1.
If z=12−2iz = \dfrac{1}{2} - 2i is such that ∣z+1∣=αz+β(1+i)|z + 1| = \alpha z + \beta(1 + i), i=−1i = \sqrt{-1} and α,β∈R\alpha, \beta \in \mathbb{R}, then α+β\alpha + \beta is equal to: