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Question
Find the distance between the following pairs of point in the coordinate plane :
(4 , 1) and (-4 , 5)
Solution
A = (4 , 1) , B = (-4 , 5)
AB = `sqrt (("x"_2 - "x"_1)^2 + ("y"_2 - "y"_1)^2)`
`= sqrt ((-4-4)^2 + (5 - 1)^2)`
`= sqrt (64 + 16)`
`= sqrt 80` = 4`sqrt 5` units.
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