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.

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

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