JAMB - Mathematics (2002 - No. 33)
The locus of a point P which is equidistant from two given points S and T is
the perpendicular bisector of ST
the angle bisector of PS and ST
a perpendicular to ST
a line parallel to ST
Explication
The locus of a point P that is equidistant from two points S and T is the perpendicular bisector of the segment ST. This means that every point on this line is the same distance from both S and T, effectively dividing the segment into two equal parts and forming a right angle with it.