Question 194051
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Both the *[tex \LARGE x^2] and *[tex \LARGE y^2] term coefficients have the same sign, so it is either a circle or an ellipse.  But the coefficients on the *[tex \LARGE x^2] and *[tex \LARGE y^2] terms are unequal, so it is an ellipse.


In summary:


Equal coefficients on *[tex \LARGE x^2] and *[tex \LARGE y^2] means circle.


Unequal coefficients, but the same sign means ellipse.


Opposite signs on the coefficients means hyperbola.


Zero coefficient on either the *[tex \LARGE x^2] and *[tex \LARGE y^2] terms (but NOT both) means parabola.



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