Chapter 14.1, Problem 21PSB

To determine

To find the locus of thepoint P that lie in plane M and are $5$ units from P.

Answer to Problem 21PSB

The circle can have radius of $3$ units.

Explanation of Solution

Given:

The point P that lie in plane M and are $5$ units from P

Calculation:

The following figure shows the locus of the point P that lie in plane M and are $5$ units from P.

  

The point is $5$ units away from points which are on the plane and the $4$ units above the plane, in this way there can be an infinite number of $3-4-5$ right triangles that can trace out a circle on the plane.

The circle can have radius of $3$ units.