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
Correct Answer: 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