Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 0 - Section 0.7 - The Coordinate Plane - Exercises - Page 38: 20

Answer

The equation is the point of $(0;0)$

Work Step by Step

The equation of a circle with the center of $(0;0)$ and the radius of $r$ is: $x^2+y^2=r^2$ As $r^2=0$ the radius of the circle equals to 0. This means that the circle actually is only a point. The equation is the point of $(0;0)$. (Another approach can be: The sum of two squares can only be 0 if both of the terms equal to 0. This means, that x and y can only be 0, which means the point of $(0;0)$)
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