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Mathematics
Mathematics
Problem
Consider the family of circles passing through the intersection of
x
2
+
y
2
−
2
x
=
0
x^{2} + y^{2} - 2x = 0
x
2
+
y
2
−
2
x
=
0
and
y
=
x
y = x
y
=
x
. Find the equation of the specific circle in this family that passes through the point
(
2
,
1
)
(2, 1)
(
2
,
1
)
.
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