JEE Main 20236 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002For α,β,z∈C\alpha, \beta, z \in \mathbb{C}α,β,z∈C and λ>1\lambda > 1λ>1, if λ−1\sqrt{\lambda-1}λ−1 is the radius of the circle ∣z−α∣2+∣z−β∣2=2λ|z-\alpha|^{2}+|z-\beta|^{2}=2 \lambda∣z−α∣2+∣z−β∣2=2λ, then ∣α−β∣|\alpha-\beta|∣α−β∣ is equal to __________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
