Question

The distance of the point P(–6, 8) from the origin is ______.

पर्याय

• 8

• ${\displaystyle 2\sqrt{7}}$

• 10

• 6

Answer 1

The distance of the point P(–6, 8) from the origin is 10.

Explanation:

Distance formula: d² = (x₂ – x₁)² + (y₂ – y₁)²

According to the question,

We have,

x₁ = – 6, x₂ = 0

y₁ = 8, y₂ = 0

d² = [0 – (– 6)]² + [0 – 8]²

d = ${\displaystyle \sqrt{{(0-(-6))}^2+{(0-8)}^2}}$

d = ${\displaystyle \sqrt{{\left(6\right)}^2+{(-8)}^2}}$

d = ${\displaystyle \sqrt{36+64}}$

d = ${\displaystyle \sqrt{100}}$

d = 10

Therefore, the distance between P(–6, 8) and origin O(0, 0) is 10.