Question

The distance of the point P(6, −6) from the origin is

(a) 6 units
(b) $\sqrt{6}$ units
(c) $3\sqrt{2}$ units
(d) $6\sqrt{2}$ units

Answer 1

(d) $6\sqrt{2}$ units

Let P(6, - 6) be the given point and O(0, 0) be the origin.
Then, OP = $\sqrt{{\left(6-0\right)}^2+{\left(-6-0\right)}^2}=\sqrt{6^2+{\left(-6\right)}^2}$
= $\sqrt{36+36}=\sqrt{72}=\sqrt{36\times 2}=6\sqrt{2}$ units