Question

Find the distance between the following pairs of points:

(a, b), (−a, −b)

Find the distance between the following pairs of points:

(-a, -b) and (a, b)

Answer 1

Distance between (a, b) and (−a, −b) is given by

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

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

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

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