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Mathematics
Mathematics
Problem
A circle
S
S
S
cuts the circle
x
2
+
y
2
=
36
x^{2} + y^{2} = 36
x
2
+
y
2
=
36
orthogonally and passes through the point
(
5
,
0
)
(5, 0)
(
5
,
0
)
. If the center of circle
S
S
S
lies on the line
y
=
x
y = x
y
=
x
, determine the equation of circle
S
S
S
.
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