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4-1.Complex numbers
easy
જો ${z_1},{z_2} \in C$, તો $amp\,\left( {\frac{{{{\rm{z}}_{\rm{1}}}}}{{{{{\rm{\bar z}}}_{\rm{2}}}}}} \right) = $
A
$amp\,({z_1}{\overline z _2})$
B
$amp\,({\overline z _1}{z_2})$
C
$amp\,\left( {\frac{{{z_2}}}{{{{\bar z}_1}}}} \right)$
D
$amp\,\left( {\frac{{{z_1}}}{{{z_2}}}} \right)$
Solution
(c)$arg\left( {\frac{{{z_1}}}{{{{\bar z}_2}}}} \right) = arg\,{z_1} – arg\,({\overline z _2}) = arg\,{z_1} + arg\,{z_2}$$ = arg({z_1}.{z_2})$
Option $(c) $ gives the same result.
Standard 11
Mathematics
