Three particles of masses 1 kg, 2 kg and 3 kg are placed at the vertices A, B and C of an equilateral triangle ABC. If A and B lie at (0,0) and (1,0) m, the co-ordinates of their centre of mass are

Options

A. `((sqrt(3))/(2) m and (7)/(6)m)`
B. `((7)/(6) m and (sqrt(3))/(4)m)`
C. `((7)/(12) m and (sqrt(3))/(4)m)`
D. `((7)/(12) m and (7)/(12)m)`

Answer

C