Question

If |2z-1|=|z-2|,prove that |z|=1

Answer 1

Answer:

1

Step-by-step explanation:

2z-1=z-2

2z-1=z-22z-1+2=z

2z-1=z-22z-1+2=z2z+1=z

2z-1=z-22z-1+2=z2z+1=z1=2z-z

2z-1=z-22z-1+2=z2z+1=z1=2z-zz=1