passpadi

2017

Mathematics

67ca00ce0c643c71d77dee1f

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: perpendicular line to PQ

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

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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