Question

The distance between the points (–4, 5) and (–1, 2) is ______.

विकल्प

• 5

• `3sqrt(2)`

• 6

• `2sqrt(3)`

Answer 1

The distance between the points (–4, 5) and (–1, 2) is `underlinebb(3sqrt(2))`.

Explanation:

Distance Formula:

`d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

Given points: (–4, 5) and (–1, 2)

`d = sqrt((-1 - (-4))^2 + (2 - 5)^2`

= `sqrt((3)^2 + (-3)^2`

= `sqrt(9 + 9)`

= `sqrt(18)`

= `3sqrt(2)`