1.

If \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\]be three non-zero complex number, such that \[{{z}_{2}}\ne {{z}_{1}},a=|{{z}_{1}}|,b=|{{z}_{2}}|\] and \[c=|{{z}_{3}}|\] suppose that \[\left| \begin{matrix}    a & b & c  \\    b & c & a  \\    c & a & b  \\ \end{matrix} \right|=0\], then  \[arg\left( \frac{{{z}_{3}}}{{{z}_{2}}} \right)\] is equal to

A. \[arg{{\left( \frac{{{z}_{2}}-{{z}_{1}}}{{{z}_{3}}-{{z}_{1}}} \right)}^{2}}\]
B. \[arg\left( \frac{{{z}_{2}}-{{z}_{1}}}{{{z}_{3}}-{{z}_{1}}} \right)\]
C. \[arg{{\left( \frac{{{z}_{3}}-{{z}_{1}}}{{{z}_{2}}-{{z}_{1}}} \right)}^{2}}\]
D. \[arg\left( \frac{{{z}_{3}}-{{z}_{1}}}{{{z}_{2}}-{{z}_{1}}} \right)\]
Answer» D. \[arg\left( \frac{{{z}_{3}}-{{z}_{1}}}{{{z}_{2}}-{{z}_{1}}} \right)\]


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