1.
For α,β,zC\alpha, \beta, z \in \mathbb{C} and λ>1\lambda > 1, if λ21\sqrt{\lambda^2 - 1} is the radius of the circle zα2+zβ2=λ2|z - \alpha|^2 + |z - \beta|^2 = \lambda^2, then αβ|\alpha - \beta| is equal to: