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Mathematics
Problem
Determine all points on the circle
x
2
+
y
2
=
25
x^{2}+y^{2}=25
x
2
+
y
2
=
25
at which the tangent line is horizontal. a)
(
0
,
5
)
(0,5)
(
0
,
5
)
only b)
(
5
,
0
)
(5,0)
(
5
,
0
)
and
(
−
5
,
0
)
(-5,0)
(
−
5
,
0
)
c)
(
0
,
5
)
(0,5)
(
0
,
5
)
and
(
0
,
−
5
)
(0,-5)
(
0
,
−
5
)
d)
(
5
,
0
)
(5,0)
(
5
,
0
)
only
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