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प्रश्न
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.
उत्तर
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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Solution :
Suppose, (–4, 2) = (x1, y1) and (6, 2) = (x2, y2) and co-ordinates of P are (x, y).
∴ According to the midpoint theorem,
x = `(x_1 + x_2)/2 = (square + 6)/2 = square/2 = square`
y = `(y_1 + y_2)/2 = (2 + square)/2 = 4/2 = square`
∴ Co-ordinates of midpoint P are `square`.
