Let PQ be a chord of the hyperbola $$\frac{x^{2}}{4}-\frac{y^{2}}{b^{2}}=1$$, perpendicular to the x-axis

such that OPQ is an equilateral triangle, O being the centre of the hyperbola. If the eccentricity of the hyperbola is $$\sqrt{3}.$$ then the area of the triangle OPQ is

A

$$\frac{9}{5}$$

B

$$\frac{8\sqrt{3}}{5}$$

C

$$2\sqrt{3}$$

D

$$\frac{11}{5}$$