Question

The distance between the points (a, b) and (−a, −b) is ____________.

Options

• `sqrt(a^2 + b^2)`

• a² + b²

• `2sqrt(a^2 + b^2)`

• `4sqrt(a^2 + b^2)`

Answer 1

The distance between the points (a, b) and (−a, −b) is `underlinebb(2sqrt(a^2 + b^2))`.

Explanation:

D= `sqrt((-a - a)^2 + (-b - b)^2)`

= `sqrt((2a)^2 + (2b)^2)`

= `sqrt(4a^2 + 4b^2)`

= `sqrt(4 (a^2 + b^2)`

= `2sqrt(a^2 + b^2)`