If M and N are two fixed points in a plane. Find the locus L...

MATHEMATICS
WAEC 2009

If M and N are two fixed points in a plane. Find the locus L = [P : PM = PN]

  • A. a line equal to MN
  • B. line parallel to MN
  • C. Perpendicular bisector of MN
  • D. A circle centre P, radius MN

Correct Answer: C. Perpendicular bisector of MN

Explanation

Locus L = (P : PM = Pn}

For M and N being two fixed points

Since PM = PN, P is equidistant from Mand N, So L must be the perpendicular bisector of the line MN



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