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Mathematics
Mathematics
Problem
Find the equation of a circle which passes through the point
(
2
,
0
)
(2, 0)
(
2
,
0
)
and whose centre is the limit of the point of intersection of the lines
3
x
+
5
y
=
1
3x + 5y = 1
3
x
+
5
y
=
1
and
(
2
+
c
)
x
+
5
c
2
y
=
1
(2 + c)x + 5c^2y = 1
(
2
+
c
)
x
+
5
c
2
y
=
1
as
c
→
1
c \to 1
c
→
1
.
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