Question 315263
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If it has an *[tex \LARGE x^2] term OR a *[tex \LARGE y^2] term but NOT both, then it is a parabola.


If it has both *[tex \LARGE x^2] and *[tex \LARGE y^2] terms AND...


... the coefficients on the *[tex \LARGE x^2] and *[tex \LARGE y^2] terms are equal, you have a circle.


... the coefficients on the *[tex \LARGE x^2] and *[tex \LARGE y^2] terms are not equal, but the signs are the same (i.e. both plus or both minus) you have an ellipse.


... the coefficients on the *[tex \LARGE x^2] and *[tex \LARGE y^2] terms are not equal, and the signs are different, you have a hyperbola.


The example given is a parabola.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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