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JAMB - Mathematics (2017 - No. 12)

The locus of a point which is equidistant from the line PQ forms a
circle centre P
pair of parallel lines each opposite to PQ
circle centre Q
perpendicular line to PQ

설명

The locus of points at a fixed distance from the point P is a circle with the given P at its centre.

The locus of points at a fixed distance from the point Q is a circle with the given point Q at its centre

The locus of points equidistant from two points P and Q i.e line PQ is the perpendicular bisector of the segment determined by the points

Hence, The locus of a point which is equidistant from the line PQ forms a perpendicular line to PQ

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