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What is this Graph?

Source: 1964 AHSME Problem 2

September 12, 2012
conicsparabolaellipseAMC

Problem Statement

The graph of x24y2=0x^2-4y^2=0 is:
<spanclass=latexbold>(A)</span> a parabola<spanclass=latexbold>(B)</span> an ellipse<spanclass=latexbold>(C)</span> a pair of straight lines<spanclass=latexbold>(D)</span> a point<spanclass=latexbold>(E)</span> none of these{{ <span class='latex-bold'>(A)</span>\ \text{a parabola} \qquad<span class='latex-bold'>(B)</span>\ \text{an ellipse} \qquad<span class='latex-bold'>(C)</span>\ \text{a pair of straight lines} \qquad<span class='latex-bold'>(D)</span>\ \text{a point} }\qquad<span class='latex-bold'>(E)</span>\ \text{none of these} }