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

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

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

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

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

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is (A) 0 (B) 1 (C) 2 (D) 3

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

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