The number of complex number `z` satisfying the equations `|z|-4=|z-i|-|z+5i|=0` is

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

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

The number of unimodular complex numbers z satisfying the equation z^(2)+bar(z)=0 is

Find the greatest and the least values of the modulus of complex number z satisfying the equation |z-(4)/(z)|=2

The number of complex numbers z satisfying |z-2-i|=|z-8+i| and |z+3|=1 is

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0

Fid the number of complex numbers which satisfies both the equations |z-1-i|=sqrt(2) and |z+1+i|=2

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

Let z_(1), z_(2) be two complex numbers satisfying the equations |(z-4)/(z-8)|= 1 and |(z-8i)/(z-12)|=(3)/(5) , then sqrt(|z_(1)-z_(2)|) is equal to __________