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Question
Find the distance between the following pair of points.
L(5, –8), M(–7, –3)
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Solution
L(5, –8), M(–7, –3)
Let L (x1, y1) and M (x2, y2) be the given points.
∴ x1 = 5, y1 = –8, x2 = –7, y2 = –3
By distance formula,
`"d(L, M)" = sqrt((x_2 – x_1)^2 + (y_2 – y_1)^2)`
`"d(L, M)" = sqrt((–7 – 5)^2 + [–3 – (– 8)]^2)`
`"d(L, M)" = sqrt((–7 – 5)^2 + (–3 + 8)^2)`
`"d(L, M)" = sqrt((–12)^2 + (5)^2)`
`"d(L, M)" = sqrt(144 + 25)`
`"d(L, M)" = sqrt(169)`
d(L, M) = 13 units
∴ The distance between the points L and M is 13 units.
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