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

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KollegeApply · Accepted Answer

The point which lies on the perpendicular bisector of the line segment joining the points A(–2, –5) and B(2, 5) is (0, 0). Explanation: We know that, the perpendicular bisector of the any line segment divides the segment into two equal parts i.e., the perpendicular bisector of the line segment always passes through the mid-point of the line segment. Mid-point of the line segment joining the points A(–2, –5) and B(2, 5) = ((-2 + 2)/2, (-5 + 5)/2) ...`["Since, mid-point of any line segment which passes through the points" (x_1, y_1) "and" (x_2, y_2) = ((x_1 + x_2)/2, (y_1 + y_2)/2)]` = (0, 0) Hence, (0, 0) is the required point lies on the perpendicular bisector of the lines segment.

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