Question on: WAEC Mathematics - 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
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Correct Option: C
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
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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