The incentre of the triangle with vertices (1,√3 ), (0, 0) and (2, 0) is :
(A) (1,√3/2) (B) (2/3,1/√3)
(C) (2/3,√3/2) (D) (1,1/√3)

We know that the given triangle is equilateral triangle therefore its incenter and its centroid should be the same the applying the formula of the centroid we get that the coordinates of the incenter are (1,1/3^(1÷2))