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

Suppose z and omega are two complex number such that |z + iomega| = 2 . Which of the following is ture about |z| and |omega| ?

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

Consider the two complex numbers z and w, such that w=(z-1)/(z+2)=a+ib, " where " a,b in R " and " i=sqrt(-1). If z=CiStheta , which of the following does hold good?

Consider the two complex numbers z and w, such that w=(z-1)/(z+2)=a+ib, " where " a,b in R " and " i=sqrt(-1). If z=CiStheta , which of the following does hold good?