# The distance of the point P(−6, 8) from the origin is

Question:

The distance of the point P(−6, 8) from the origin is

(a) 8

(b) $2 \sqrt{7}$

(c) 6

(d) 10

Solution:

The distance of a point $(x, y)$ from the origin $O(0,0)$ is $\sqrt{x^{2}+y^{2}}$.

Let P(x = −6, y = 8) be the given point. Then

$O P=\sqrt{x^{2}+y^{2}}$

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

$=\sqrt{36+64}$

$=\sqrt{100}=10$

Hence, the correct answer is option (d).