1.
z1=a1iz_1 = \frac{a}{1-i}; z2=b2+iz_2 = \frac{b}{2+i}; z3=abiz_3 = a - bi for a,bRa, b \in \mathbb{R}. If z1z2=1z_1 - z_2 = 1 then the centroid of the triangle formed by the points z1,z2,z3z_1, z_2, z_3 in the argand's plane is given by