Question

The distance between the points (–6, 9) and (2, 7) is ______.

Options

• `2sqrt(17)`

• `4sqrt(17)`

• `2sqrt(5)`

• `2sqrt(15)`

Answer 1

The distance between the points (–6, 9) and (2, 7) is `underlinebb(2sqrt(17))`.

Explanation:

By using distance formula

Distance = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`   ...[∵ Points are (–6, 9) and (2, 0) so, x₁ = (–6), y₁ = 9, x₂ = 2, y₂ = 7]

= `sqrt([2 - (-6)]^2 + (7 - 9)^2`

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

= `sqrt((8)^2 + 4)`

= `sqrt(64 + 4)`

= `sqrt(68)`

= `2sqrt(17)`