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JAMB Mathematics 2009 Question 30

Question 30

Loci

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is a constant)

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

Answer: B (x − y = 0)

Explanation

Being equidistant from both axes means x = y, i.e. the line x − y = 0 (in the first quadrant).