Find the distance between the following pairs of points `:(1) (2, 3), (4,1) (ii) (-5,7),(-1,3) (iii) (a,b), (–a, -b)`

Explanation

Suppose the coordinates of point A are `(x_(1),y_(1)` and of point of B are `(x,_(2),y_(2))`
`x_(1)=2,y_(1)=3,x_(2)=4` and `y_(2)=1`
By distance formula
`AB=sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2))`
`=sqrt((4-2)^(2)+(1-3)^(2))`
`=sqrt(2^(2)+(-2)^(2))`
`=sqrt(4+4)`
`=sqrt(8)=2sqrt(2)`
Distance between points A and B is `2sqrt(2)`.