SOLUTION: A and B are 3 centimeters apart. Find the intersection of loci between the set of points equidistant from A and B and the set of points 1.5 centimeters from A. What is the descript

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Question 1176689: A and B are 3 centimeters apart. Find the intersection of loci between the set of points equidistant from A and B and the set of points 1.5 centimeters from A. What is the description? Math 1113
Answer by ikleyn(52814) About Me  (Show Source):
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A and B are 3 centimeters apart. Find the intersection of loci between the set of points equidistant
from A and B and the set of points 1.5 centimeters from A. What is the description?
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The locus of points equidistant from points A and B id the straight line perpendicular to the segment
connecting this line and passing through the mid-point of this segment.

The set of points 1.5 centimeters from A is the circle with the center at A having the radius of 1.5 centimeters.

The intersection of these two loci is the mid-point of the segment AB.