Sketch the sets of complex numbers that would satisfy the following equations.

a)z=2
b)|z|=2
c)(5,4)
d)(sqrt2, -sqrt2)

Also, please explain how to do it. Thanks.

Use z = x + yi

Plot on the Cartesian (x,y)-plane

a) Plot (x, y) = (2, 0)
b) Plot √(x^2 + y^2) = 2
c) Plot (x, y) = (5, 4)
d) Plot (x, y) = (√2, -√2)