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) \[amp\,\left( \frac{{{z}_{1}}}{{{z}_{2}}} \right)\]
Correct Answer: C
Solution :
\[arg\left( \frac{{{z}_{1}}}{{{{\bar{z}}}_{2}}} \right)=arg\,{{z}_{1}}-arg\,({{\overline{z}}_{2}})=arg\,{{z}_{1}}+arg\,{{z}_{2}}\]\[=arg({{z}_{1}}.{{z}_{2}})\] Option (c) gives the same result.
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