Chapter 9.1, Problem 6P

To determine

To find: The distance between the given points.

Answer to Problem 6P

The required distance between the given points is $\sqrt{x^2+y^2}$ .

Explanation of Solution

Given information: The points are $\left(x,y\right)and\left(0,0\right)$ .

Formula used: $D=\sqrt{{\left(c-a\right)}^2+{\left(d-b\right)}^2}$

Calculation: Apply the formula to get the distance between the given points,

  $\begin{array}{l}D=\sqrt{{\left(c-a\right)}^2+{\left(d-b\right)}^2}\\ D=\sqrt{\left(x-0\right)+{\left(y-0\right)}^2}\\ D=\sqrt{x^2+y^2}\end{array}$

Hence, the required distance between the given points is $\sqrt{x^2+y^2}$ .