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The locus of all points having a distance of 1 unit from each of the…

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