This is a great math challenge related to geometry for those who ejoy solving math challenges. The answer is also provided.

## Challenge:

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.