JAMB - Mathematics (1978 - No. 36)

The locus of all points having a distance of 1 unit from each of the two fixed points a and b is
a line parallel to the line ab
a line perpendicular to the line ab through the mid-point of ab
a circle through a and b with centre at the mid-point of ab
a circle with centre at a and passes through b
a circle in a plane perpendicular to ab and centre at the mid-point of the line ab

Explanation

The locus of all points having a distance of 1 unit from each of the two fixed points. a and b is: a perpendicular to the (ab) through the mid-points ab

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