I am trying to find the level curves for the function g(x,y)= k = xy/(x^2+y^2).(adsbygoogle = window.adsbygoogle || []).push({});

I get, x^2+y^2-xy/k=0.

I know this is an ellipse, but I do not know how to factor, and find values of k for which the level curves exist.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Level Curves of xy/(x^2+y^2)

**Physics Forums | Science Articles, Homework Help, Discussion**