Find the distance between the following pair of points:$(a, 0)$ and $(0, b)$

Given:

The given pair of points is $(a, 0)$ and $(0, b)$.

To do:

We have to find the distance between the given pair of points.

Solution:

We know that,

The distance between two points \( \mathrm{A}\left(x_{1}, y_{1}\right) \) and \( \mathrm{B}\left(x_{2}, y_{2}\right) \) is \( \sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \).

Therefore,

 The distance between the points $(a, 0)$ and $(0, b)$\( =\sqrt{(0-a)^{2}+(b-0)^{2}} \)

\( =\sqrt{(-a)^{2}+(b)^{2}} \)

\( =\sqrt{ a^{2}+ b^{2}} \)

The distance between the given pair of points is $\sqrt{a^2+b^2}$.