The complex number `z` ,which has the least modulus and satisfy the condition `|z-2-2i|=1` ,is

The complex number z having least positive argument which satisfy the condition |z-25i|<=15 is

The complex number z which satisfies the condition |(i +z)/(i-z)|=1 lies on:

The complex number z which satisfy the equations |z|=1 and |(z-sqrt(2)(1+i))/(z)|=1 is: (where i=sqrt(-1) )

Ifa complex number z has modulus 1 and argument (pi)/(3), then z^(2)+z

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

Find the complex number Z ,the greatest in absolute value which satisfies |z-2+2i|=1

Find the complex number z for which |z| = z + 1 + 2i.