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Question
The distance between the points (0, 5) and (–5, 0) is ______.
Options
5
`5sqrt2`
`2sqrt(5)`
10
Solution
The distance between the points (0, 5) and (–5, 0) is `underlinebb(5sqrt2)`.
Explanation:
Distance formula: d2 = (x2 – x1)2 + (y2 – y1)2
According to the question,
We have,
x1 = 0, x2 = – 5
y1 = 5, y2 = 0
d2 = ((– 5) – 0)2 + (0 – 5)2
d = `sqrt((-5 - 0)^2 + (0 - 5)^2`
d = `sqrt((-5)^2 + (-5)^2`
d = `sqrt(25 + 25)`
d = `sqrt(50) = 5sqrt(2)`
So the distance between (0, 5) and (–5, 0) = `5sqrt(2)`
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