In the complex plane, let $z_{1}=\sqrt{3}+i$ and $\mathrm{z}_{2}=\sqrt{3}-\mathrm{i}$ be two adjacent vertices of an n-sided regular polygon centered at origin. Then $\mathrm{n}$ equals

• A

  4
• Correct answer
  B

  6
• C

  8
• D

  12

Solution

$\frac{2 \pi}{n}=\frac{\pi}{3}$ $n=6$

Hence, the correct answer is option: 'B'.