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Question
The distance between the points (–4, 5) and (–1, 2) is ______.
Options
5
`3sqrt(2)`
6
`2sqrt(3)`
MCQ
Fill in the Blanks
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Solution
The distance between the points (–4, 5) and (–1, 2) is `underlinebb(3sqrt(2))`.
Explanation:
Distance Formula:
`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
Given points: (–4, 5) and (–1, 2)
`d = sqrt((-1 - (-4))^2 + (2 - 5)^2`
= `sqrt((3)^2 + (-3)^2`
= `sqrt(9 + 9)`
= `sqrt(18)`
= `3sqrt(2)`
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