BECE Mathematics 2015 Paper

Concept:The locus of a point is the path it traces while moving under a given condition. Here, the point must always stay at equal distances from two fixed points.Explanation:Let the two fixed points be $P$ and $Q$.Consider a moving point $X$ such that $XP = XQ$.This means $X$ is equidistant from both $P$ and $Q$.All such points lie on the line that passes through the midpoint of $PQ$ and is perpendicular to $PQ$.That line is called the perpendicular bisector of the segment $PQ$.Every point on this perpendicular bisector satisfies the condition $XP = XQ$.Hence, the given statement describes a perpendicular bisector, not a circle, an angle bisector, or parallel lines.Answer:B. Perpendicular bisector