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If $α, β$ are distinct complex numbers with $|β| = 1,$ then value of $|\frac{β - α}{1 - \bar{α} β}|$ equals

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Correct option is A

β=1⇒ββ¯=1∴ β−α1−α¯β=β−α1−α¯/β¯=β¯(β−α)β¯−α¯=|β||β−α||β¯−α¯|=|β|(1)=1. [∵ |z|=|z¯|]

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If α, β are distinct complex numbers with β=1, then value of β-α1-α¯ β equals

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If $α, β$ are distinct complex numbers with $|β| = 1,$ then value of $|\frac{β - α}{1 - \bar{α} β}|$ equals