Chapter 14.2, Problem 1PSA

a.

To determine

To sketch the locus of points equidistant from two given points and lying on a circle.

Explanation of Solution

The following is the sketch of the locus of points equidistant from two given points and lying on a circle.

  

The locus will be perpendicular bisector of the line segment joining those two points.

b.

To determine

To sketch the locus of points from given distance from Point A and from given distance from Pont B.

Explanation of Solution

The following is the sketchof the locus of points from given distance from Point A and from given distance from Pont B.

  

c.

To determine

To sketch the locus of points on both the graph of $y=5$ and the graph of where $x^2+y^2=k^2,r>0$

Explanation of Solution

The sketch the locus of points on both the graph of $y=5$ and the graph of where $x^2+y^2=k^2,r>0$

  

d.

To determine

To sketch the locus of points equidistant from two parallel lines and lying on third line.

Explanation of Solution

The following is the sketch of the locus of equidistant from two parallel lines and lying on third line.

  

e.

To determine

To sketch the locus of points equidistant from two intersecting lines and a fixed distance from their point of intersection.

Explanation of Solution

The following is the sketch of the locus of points equidistant from two intersecting lines and a fixed distance from their point of intersection.

  

f.

To determine

To sketch the locus of points equidistant from the sides of an angle and equidistant from two parallel lines.

Explanation of Solution

The following is the sketch of the locus of points equidistant from the sides of an angle and equidistant from two parallel lines.