Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

Solution:

Distance between two points (x₁, y₁) and (x₂, y₂) is written as

= \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

It is given that

(x₁, y₁) = (a, 0)

(x₂, y₂) = (0, 5)

Substituting it in the equation, we get

\(\\=\sqrt{(0-a)^{2}+(5-0)^{2}} \\ \\=\sqrt{a^{2}+5^{2}}\)

Therefore, the expression which represents the distance is √(a² + 5²).

Which expression represents the distance between the points (a, 0) and (0, 5) on a coordinate grid?

Summary:

The expression which represents the distance between the points (a, 0) and (0, 5) on a coordinate grid is √(a² + 5²).