For α, β, z ∈ ℂ and λ > 1, if √(λ - 1) is the radius of the circl… | JEE Main 2023 Mathematics PYQ

NVAMediumJEE Main 2023 · 6 April, Shift 2Complex Numbers Basics

For $\alpha, \beta, z \in \mathbb{C}$ and $\lambda > 1$ , if $\sqrt{\lambda - 1}$ is the radius of the circle $|z - \alpha|^2 + |z - \beta|^2 = 2\lambda$ , then $|\alpha - \beta|$ is equal to _____ :

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