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

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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

Correct Answer: Option B

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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