1.Let S={z=x+iy:∣z−1+i∣≥∣z∣, ∣z∣<2, ∣z−i∣=∣z+i∣}S = \{z = x + iy : |z - 1 + i| \ge |z|,\ |z| < 2,\ |z - i| = |z + i|\}S={z=x+iy:∣z−1+i∣≥∣z∣, ∣z∣<2, ∣z−i∣=∣z+i∣}. Then the set of all values of xxx, for which w=2x+iy∈Sw = 2x + iy \in Sw=2x+iy∈S for some y∈Ry \in \mathbb{R}y∈R, is:a.(−∞,−2](-\infty, -\sqrt{2}](−∞,−2]b.(−∞,−2)(-\infty, -\sqrt{2})(−∞,−2)c.(−∞,−1](-\infty, -1](−∞,−1]d.(−∞,−1)(-\infty, -1)(−∞,−1)Login to continueOnly logged in users canattempt or see the solution.