Question 467310
a. 12x^2 = 29y^2 - y + 39
b. 12x^2 - 29y = x + 39
c. 29y^2 + 12x^2 = x +39
d. 12y^2 + 29y = 39 - 12x^2
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Get the x^2 and y^2 terms on the same side, then check them.
a. 12x^2 - 29y^2 = - y + 39
Hyperbola, the square terms are different signs.
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b. 12x^2 - 29y = x + 39
Parabola, only one x has a squared term
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c. 29y^2 + 12x^2 = x +39
Ellipse, the squared terms have the same sign, but different coefficients.
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d. 12y^2 + 29y - 39 + 12x^2 = 0
Circle, same sign, same coefficients.
A circle is actually a special case of ellipse, btw.