1.
If z1,z2z_1, z_2 are complex numbers such that Re⁡(z1)=∣z1−1∣\operatorname{Re}(z_1) = |z_1 - 1|, Re⁡(z2)=∣z2−1∣\operatorname{Re}(z_2) = |z_2 - 1| and arg⁡(z1−z2)=π6\arg(z_1 - z_2) = \dfrac{\pi}{6}, then Im⁡(z1+z2)\operatorname{Im}(z_1 + z_2) is equal to: