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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32720)