What is the locus of centers of all circles passing through point A and Point B, which are two fixed points in a plane.

Mathematics

1 answer:

Aleks04 [339]3 years ago

3 0

Answer:

the locus is the perpendicular bisector of the segment

Step-by-step explanation:

The points equidistant from A and B lie on the line that is the perpendicular bisector of segment AB.

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<em>Comment on this geometry</em>

You take advantage of this fact when you construct a circle through 3 points. You construct the perpendicular bisectors of segments between pairs of the points, and locate the center of your circle at their intersection.

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