Practice with
Compound Locus
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  Answer the following questions pertaining to
compound locus problems.

1.

What is the number of points in a plane two units from a given line and three units from a given point on the line?

Choose:

1
2
3
 4

 

 

2.

Two points A and B are 6 units apart.  How many points are there that are equidistant from both A and B and also 5 units from A?


Explanation

Choose:

0
1
 2
 3

 

 

3.

Parallel lines r and s are 8 meters apart, and A is a point on line s.  How many points are equidistant from r and s and also 4 meters from A? 

Choose:

0
1
 2
 3

 

 

4.

A given point P is 10 units from a given line.  How many points are 3 units from the line and 5 units from point P?


Explanation

Choose:

0
1
 2
 3

 

 

5.

Two points A and B are 7 units apart.  How many points are there that are 12 units from A and also 4 inches from B?

Choose:

0
1
 2
 3

 

 

Long Response Questions

6.

a.  Draw the locus of points equidistant from the  points (4,1) and (4,5) and write the equation for this locus.

b.  Draw the locus of points equidistant from the points (3,2) and
(-4,2) and write the equation for this locus.

c.  Find the number of points that satisfy both conditions stated
in a and b.  Give the coordinates of each point found.


Answer


 

7.

a.  Draw the locus of points 3 units from the y-axis and write the equation for this locus. 

b.  Draw the locus of points 4 units from the origin and write the equation for this locus.

c.  How many points that satisfy both conditions stated
in parts a and b?

  Answer


 

8.

Determine the point(s) in the plane that are equidistant from the points
A(2,6), B(4,4) and C(8,6).

  Answer


 

9.

Write the equation of the locus of points equidistant between
 (-5,-3) and (7,5).

  Answer