1.Let S1={z∈C:∣z∣≤5}S_1 = \{z \in \mathbb{C} : |z| \le 5\}S1={z∈C:∣z∣≤5}, S2={z∈C:Im (z+i1−3 i)>0}S_2 = \left\{z \in \mathbb{C} : \mathrm{Im}\!\left(\dfrac{z + i}{1 - \sqrt{3}\,i}\right) > 0\right\}S2={z∈C:Im(1−3iz+i)>0}, and S3={z∈C:Re(z)>0}S_3 = \{z \in \mathbb{C} : \mathrm{Re}(z) > 0\}S3={z∈C:Re(z)>0}. Then the area of the region S1∩S2∩S3S_1 \cap S_2 \cap S_3S1∩S2∩S3 is:a.252\dfrac{25}{2}225b.25π25\pi25πc.125125125d.125π2\dfrac{125\pi}{2}2125πLogin to continueOnly logged in users canattempt or see the solution.
