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Mathematics
Problem
For the curve
2
x
2
+
3
y
2
−
4
x
y
=
12
2x^{2}+3y^{2}-4xy=12
2
x
2
+
3
y
2
−
4
x
y
=
12
, which of the following gives the coordinates in the first quadrant where the tangent line is horizontal? a)
(
3
,
3
)
(\sqrt3,\,\sqrt3)
(
3
,
3
)
b)
(
2
3
,
3
)
(2\sqrt3,\,\sqrt3)
(
2
3
,
3
)
c)
(
2
3
,
2
3
)
(2\sqrt3,\,2\sqrt3)
(
2
3
,
2
3
)
d)
(
3
2
,
2
2
)
(3\sqrt2,\,2\sqrt2)
(
3
2
,
2
2
)
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