Let PQ be a chord of the hyperbola x^2/4-y^2/b^2=1, perpendicular to the x-axis such that OPQ is an equilateral triangle, O being the centre of the…

Let PQ be a chord of the hyperbola $\displaystyle \frac{x^2}{4}-\frac{y^2}{b^2}=1$, 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 $\displaystyle \sqrt{3}$, then the area of the triangle OPQ is