Geometry Puzzle – Challenge 60
This is a great math challenge related to geometry for those who ejoy solving math challenges. The answer is also provided.
![Geometry Puzzle – Challenge 60](https://www.effortlessmath.com/wp-content/uploads/2020/04/Challenge-60-512x240.jpg)
Challenge:
![](https://www.effortlessmath.com/wp-content/uploads/2020/04/b.png)
In the figure above, A and B are equidistant from the line n. How many circles can be drawn with their centers on line n and that pass through both A and B?
A- 1
B- 2
C- 3
D- 4
E- More than 4
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![](https://www.effortlessmath.com/wp-content/uploads/2020/04/answer.png)
The correct answer is E.
Since, the distance from any point on line n to the points A and B are equal, then, any point on line n can be the center of a circle. The distance from that point to either A or B could be the radius of a circle.
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