Discussion
What is the locus of a point which is equidistant from the two points (2, 3) and (6, 5)?
Answer: D
The set of points equidistant from two fixed points is the perpendicular bisector of the segment joining them.
Setting \( PA = PB \) and squaring gives a linear equation in \( x \) and \( y \) - the squared terms cancel, so the locus is a straight line, not a curve.
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