Let s be the set of all complex numbers Z satisfying `|z^(2)+z+1|=1`. Then which of the following statements is/are TRUE?

If z complex number satisfying |z-1|=1 then which of the following is correct

Let z be a complex number satisfying |z+16|=4|z+1| . Then

The number of complex numbers satisfying (1 + i)z = i|z|

For a complex number z ,let Re(z) denote the real part of z . Let S be the set of all complex numbers z satisfying z^(4)-|z|^(4)=4iz^(2) ,where i=sqrt(-1) . Then the minimum possible value of |z_(1)-z_(2)|^(2) ,where, z_(1),z_(2) in S with Re(z_(1))>0 and Re(z_(2))<0, is

Find all complex number z satisfying bar(z)+1=iz^(2)+|z|^(2)

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?

The complex number z satisfying the equation |z-i|=|z+1|=1