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4-1.Complex numbers
easy
સમીકરણ $\left( {\frac{{3 - 4ix}}{{3 + 4ix}}} \right) = $ $\alpha - i\beta \,(\alpha ,\beta \,$વાસ્તવિક છે ) નું સમાધાન કરે તેવી $x$ ની કિમત મેળવો.
A
${\alpha ^2} - {\beta ^2} = - 1$
B
${\alpha ^2} - {\beta ^2} = 1$
C
${\alpha ^2} + {\beta ^2} = 1$
D
${\alpha ^2} - {\beta ^2} = 2$
Solution
(c) $\alpha – i\beta = \frac{{3 – 4xi}}{{3 + 4xi}}$. Taking modulus and squaring on both sides, ${\alpha ^2} + {\beta ^2} = 1$.
Standard 11
Mathematics
