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JAMB Mathematics 2006 Question 33

Question 33

Loci

What is the locus of points equidistant from the line ax + by + c = 0?

  1. A.A line bx − ay + q = 0
  2. B.A line ax − by + q = 0
  3. C.A line bx + ay + q = 0
  4. D.A line ax + by + q = 0
Show the answer and explanation

Answer: D (A line ax + by + q = 0)

Explanation

Points at a fixed distance from a line lie on lines parallel to it, which have the same x and y coefficients: ax + by + q = 0.