Question

The distance between the points (0, 5) and (–5, 0) is ______.

Options

• 5

• `5sqrt2`

• `2sqrt(5)`

• 10

Answer 1

The distance between the points (0, 5) and (–5, 0) is `underlinebb(5sqrt2)`.

Explanation:

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

According to the question,

We have,

x₁ = 0, x₂ = – 5

y₁ = 5, y₂ = 0

d² = ((– 5) – 0)² + (0 – 5)²

d = `sqrt((-5 - 0)^2 + (0 - 5)^2`

d = `sqrt((-5)^2 + (-5)^2`

d = `sqrt(25 + 25)`

d = `sqrt(50) = 5sqrt(2)`

So the distance between (0, 5) and (–5, 0) = `5sqrt(2)`