If z lies on the circle `|z-1|=1`, then `(z-2)/z` is

If z lies on the circle I z 1=1, then 2/z lies on

If z is a point on the circle |z-1|=1, then arg z =

If z ,lies on the circle |z-2i|=2sqrt(2), then the value of arg((z-2)/(z+2)) is the equal to

If z ne 0 lies on the circle |z-1| = 1 and omega = 5//z , then omega lies on

If z_(1),z_(2),……………,z_(n) lie on the circle |z|=R , then |z_(1)+z_(2)+…………….+z_(n)|-R^(2)|1/z_(1)+1/z_(2)+…….+1/z-(n)| is equal to

If |a_n|lt 1 for n=1,2,3,…and 1+a_1z+a_2z^2+…+a_nz^n=0 then z lies (A) on the circle |z|=1/2 (B) inside the circle |z|=1/2 (C) outside the circle |z|= 1/2 (D) on the chord of the circle |z|=1/2 cut off by the line Re[(1+i)z]=0

If the complex numbers z_1, z_2,.......z_n lie on te unit circle |z| = 1 then show that |z_1 + z_2 + ..... + z_n| = |z_1^(-1)1 + z_2^(-1) + ....... + z_n^(-1)|.