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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If α\alpha and β\beta are different complex numbers with ∣β∣=1\left| \beta \right| = 1, then ∣β−α1−αˉβ∣\left| {\frac{{\beta - \alpha }}{{1 - \bar \alpha \beta }}} \right| is
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Correct option: D
1
Option D (1) is correct because the expression simplifies to 1 using the property that |β| = 1.

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