Let f(z) = az where a is a complex constant and |a| = 1.
(a) Show that |f(z1) − f(z2)| = |z1 − z2| for all complex numbers z1 and z2.
(b) Give a geometric interpretation of the result in (a).
(c) What does your answer to (b) tell you about the image of a circle under the complex mapping w = az.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.