1.
Let the curve z(1+i)+zˉ(1i)=4z(1 + i) + \bar{z}(1 - i) = 4, zCz \in \mathbb{C}, divide the region z3212\left|z - \dfrac{3}{2}\right| \leq \dfrac{1}{2} into two parts of areas α\alpha and β\beta. Then αβ\alpha - \beta equals: