Complex Analysis: Theory and Applications · Problem 1.3.3

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · points-inside-circle

Problem

Which of the following points lie inside the circle

|z - i| = 2

? Explain. (a)

\dfrac{1}{2} + i

. (b)

\sqrt{2} + i(\sqrt{2}+1)

. (c)

2+3i

. (d)

-\dfrac{1}{2} + i\sqrt{3}