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. \(\left( {\frac{{\sqrt 3 }}{4}{\rm{m}},\frac{5}{{12}}{\rm{m}}} \right)\)
• B. \(\left( {\frac{7}{{12}}{\rm{m}},\frac{{\sqrt 3 }}{8}{\rm{m}}} \right)\)
• C. \(\left( {\frac{7}{{12}}{\rm{m}},\frac{{\sqrt 3 }}{4}{\rm{m}}} \right)\)
• D. \(\left( {\frac{{\sqrt 3 }}{8}{\rm{m}},\frac{7}{{12}}{\rm{m}}} \right)\)