If |z-(4 + 3i) |=1, then find the complex number z for each of the following cases: (i) |z| is ...

Find the complex number z for which |z| = z + 1 + 2i.

Find the complex number z for which |z+1| = z + 2(1 + i) .

solve z+2=(1)/(4-3i), where z is a complex number

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

The complex number z which satisfies the condition |(i +z)/(i-z)|=1 lies on:

If |z-3i| ltsqrt5 then prove that the complex number z also satisfies the inequality |i(z+1)+1| lt2sqrt5 .

If Re((z-1)/(z+1))=0 where z=x+iy is a complex number,then which one of the following is correct? (a) z=1+i(b)|z|=2 (c) z=1-i

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