Complex Analysis: Theory and Applications · Problem 1.3.6

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · sketch-sets-complex-plane

Problem

Sketch the sets of points determined by the following relations. (a) ∣z+1−2i∣=2|z + 1 - 2i| = 2. (b) Re(z+1)=0\text{Re}(z+1) = 0. (c) ∣z+2i∣≤1|z + 2i| \leq 1. (d) Im(z−2i)>6\text{Im}(z - 2i) > 6.

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