If and are different complex numbers with | | = 1, then | - 1 - |… - Vidyadip

Question

If $\alpha $ and $\beta $ are different complex numbers with $|\beta | = 1$, then $\left| {\frac{{\beta - \alpha }}{{1 - \overline \alpha \beta }}} \right|$ is equal to

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Answer

c
(c) $\frac{{x{x_1}}}{{18}} + \frac{{y{y_1}}}{{32}} = 1$

$ = \frac{1}{{|\beta |}}\left| {\frac{{\beta - \alpha }}{{(\overline {\beta - \alpha } )}}} \right| = \frac{1}{{|\beta |}} = 1$

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