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प्रश्न
Given M is the mid-point of AB, find the co-ordinates of A; if M = (1, 7) and B = (–5, 10).
उत्तर
M is the mid-point of AB.
Let A = (x, y), M = (1, 7) and B = (–5, 10)
∴ `1 = (x - 5)/2`
`=>` x – 5 = 2
∴ `x = 2 + 5 = 7` and `7 = (y + 10)/2`
`=>` y + 10 = 14
∴ y = 14 – 10 = 4
∴ Co-ordinates of A are (7, 4)
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