Question

find the locus of |z|=5
(pls answer fast . just the method how to solve)

Answer 1

let z be a complex number X+iy

thus |z| =

$\sqrt{ {x}^{2} + {y}^{2} }$

so on squaring

x²+y² = 25 this is a circle having radius 5

and centre (0,0)