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JAMB Mathematics 2013 Question 30

Question 30

Loci

The locus of the points which is equidistant from the line PQ forms a

  1. A.perpendicular line to PQ
  2. B.circle centre P
  3. C.circle centre Q
  4. D.pair of parallel lines to PQ.
Show the answer and explanation

Answer: D (pair of parallel lines to PQ.)

Explanation

All points a fixed distance from a straight line lie on two lines parallel to it, one on each side. So the locus is a pair of parallel lines to PQ.