JAMB Mathematics 2007 Question 46

Question 46

Loci

Find the locus of points equidistant from two straight lines y − 5 = 0 and y − 3 = 0.

  1. A.y − 2 = 0
  2. B.y − 4 = 0
  3. C.x − 1 = 0
  4. D.y − 3 = 0
Show the answer and explanation

Answer: B (y − 4 = 0)

Explanation

The lines y = 5 and y = 3 are parallel; points halfway between them lie on y = 4, i.e. y − 4 = 0.