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
Correct Answer: Option D
Explanation
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
There is an explanation video available below.