Question

Find the distance between the following pair of points:

(a, 0) and (0, b)

Answer 1

The distance d between two points (x1, y1) and (x2, y2) is given by the formula.

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

The two given points are (a, 0) and (0, b)

The distance between these two points is

`d = sqrt((a - 0)^2 + (0 - b)^2)`

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

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

Hence the distance is `sqrt(a^2 + b^2)`