1.Let C\mathbb{C}C be the set of all complex numbers. Let S1={z∈C:∣z∣≤1}S_1 = \{z \in \mathbb{C} : |z| \le 1\}S1={z∈C:∣z∣≤1} and S2={z∈C:z(1+i)+zˉ(1−i)≥4}S_2 = \{z \in \mathbb{C} : z(1 + i) + \bar{z}(1 - i) \ge 4\}S2={z∈C:z(1+i)+zˉ(1−i)≥4}. Then, the maximum value of ∣z−1z∣\left|z - \dfrac{1}{z}\right|z−z1 for z∈S1∩S2z \in S_1 \cap S_2z∈S1∩S2 is equal to:a.3+223 + 2\sqrt{2}3+22b.5+225 + 2\sqrt{2}5+22c.3+22\sqrt{3 + 2\sqrt{2}}3+22d.5+22\sqrt{5 + 2\sqrt{2}}5+22Login to continueOnly logged in users canattempt or see the solution.
