Question

The distance of the point (–2, –2) from the origin is __________units.

• A. $\sqrt{9}$
• B. 2$\sqrt{2}$
• C. 8
• D. $\sqrt{2}$

Answer 1

The correct option is B 2$\sqrt{2}$

Let the origin be O and the point A be (-2, -2)

Using distance formula between two points,

${OA}^2$ = ($2^2$ + $2^2$)
$\Rightarrow {OA}^2$ = 8
$\Rightarrow OA=\sqrt{8}$ = $2\sqrt{2}$