The number of complex numbers `z` ,satisfying the equations `∣z∣−4=∣z−i∣−∣z+5i∣=0`, is

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

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

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

Find the non-zero complex number z satisfying z =i z^2dot

Number of imaginary complex numbers satisfying the equation, z^2=bar(z)2^(1-|z|) is

Find the non-zero complex numbers z satisfying barz =i z^2dot

The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

Find the greatest value of the moduli of complex numbers z satisfying the equation |z-(4)/(z)|=2 . What is the minimum value ?

Find the number of complex numbers which satisfies both the equations |z-1-i|=sqrt(2)a n d|z+1+i|=2.