jee-main 2018 Q63

jee-main · India · 16apr Complex Numbers Arithmetic Trigonometric/Polar Form and De Moivre's Theorem
The least positive integer $n$ for which $\left( \frac { 1 + i \sqrt { 3 } } { 1 - i \sqrt { 3 } } \right) ^ { n } = 1$ is
(1) 2
(2) 5
(3) 6
(4) 3 
The least positive integer $n$ for which $\left( \frac { 1 + i \sqrt { 3 } } { 1 - i \sqrt { 3 } } \right) ^ { n } = 1$ is\\
(1) 2\\
(2) 5\\
(3) 6\\
(4) 3
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