Question

Find the distance between the following pairs of points.
A(a, 0), B(0,a)

Answer 1

Let,

$A\left(a,0\right),=A(x_1,y_1)$

$B\left(0,a\right)=B(x_2,y_2)$

Formula to calculate the distance between $AB$ is given by

$AB=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

$=\sqrt{{\left(0-a\right)}^2+{\left(a-0\right)}^2}$

$=\sqrt{a^2+a^2}=\sqrt{2a}$

The distance between the points $A$ and $B$ is $\sqrt{2a}$