Three particles of masses 1 kg, 2 kg and 3 kg are placed at the vertices A, B and C of an equiliateral 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