4-1.Complex numbers
easy

यदि ${z_1},{z_2} \in C$, तो कोणांक $\left( {\frac{{{{\rm{z}}_{\rm{1}}}}}{{{{{\rm{\bar z}}}_{\rm{2}}}}}} \right) = $

A

कोणांक$\,({z_1}{\overline z _2})$

B

कोणांक $\,({\overline z _1}{z_2})$

C

कोणांक $\,\left( {\frac{{{z_2}}}{{{{\bar z}_1}}}} \right)$

D

कोणांक $\left( {\frac{{{z_1}}}{{{z_2}}}} \right)$

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})$

विकल्प $(c)$  से यही परिणाम प्राप्त होता है।

Standard 11
Mathematics

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