1.

If the complex number \[{{z}_{1}},{{z}_{2}}\] the origin form an equilateral triangle then  \[z_{1}^{2}+z_{2}^{2}=\] [IIT 1983]

A. \[{{z}_{1}}\,{{z}_{2}}\]
B.  \[{{z}_{1}}\,\overline{{{z}_{2}}}\]
C. \[\overline{{{z}_{2}}}\,{{z}_{1}}\]
D. \[|{{z}_{1}}{{|}^{2}}=|{{z}_{2}}{{|}^{2}}\]
Answer» B.  \[{{z}_{1}}\,\overline{{{z}_{2}}}\]


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