In the diagram shown below, m₁ and m₂ are the masses of two particles and x₁ and x₂ are their respective distances from the origin O. The centre of mass of the system is [J&K CET 2011]

• A

  $\frac{{\mathrm{m}}_1{\mathrm{x}}_2 + {\mathrm{m}}_2{\mathrm{x}}_2}{{\mathrm{m}}_1 + {\mathrm{m}}_2}$

• B

  $\frac{{\mathrm{m}}_1 + {\mathrm{m}}_2}{2}$

• C

  $\frac{{\mathrm{m}}_1{\mathrm{x}}_1 + {\mathrm{m}}_2{\mathrm{x}}_2}{{\mathrm{m}}_1 + {\mathrm{m}}_2}$

• D

  $\frac{{\mathrm{m}}_1{\mathrm{x}}_2 + x_1{\mathrm{x}}_2}{{\mathrm{m}}_1 + {\mathrm{m}}_2}$