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JAMB Mathematics 2001 Question 27

Question 27

Loci

Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.

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

Answer: D (y = 4 ± k)

Explanation

Points at distance k from y = 4 lie on two parallel lines, one k above and one k below: y = 4 ± k.