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Choose the Figure

Source: 1985 National High School Mathematics League, Exam One, Problem 4

February 23, 2020

Problem Statement

Which figure can be the images of equations mx+ny2=0mx+ny^2=0 and mx2+ny2=1mx^2+ny^2=1(m,n≠0)(m,n\neq0)? https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvZC9kLzUzZTAwZjU1YzEyN2I3ZDJjNjcwNDQ2ZmQ5MDBmYWZlODAwNGU0LnBuZw==&rn=YWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYWFhYS5wbmc=
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