For \alpha, \beta, z \in 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 _______ : [6-Apr-2023 shift 2]

Complex Numbers Part 2

Section: Mathematics

Question : 65 of 97

Marks: +1, -0

For α,β,z∈C and λ>1, if √λ−1 is the radius of the circle |z−α|2+|z−β|2=2λ, then |α−β| is equal to _______ :

[6-Apr-2023 shift 2]

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