JAMB Mathematics 2005 Question 31

Question 31

Loci

Two lines PQ and ST intersect at 75°. The locus of points equidistant from PQ and ST lies on the

  1. A.perpendicular bisector of PQ
  2. B.perpendicular bisector of ST
  3. C.bisector of the angles between lines PQ and ST
  4. D.bisector of the angles between lines PT and QS.
Show the answer and explanation

Answer: C (bisector of the angles between lines PQ and ST)

Explanation

Points equidistant from two intersecting lines lie on the bisectors of the angles between those lines.