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Mathematics
Problem
For the circle
x
2
+
y
2
−
4
x
+
2
y
=
0
x^{2}+y^{2}-4x+2y=0
x
2
+
y
2
−
4
x
+
2
y
=
0
, which of the following points on the circle has a horizontal tangent? a)
(
2
+
5
,
−
1
)
(2+\sqrt{5},\,-1)
(
2
+
5
,
−
1
)
b)
(
0
,
0
)
(0,\,0)
(
0
,
0
)
c)
(
2
,
−
1
+
5
)
(2,\,-1+\sqrt{5})
(
2
,
−
1
+
5
)
d)
(
2
,
−
1
)
(2,\,-1)
(
2
,
−
1
)
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