The problem statement, all variables and given/known data[/b](adsbygoogle = window.adsbygoogle || []).push({});

Graph the locus represented by the following.

[tex]\left|z+2i\right| + \left|z-2i\right|[/tex] = 6

2. Relevant equations

3. The attempt at a solution

z = x + iy so

z-2i = x + (y-2)i and z+2i = x + (y-2)i

So I have:

sqrt(x^2 + (y-2)^2) + sqrt(x^2 + (y+2)^2) = 6

This seems correct but I don't know how to put this in a more manageable form to graph it.

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# Homework Help: Graph Curves in the Complex Plane

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