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Mathematics
Mathematics
Problem
Which of the following equations represents a vertical tangent line to the curve
x
2
+
x
y
+
y
2
=
4
x^{2}+xy+y^{2}=4
x
2
+
x
y
+
y
2
=
4
that lies in the first quadrant? a)
x
=
3
x=\sqrt{3}
x
=
3
b)
y
=
4
3
y=\dfrac{4}{\sqrt{3}}
y
=
3
4
c)
x
=
4
3
x=\dfrac{4}{\sqrt{3}}
x
=
3
4
d)
x
=
2
3
x=\dfrac{2}{\sqrt{3}}
x
=
3
2
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