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Question
If A(–6, 7) and B(–1, –5) are two given points then the distance 2AB is ______.
Options
13
26
169
238
MCQ
Fill in the Blanks
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Solution
If A(–6, 7) and B(–1, –5) are two given points then the distance 2AB is 26.
Explanation:
Use the distance formula `d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)`.
For A(–6, 7) and B(–1, –5),
`AB = sqrt((-1 - (-6))^2 + (-5 - 7)^2)`
= `sqrt(5^2 + (-12)^2)`
= `sqrt(169)`
= 13
Therefore, 2AB = 2 × 13 = 26.
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