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Mathematics
Problem
Find the equation of the system of circles co-axial with the circles
x
2
+
y
2
+
4
x
+
2
y
+
1
=
0
x^2 + y^2 + 4x + 2y + 1 = 0
x
2
+
y
2
+
4
x
+
2
y
+
1
=
0
and
x
2
+
y
2
−
2
x
+
6
y
−
6
=
0
\text{and } x^2 + y^2 - 2x + 6y - 6 = 0
and
x
2
+
y
2
−
2
x
+
6
y
−
6
=
0
Also, find the equation of that particular circle whose centre lies on the radical axis.
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