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Mathematics
Mathematics
Problem
Find the equations of the two circles which intersect the circles
x
2
+
y
2
−
6
y
+
1
=
0
and
x
2
+
y
2
−
4
y
+
1
=
0
x^2 + y^2 - 6y + 1 = 0 \text{ and } x^2 + y^2 - 4y + 1 = 0
x
2
+
y
2
−
6
y
+
1
=
0
and
x
2
+
y
2
−
4
y
+
1
=
0
orthogonally and touch the line
3
x
+
4
y
+
5
=
0
3x + 4y + 5 = 0
3
x
+
4
y
+
5
=
0
.
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