The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-3, 0), then find the distance of point B from the origin.

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Solution

The perpendicular bisector bisects the line AB at (0, 0).

Given point A (-3, 0) lies on the negative side of the origin so point B lies on the positive side of the origin with coordinates, (3, 0).

Hence, the distance from the y-axis on either side of the origin should be same, i.e., 3 units.

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The perpendicular bisector of a line segment AB passes through the origin. If the coordinates of A are (-3, 0), then find the distance of point B from the origin.

The perpendicular bisector bisects the line AB at (0, 0). Given point A (-3, 0) lies on the negative side of the origin so point B lies on the positive side of the origin with coordinates, (3, 0). Hence, the distance from the y-axis on either side of the origin should be same, i.e., 3 units.

The perpendicular bisector bisects the line AB at (0, 0).

Given point A (-3, 0) lies on the negative side of the origin so point B lies on the positive side of the origin with coordinates, (3, 0).

Hence, the distance from the y-axis on either side of the origin should be same, i.e., 3 units.