Question

Find the distance between the following pairs of points (a, b) and (c, b).

Answer 1

We know that the distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is

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

Here, the given points are $(a,b)$ and $(c,b)$, therefore,

$d=\sqrt{{(x_2-x_1)}^2+{(y_2-y_1)}^2}=\sqrt{{(c-a)}^2+{(b-b)}^2}=\sqrt{{(c-a)}^2+0^2}=\sqrt{{(c-a)}^2}=(c-a)$

Hence, the distance is $(c-a)$ units.