The area (in square unit) of the triangle formed by the points with polar coordinates $(1,0), \bigg(2,\large\frac{ \pi}{3}\bigg)$ and $\bigg(3,\large\frac{2 \pi}{3}\bigg)$ is

Question

\[\begin {array} {1 1} (a)\;\frac{11 \sqrt 3}{4} & \quad (b)\;\frac{5 \sqrt 3}{4} \\ (c)\;\frac{5}{4} & \quad (d)\;\frac{11}{4} \end {array}\]