If z is a complex number such that `z+i|z|=ibar(z)+1` ,then `|z|`is -

If z is a complex number such that z+z^(-1)=1, then what is the value of z^(99)+z^(-99) ?

If z is a complex number such that |z+(1)/(z)|=1 show that Re(z)=0 when |z| is the maximum.

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :

find all complex numbers z such that |z -|z+1|| = |z+|z-1||

If z is a complex number satisfying the relation |z+1|=z+2(1+i), then z is

If z is a complex number satisfying the equation |z+i|+|z-i|=8, on the complex plane thenmaximum value of |z| is

Let z be a complex number such that |z| + z = 3 + i (Where i=sqrt(-1)) Then ,|z| is equal to

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

z is a complex number satisfying z^(4)+z^(3)+2z^(2)+z+1=0 , then |z| is equal to