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Mathematics
Mathematics
Problem
Show that the common chord of the circles
x
2
+
y
2
−
6
x
−
4
y
+
9
=
0
x^2 + y^2 - 6x - 4y + 9 = 0
x
2
+
y
2
−
6
x
−
4
y
+
9
=
0
and
x
2
+
y
2
−
8
x
−
6
y
+
23
=
0
x^2 + y^2 - 8x - 6y + 23 = 0
x
2
+
y
2
−
8
x
−
6
y
+
23
=
0
pass through the centre of the second circle and find its length.
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