mathcomplex numbers
posted by Rinchansan on .
Sketch the sets of complex numbers in the complex plane that satisfy the following:
a) z1=2
b) z3i=2
c) z5+2i=2
I'm not sure, but are you supposed to rearrange the whole thing to z=a+bi? So, part b would be z=2+3i.

all are circles of radius 2, with center at various numbers.
zc = r has center at c.
z^2 = x^2+y^2
That's why the curves are circles.