Question

The number of complex numbers z such
that Iz - il = Iz + il = Iz + 1l is​
Explain

Thanks for what homie¿
And I don't know anything about it
I have watched it's 2 movies but forgot
both
:/​

Answer 1

Answer:

z−i∣=∣z−1∣=∣z+1∣

Letz=x+iy

∣x+i(y−1)∣=∣(x−1)+iy∣=∣(x+1)+iy∣

meanspoint(x,y)isequidistant

from(1,0),(−1,0)and(0,1)

andinthiscaseonlyapoint(0,0)

existwhichwillbeequidistantfrom

thesepoints.

henceonly1suchcomplex

numberexists

Answer 2

Answer:

The number of complex numbers z such

that Iz - il = Iz + il = Iz + 1l is

Gummie ヾ(＾-＾)ノ