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2021 Spring LMT Division B Problem 19

Source:

January 22, 2022
geometry

Problem Statement

Kevin is at the point (19,12)(19,12). He wants to walk to a point on the ellipse 9x2+25y2=81009x^2 + 25y^2 = 8100, and then walk to (āˆ’24,0)(-24, 0). Find the shortest length that he has to walk.
Proposed by Kevin Zhao
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