1.Let A={z∈C:∣z∣<1}A = \{z \in \mathbb{C} : |z| < 1\}A={z∈C:∣z∣<1} and B={z∈C:arg(z−1)=π3}B = \{z \in \mathbb{C} : \arg(z - 1) = \dfrac{\pi}{3}\}B={z∈C:arg(z−1)=3π}. Then A∩BA \cap BA∩B is:a.A portion of a circle centred at (0,−12)\left(0, -\dfrac{1}{2}\right)(0,−21) that lies in the second and third quadrants onlyb.A portion of a circle centred at (0,−3)(0, -\sqrt{3})(0,−3) that lies in the second quadrant onlyc.An empty setd.A portion of a circle of radius that lies in the third quadrant onlyLogin to continueOnly logged in users canattempt or see the solution.
