Mathematics

Mathematics

Problem

Let ADAD and BCBC be two vertical poles at AA and BB respectively on a horizontal ground. If AD=8 mAD=8\text{ m}, BC=11 mBC=11\text{ m} and AB=10 mAB=10\text{ m}; then the distance (in meters) of a point MM on ABAB from the point AA such that MD2+MC2MD^2+MC^2 is minimum is

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