Chapter 14, Problem 20RP

To determine

To find the locus of points.

Answer to Problem 20RP

The point of intersection of the circle and the parallel lines is the locus.

Explanation of Solution

Given:

The points are $5$ units from the origin and $4$ units from the y-axis.

Calculation:

Thelocus of points that are $5$ units from the origin and $4$ units from the y-axis can be described as follows-

Draw a circle of radius 5 units with the origin as the center.

Draw two lines parallel to y-axis at a distance of 4 units from y-axis. The point of intersection of the circle and the parallel lines is the locus.