Three Particles Are Placed in the Xy Plane

Multiple Choice

Three particles are placed in the xy plane. A 40-g particle is located at (3, 4) m, and a 50-g particle is positioned at (−2, −6) m. Where must a 20-g particle be placed so that the center of mass of this three-particle system is located at the origin?

A) (−1, −3) m
B) (−1, 2) m
C) (−1, 12) m
D) (−1, 7) m
E) (−1, 3) m