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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Correct Option
b

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