Question

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

(7 , -7) and (2 , 5)

Answer 1

A (7 , -7) , B (2 , 5)

AB = `sqrt (("x"_2 - "x"_1)^2 + ("y"_2 - "y"_1)^2)`

`= sqrt ((2 - 7)^2 + (5 + 7)^2)`

`= sqrt (25 + 144)`

`= sqrt 169` = 13 units .