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JAMB Mathematics 2004 Question 30

Question 30

Loci

The locus of a point which is 5cm from the line LM is a

  1. A.pair of lines on opposite sides of LM and parallel to it, each distance 5cm from LM
  2. B.line parallel to LM and 5cm from LM
  3. C.pair of parallel lines on one side of LM and parallel to LM
  4. D.line distance 10cm from LM and parallel to LM
Show the answer and explanation

Answer: A (pair of lines on opposite sides of LM and parallel to it, each distance 5cm from LM)

Explanation

Points 5cm from a line can be on either side of it, giving two parallel lines, one on each side.