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Question
If A and B are the points (−6, 7) and (−1, −5) respectively, then the distance
2AB is equal to
Options
A. 13
B. 26
C. 169
D. 238
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Solution
The given points are A (−6, 7) and B (−1, −5).
`therefore AB=sqrt((-6-(-1))^2+(7-(-5))2)`
`=sqrt((-6+1)^2+(7+5)^2)`
`=sqrt((-5)^2+(12)^2)`
`=sqrt(25+144)`
`=sqrt169`
`=13`
`therefore 2AB=2xx13=26`
Thus, the distance 2AB is 26 units.
The correct answer is B.
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