JAMB - Mathematics (2000 - No. 22)

if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

A straight line

a circle

the bisector of angle PXQ

the perpendicular bisector of PQ

A perpendicular bisector always divides a line segment through its midpoint. The term bisect itself means dividing equally or uniformly.