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Find the two horizontal and two vertical tangent lines of the equation x^2+xy+y^2=9.
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Find the two horizontal and two vertical tangent lines of the equation x^2+xy+y^2=9.

User Symara
by
8.5k points

1 Answer

3 votes
Differentiating w.r.t y,
We get,

2 x (d x/d y) + y (d x/d y) + x + 2 y = 0

Put
d x/d y = 0

The equation becomes:
x=2 y

substituting into main equation

We, get

3 y^2 =9

y= √3

x = ± 2√3
User Yue Zhang
by
8.0k points
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