I am told that |z1-z2| is the distance between two points z1 and z2 in the complex plane. I have to give a geometric argument that(adsbygoogle = window.adsbygoogle || []).push({});

a) |z-4i| + |z+4i|=10 represents an ellipse whose foci are (0, and positive or negative 4)

b)|z-1|=|z+i| represents the line through the origin whose slope is -1

Now my question is what exactly is a geometric argument, and what is sufficient in showing what I am told to show?

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# Geometric arguments

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