Question: Using the fact that |z1 z2| is the distance between two points z1 and z2, give a geometric argument that (a) |z 4i|

Using the fact that |z1 − z2| is the distance between two points z1 and z2, give a geometric argument that
(a) |z − 4i| + |z + 4i| = 10 represents an ellipse whose foci are (0, ± 4);
(b) |z − 1| = |z + i| represents the line through the origin whose slope is −1.

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a Write z 4i z 4 10 as z 4i z 4i 10 to see that this is the locus of all points z such t... View full answer

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