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

Two points A(0,6) and B(0,-2) are given and we need to find the distance between them.

We know that, distance between two points P and Q are calculated by

$\mathrm{PQ}=\sqrt{{\left({\mathrm{x}}_2-{\mathrm{x}}_1\right)}^2+{\left({\mathrm{y}}_2-{\mathrm{y}}_1\right)}^2}$ , where $\left({\mathrm{x}}_1,{\mathrm{y}}_1\right)$are coordinates of point P and $\left({\mathrm{x}}_2,{\mathrm{y}}_2\right)$are coordinates of point Q.

Putting the values of coordinates of points A and B, we get

$\begin{array}{l}\mathrm{AB}=\sqrt{(0-0{)}^2+(-2-0{)}^2}\\ \Rightarrow \mathrm{AB}=\sqrt{(0{)}^2+(-8{)}^2}\\ \Rightarrow \mathrm{AB}=\sqrt{0+64}\\ \Rightarrow \mathrm{AB}=\sqrt{64}\\ \Rightarrow \mathrm{AB}=8\end{array}$

Hence, the distance between the points A(0,6) and B(0,-2) is 8.