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

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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 the same, i.e., 2 units.
Distance can never be negative. So it will be positive 2 units.

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