1.

Suppose  \[{{z}_{1}},\,{{z}_{2}},\,{{z}_{3}}\] are the vertices of an equilateral triangle inscribed in the circle \[|z|\,=2\]. If  \[{{z}_{1}}=1+i\sqrt{3},\] then values of  \[{{z}_{3}}\] and \[{{z}_{2}}\] are respectively [IIT 1994]

A. \[-2,\,1-i\sqrt{3}\]
B. \[2,\,1+i\sqrt{3}\]
C. \[1+i\sqrt{3},-2\]
D. None of these
Answer» B. \[2,\,1+i\sqrt{3}\]


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