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o6welliyahircepie
o6welliyahircepie o6welliyahircepie
  • 05-09-2016
  • Mathematics
Answered

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

Verified Answer :

Hussain514 Hussain514
  • 14-09-2016

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

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