Three particles of masses 50 g, 100 g and 150 g are placed at the vertices of an equilateral triangle of side 1 m (as shown in the figure). The (x, y) coordinates of the centre of mass will be:

A

$$\left(\frac{7}{12}\text{ m},\; \frac{\sqrt{3}}{4}\text{ m}\right)$$

B

$$\left(\frac{7}{12}\text{ m},\; \frac{\sqrt{3}}{8}\text{ m}\right)$$

C

$$\left(\frac{\sqrt{3}}{4}\text{ m},\; \frac{5}{12}\text{ m}\right)$$

D

$$\left(\frac{\sqrt{3}}{8}\text{ m},\; \frac{7}{12}\text{ m}\right)$$