Question

Help pls i cant solve this question: l 2-iz l = 2
i am supposed to draw the loci of z using that equation.

Answer 1

Maybe this can help you. The locus of |2-z| =2 is a circle of radius 2 and center (2,0i). If you have a complex nummber z and you multiply it by another whoes modulus is 1 , you get another number whoes argument is the summ of the arguments. So zi is a nummber z turned 90º counterclockwise.

Answer 2

the ans is circle with centre coordinates (0,-2) radius 2

Answer 3

try this:
if z= x+iy
\[\sqrt{(2-y)^{2}+x ^{2}} = 2\]

Answer 4

ok i understood thank you for your guidance.

Answer 5

can you "guide " me on my question now?

Answer 6

2º from the top