Example 5:  If A and B are two points that are 2 units apart, what is the locus of points that are 1 unit from A and 2 units from B?

Solution:  The locus of points that are 1 unit from A is the circle with center A and radius 1.  The locus of points that are 2 units from B is the circle with center B and radius 2.  Therefore, the locus of points that are 1 unit from A and 2 units from B is the intersection of these two circles:

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