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For The Mathematically Inclined

Anil Saigal

Problem 1:
What is the maximum number of intersections between 4 lines and a circle?

Problem 2:
Let ABCD be a square with side length 4. Points E, F, G, H are chosen on sides AB, BC, CD, DA such that EFGH is a square. What is the minimum value of the area of EFGH?


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