Let `z` be a complex number satisfying `2z+|z|=2+6i` .Then the imaginary part of `z` is

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

Let z(ne -1) be any complex number such that |z| = 1. Then the imaginary part of (bar(z)(1-z))/(z(1+bar(z))) is : (Here theta = Arg(z))

The complex number z satisfying z+|z|=1+7i then |z|^(2)=

If z is any complex number satisfying |z-3-2i|<=2 then the maximum value of |2z-6+5i| is

Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is minimum, then z is equal to

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

If z is any complex number satisfying |z-3-2i|le 2 , then the maximum value of |2z - 6 + 5 i| is ___

Let z be a complex number such that the imaginary part of z is nonzero and a=z^(2)+z+1 is real.Then a cannot take the value