MCQOPTIONS
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| 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. \[2,\,1+i\sqrt{3}\] | |