The perpendicular bisector of a line segment AB passes through the origin and (0,1). If the coordinates of A are (-2, 0) then the distance of point B from the origin is ___ units.

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Solution

The perpendicular bisector bisects the line AB at (0, 0). The given point A (-2, 0) lies on the negative side of the origin so point B lies on the positive side of the origin with coordinates, (2, 0). Hence, the distance from the y-axis on either side of the origin should be same, i.e., 2 units.

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