If z is a complex number satisfying the relation `|z+ 1|=z+2(1+i)`, then z is

If z is a complex number satisfying the relation ∣z+1∣=z+2(1+i) then z is

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

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

If z_1, z_2 are two complex numbers satisfying the equation |(z_1 +z_2)/(z_1 -z_2)|=1 , then z_1/z_2 is a number which is :

If a complex number z satisfies the relation z^2+z^(-2)=2 , then the locus of z 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.

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

If a complex number z satisfies z + sqrt(2) |z + 1| + i=0 , then |z| is equal to :