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प्रश्न
Find the distance between the following pair of points:
(a+b, b+c) and (a-b, c-b)
उत्तर
The distance d between two points (x1, y1) and (x2, y2) is given by the formula.
`d = sqrt((x_1 - x_2)^2 + (y_1 - y_2)^2)`
The two given points are (a+b, b+c) and (a-b, c-b)
`d = sqrt((a + b - a + b)^2 + (b + c - c + b)^2)`
`= sqrt((2b)^2 + (2b)^2)`
`= sqrt(4b^2 + 4b^2)`
`= sqrt(8b^2)`
`d = 2bsqrt2`
Hence the distance is `2bsqrt(2)` units
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