Three particles are placed in the xyplane. 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