The distance between the points `A(0,6)` and `B(0,-2)` is

Options

A. `8`
B. `6`
C. `4`
D. `2`

Answer

A

Explanation

`:.` Distance between the points `(x_(1),y_(1))and (x_(2),y_(2)),`
`d=sqrt((x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)`
Here, `x_(1)=0,y_(1)=6and x_(2)=0,y_(2)=-2`
`:.` Distance between A(0,6) and B(0,-2),
AB`=sqrt((0-0)^(2)+(-2-6)^(2))`
`=sqrt(0+(-8)^(2))=sqrt(8^(2))=8`