MathDB
graph of equation

Source: LIMIT 2019 CBS1 P4

April 28, 2021
geometryalgebra

Problem Statement

The equation x3y+xy3+xy=0x^3y+xy^3+xy=0 represents <spanclass=latexbold>(A)</span> a circle<span class='latex-bold'>(A)</span>~\text{a circle} <spanclass=latexbold>(B)</span> a circle and a pair of straight lines<span class='latex-bold'>(B)</span>~\text{a circle and a pair of straight lines} <spanclass=latexbold>(C)</span> a rectangular hyperbola<span class='latex-bold'>(C)</span>~\text{a rectangular hyperbola} <spanclass=latexbold>(D)</span> a pair of straight lines<span class='latex-bold'>(D)</span>~\text{a pair of straight lines}