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Question
Find the distance between the following pair of points:
(a, 0) and (0, b)
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Solution
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, 0) and (0, b)
The distance between these two points is
`d = sqrt((a - 0)^2 + (0 - b)^2)`
`= sqrt((a)^2 + (-b)^2)`
`d = sqrt(a^2 + b^2)`
Hence the distance is `sqrt(a^2 + b^2)`
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