Question

Find the distance between the following pairs of point in the coordinate plane :

(4 , 1) and (-4 , 5)

Answer 1

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.