Question

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

Options

• 8

• `2sqrt(7)`

• 6

• 10

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 = `sqrt((0 - (-6))^2 + (0 - 8)^2`

d = `sqrt((6)^2 + (-8)^2`

d = `sqrt(36 + 64)`

d = `sqrt(100)`

d = 10

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