MathDB
Choose the Figure

Source: 2003 National High School Mathematics League, Exam One, Problem 2

March 16, 2020

Problem Statement

If a,bR,ab0a,b\in\mathbb{R},ab\neq 0, the the possible figure of axy+b=0ax-y+b=0 and bx2+ay2=abbx^2+ay^2=ab is https://services.artofproblemsolving.com/download.php?id=YXR0YWNobWVudHMvYy80Lzc3NGNjZWNiN2ZjYzIxMTJlYWE5NDlmZmQ0ZjE1NzgwNmNhM2JiLnBuZw==&rn=MTI0MjQ1ODUyMTI0MjQyNTI0MjUyNS5wbmc=