Equation of incircle of equilateral triangle ABC where B(2, 0), C(4, 0) and A lies in the fourth quadrant is
(a) \({x^2}+{y^2} - 6x + \frac{2y}{\sqrt3} + 9 = 0\)
(b) \({x^2}+{y^2} - 6x - \frac{2y}{\sqrt3} + 9 = 0\)
(c) \({x^2}+{y^2} + 6x + \frac{2y}{\sqrt3} + 9 = 0\)
(d) None of these