Question

The distance between the points $(6,4)$ and $(8,6)$ is

• A. $3\sqrt{2}$
• B. $2\sqrt{2}$
• C. $4\sqrt{2}$
• D. $\sqrt{2}$

Answer 1

Answer: (B)

$2\sqrt{2}$

As we know that distance $\left(d\right)$ between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given as-

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}$

Therefore,

Distance between the points $(6,4)$ and $(8,6)$ is-

$d=\sqrt{{(8-6)}^2+{(6-4)}^2}$

$\Rightarrow d=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}$