Let $\mathrm{O}=(0,0) ;$ let $\mathrm{A}$ and $\mathrm{B}$ be points respectively on $\mathrm{x}$-axis and $\mathrm{y}$-axis such that $\angle \mathrm{OBA}=60^{\circ}$. Let $\mathrm{D}$ be a point in the first quadrant such that $\mathrm{OAD}$ is an equilateral triangle. Then the slope of $\mathrm{DB}$ is -

• A

  $\sqrt{3}$
• B

  $\sqrt{2}$
• C

  $\frac{1}{\sqrt{2}}$
• Correct answer
  D

  $\frac{1}{\sqrt{3}}$

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