4-1.Complex numbers
medium

જો $\alpha $ અને $\beta $ એ બે ભિન્ન સંકર સંખ્યા છે કે જ્યાં $|\beta | = 1$, તો  $\left| {\frac{{\beta - \alpha }}{{1 - \overline \alpha \beta }}} \right|$ ની કિમત મેળવો.

A

$0$

B

$3$

C

$1$

D

$2$

(IIT-1992)

Solution

(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$

Standard 11
Mathematics

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