Find the complex number z satisfying the equations `|(z-12)/(z-8i)|=5/3,|(z-4)/(z-8)|=1`

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

Find a complex number z satisfying the equation z+sqrt(2)|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 __________

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

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

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

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

Non-real complex number z satisfying the equation z^(3)+2z^(2)+3z+2=0 are

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