If and are different complex numbers with

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

11. If α\alpha and β\beta are different complex numbers with ∣β∣=1|\beta|=1, then find ∣β−α1−αˉβ∣\left|\frac{\beta-\alpha}{1-\bar{\alpha} \beta}\right|.

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