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Question
Points A and B have co-ordinates (3, 5) and (x, y) respectively. The mid-point of AB is (2, 3). Find the values of x and y.
Solution
Mid-point of AB = (2, 3)
∴ `((3 + x)/2, (5 + y)/2) = (2, 3)`
`=> (3 + x)/2 = 2` and `(5 + y)/2 = 3`
`=>` 3 + x = 4 and 5 + y = 6
`=>` x = 1 and y = 1
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| Sr. No. | First point | Second point | Co-ordinates of first point (x1 , y1) | Co-ordinates of second point (x2 , y2) | `(y_2 - y_2)/(x_2 - x_2)` |
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