If \(a=\frac{1-i \sqrt{3}}{2}\), then the correct matching of 'List-I from List-II is List-I List-II (i) \(a \bar{a}\) (A) \(-\frac{\pi}{3}\) (ii) \(\arg \left(\frac{1}{\bar{a}}\right)\) (B) \(-i \sqrt{3}\) (iii) \(a-\bar{a}\) (C) \(2 i / \sqrt{3}\) (iv) \(\operatorname{Im}\left(\frac{4}{3 a}\right)\) (D) 1 (E) \(\pi / 3\) (F) \(\frac{2}{\sqrt{3}}\) correct match is (i) (ii) (iii) (iv)

1. A \(\begin{array}{llll}D & \text { E } & \text { C } & \text { B }\end{array}\)
2. B \(\begin{array}{llll}\mathrm{D} & \mathrm{A} & \mathrm{B} & \mathrm{F}\end{array}\)
3. C \(\begin{array}{llll}\text { F } & \text { E } & \text { B } & \text { C }\end{array}\)
4. D \(\begin{array}{llll}D & A & B & C\end{array}\)