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Mathematics
Mathematics
Problem
Two circles are defined by the equations
(
x
−
3
)
2
+
y
2
=
25
(x - 3)^{2} + y^{2} = 25
(
x
−
3
)
2
+
y
2
=
25
and
x
2
+
(
y
−
4
)
2
=
25
x^{2} + (y - 4)^{2} = 25
x
2
+
(
y
−
4
)
2
=
25
. Find the length of their common chord.
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