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Find the co-ordinates of the mid-point of the line segment joining the points A(–5,4) and B(7,–8). |
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Answer» We know that the co-ordinates of the mid-point of the line segment joining points (x1, y1) & (x2, y2) is given by \((\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})\) Therefore, the co-ordinates of the mid-point of the line segment joining the points A(– 5, 4) and B(7,-8) is \(\big(\frac{-5+7}{2}, \frac{4+(-8)}{2}\big)\) = \(\big( \frac{2}{2}, \frac{-4}{2} \big)\) = (1,-2) Hence, the mid-point of given line segment is (1,-2). |
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