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2000 HMMT RMT Team #12

Source:

March 8, 2024
geometryanalytic geometry

Problem Statement

At a dance, Abhinav starts from point (a,0)(a, 0) and moves along the negative xx direction with speed vav_a, while Pei-Hsin starts from (0,6)(0,6) and glides in the negative yy-direction with speed vbv_b. What is the distance of closest approach between the two?
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