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JAMB Mathematics 2012 Question 31

Question 31

Loci

The locus of a point equidistant from the intersection of lines 3x − 7y + 7 = 0 and 4x − 6y + 1 = 0 is a

  1. A.line parallel to 7x + 13y + 8 = 0
  2. B.circle
  3. C.semicircle
  4. D.bisector of the line 7x + 13y + 8 = 0.
Show the answer and explanation

Answer: B (circle)

Explanation

Points at a fixed distance from one point (here the intersection of the two lines) form a circle centred at that point.