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The locus of all points having a distance of 1 unit from each of the two fixed points a ...

The locus of all points having a distance of 1 unit from each of the two fixed points a and b is

A. a line parallel to the line ab
B. a line perpendicular to the line ab through the mid-point of ab
C. a circle through a and b with centre at the mid-point of ab
D. a circle with centre at a and passes through b
E. a circle in a plane perpendicular to ab and centre at the mid-point of the line ab




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