- #1
Ed Quanta
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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
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?
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?