Question 553179
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Divide both sides by 6


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x^2\ +\ y^2\ =\ 27]


Has *[tex \Large x^2] term AND *[tex \Large y^2] term:  NOT a parabola


The *[tex \Large x^2] term and the *[tex \Large y^2] term have the same sign:  NOT a hyperbola


The *[tex \Large x^2] term and the *[tex \Large y^2] term have equal coefficients:  NOT an ellipse


Circle.  Center at *[tex \Large (0,0)], radius *[tex \Large \sqrt{27}]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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