Find the mid point of AB if the co ordinates of A and B are (a, - a) and (- a, a) respectively.
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ind the mid point of AB if the co ordinates of A and B are (a, - a) and (- a, a) respectively.
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Then, M divides AB in the ratio 1 : 1. So, by the section formula, the coordinates of M are (1⋅x2+1⋅x11+1) i.e., (x1+x22). Therefore, the coordinates of the midpoint of AB are (x1+x22, y1+y22). That is the middle point of the line segment joining the points (x1, y1) and (y2, y2) has the coordinates (x1+x22, y1+y22).
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