+
1
=
0
,
x
2
+
y
2
−
x
+
6
y
+
5
=
0
x^2 + y^2 - x + 6y + 5 = 0
x
2
+
y
2
−
x
+
6
y
+
5
=
0
and
x
2
+
y
2
+
5
x
−
8
y
+
15
=
0
x^2 + y^2 + 5x - 8y + 15 = 0
x
2
+
y
2
+
5
x
−
8
y
+
15
=
0
. Also, find the equation of the circle cutting them orthogonally.
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