Consider two complex number `z` and `omega` satisfying `|z|= 1` and `|omega-2|+|omega-4|=2`. Then which of the following statements(s) is (are) correct?

If the complex number z and omega satisfies z^(3)+omega^(-7)=0 and z^(5)*omega^(11)=1 then

If z is a complex number satisfying |z-3|<=4 and | omega z-1-omega^(2)|=a (where omega is complex cube root of unity then

If z_1=a+ib and z_2=c+id are complex numbes such that |z_1|=|z_2|=1 and Re(z_1barz_2)=0 then the pair of complex numbers omega_1= a+ic and omega_2=b+id satisfy which of the following relations? (A) |omega_1|=1 (B) |omega_2|=1 (C) Re(omega_1 baromega_2)=0 (D) Im(omega_1baromega_2)=0

Suppose z and omega are two complex number such that |z|leq1 , |omega|leq1 and |z+iomega|=|z-ibar omega|=2 The complex number of omega can be

Let Z and w be two complex number such that |zw|=1 and arg(z)-arg(w)=pi/2 then

Let z and omega be two complex numbers such that |z|lt=1,|omega|lt=1 and |z-iomega|=|z-i bar omega|=2, then z equals (a)1ori (b). ior-i (c). 1or-1 (d). ior-1