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.
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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