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Mathematics
Problem
For the curve
x
2
+
x
y
+
y
2
=
3
x^{2}+xy+y^{2}=3
x
2
+
x
y
+
y
2
=
3
, which of the following points on the curve is a point where
y
y
y
attains a local maximum with respect to
x
x
x
? a)
(
1
,
−
2
)
(1,-2)
(
1
,
−
2
)
b)
(
−
1
,
2
)
(-1,2)
(
−
1
,
2
)
c)
(
−
2
,
1
)
(-2,1)
(
−
2
,
1
)
d)
(
3
,
0
)
(\sqrt{3},0)
(
3
,
0
)
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