Three Particles Are Placed in the Xy Plane

Multiple Choice

Three particles are placed in the xy plane. A 30-g particle is located at (3, 4) m, and a 40-g particle is located at (−2, −2) m. Where must a 20-g particle be placed so that the center of mass of the three-particle system is at the origin?

A) (−3, −1) m
B) (+1, +3) m
C) (+3, −1) m
D) (−1, −3) m
E) (−0.5, −2) m