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JAMB Mathematics 2011 Paper

Question : 27

Total: 46

The perpendicular bisector of a line XY is the locus of a point

Solution:

Concept:

A perpendicular bisector is the set of all points that are equidistant from the endpoints of a segment.

Explanation:

The perpendicular bisector of segment

XY

is a line that cuts

XY

90^\circ

through its midpoint.

Every point on this line is exactly the same distance from

X

as it is from

Y

Thus, it is the locus of a point equidistant from

X

and

Y

Answer:

D. which is equidistant from the points

X

and

Y

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