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Mathematics

The point which lies on the perpendicular bisector of the line segment joining the points A(-2, -5) and B(2, 5) is

  1. (0, 0)

  2. (0, 2)

  3. (2, 0)

  4. (-2, 0)

Section Formula

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Answer

The point which lies on the perpendicular bisector of the line segment is the mid-point of the line.

Mid-point formula = (x1+x22+y1+y22)\Big(\dfrac{x1 + x2}{2} + \dfrac{y1 + y2}{2}\Big)

Putting values to find mid point of AB,

=(2+22,5+52)=(0,0).= \Big(\dfrac{-2 + 2}{2}, \dfrac{-5 + 5}{2}\Big) = (0, 0).

Hence, Option 1 is the correct option.

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