The locus of a point P which is equidistant from two given points S and T is
A
the perpendicular bisector of ST
B
the angle bisector of PS and ST
C
a perpendicular to ST
D
a line parallel to ST
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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.
Source: Myschool Past Questions Archive (Record #3383)