Question

Find the distance between the points (-1,-1) (1,3)

Answer 1

√20

Explanation:

We can find Distance between two points by following formula:

d=
`\sqrt({x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}`

Given points are (-1,1) and( 1,3).

let
`x_(1) =-1` and
`y_(1) =-1`

`x_(2) =1` and
`y_(2) =3`

Putting above values in formula to find distance,we get

d=
`\sqrt{(1-(-1))^(2)+(3-(-1))^(2)  }`

d=
`\sqrt{(1+1)^(2)+(3+1)^(2)  }`

d=
`\sqrt{(2)^(2)+(4)^(2) }`

d=
`√(4+16)`

d=√20 is the distance between given two points.