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Mathematics
Problem
If the two lines
a
1
x
+
b
1
y
+
c
1
=
0
a_1x + b_1y + c_1 = 0
a
1
x
+
b
1
y
+
c
1
=
0
and
a
2
x
+
b
2
y
+
c
2
=
0
a_2x + b_2y + c_2 = 0
a
2
x
+
b
2
y
+
c
2
=
0
cut the coordinate axes in concyclic points, prove that
a
1
a
2
=
b
1
b
2
a_1a_2 = b_1b_2
a
1
a
2
=
b
1
b
2
and find the equation of the circle.
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