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प्रश्न
The point which lies on the perpendicular bisector of the line segment joining the points A(–2, –5) and B(2, 5) is ______.
विकल्प
(0, 0)
(0, 2)
(2, 0)
(–2, 0)
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उत्तर
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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Case Study -2
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