Question on: JAMB Mathematics - 2017
The locus of a point which is equidistant from the line PQ forms a
A
circle centre P
B
pair of parallel lines each opposite to PQ
C
circle centre Q
D
perpendicular line to PQ
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Correct Option: D
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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