Chapter 14, Problem 3RP

To determine

To find the locus of points that are $3$ units from a given line and $5$ units from a given point on the line.

Answer to Problem 3RP

The two parallel lines.

Explanation of Solution

Given:

The points are $3$ units from a given line and $5$ units from a given point on the line.

Calculation:

The locus of points that are $3$ units from a given line and $5$ units from a given point on the line can be found as follows-

Draw two parallel lines to the given line at a distance of $3$ , then using the given point on the line cut the arcs of $5$ units on new parallel line.