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JAMB Mathematics 2006 Question 35

Question 35

Loci

If the locus of the points which are equidistant from points P and Q meets line PQ at point N, then PN equals

  1. A.NQ
  2. B.−NQ
  3. C.2NQ
  4. D.−NQ
Show the answer and explanation

Answer: A (NQ)

Explanation

That locus is the perpendicular bisector of PQ, which meets PQ at its midpoint, so PN = NQ.