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Question
The distance between the points (2, –7) and (–2, –1) is ______.
Options
10
`2sqrt(13)`
8
`4sqrt(13)`
MCQ
Fill in the Blanks
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Solution
The distance between the points (2, –7) and (–2, –1) is `underlinebb(2sqrt(13))`.
Explanation:
Distance between point A and point B
= `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
= `sqrt([(-2) - 2]^2 + [(-1) - (-7)]^2`
= `sqrt((-2 - 2)^2 + (-1 + 7)^2`
= `sqrt((-4)^2 + (6)^2`
= `sqrt(16 + 36)`
= `sqrt(52)`
= `2sqrt(13)`
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