1.
Let S={z=x+iy:z1+iz, z<2, zi=z+i}S = \{z = x + iy : |z - 1 + i| \ge |z|,\ |z| < 2,\ |z - i| = |z + i|\}. Then the set of all values of xx, for which w=2x+iySw = 2x + iy \in S for some yRy \in \mathbb{R}, is: