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: 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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