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


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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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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