SOLUTION: How do you identify whether x^2+3y^2-2x+36y+100=0 is a circle, hyperbola, parabola, or an ellipse.

Question 133096: How do you identify whether x^2+3y^2-2x+36y+100=0 is a circle, hyperbola, parabola, or an ellipse.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!

How do you identify whether  is a circle, 
hyperbola, parabola, or an ellipse.


Rule:

For the equation:



1. If A = C, the equation is of a circle
2. If A or C is 0 but not both 0 the equation is of a parabola.
3. If A and C have the same sign, but are not equal, the equation is of an ellipse.
4. If A and C have opposite signs, the equation is of a hyperbola.


Your equation is



Comparing that to



,  (It doesn't matter about , , and )


A and C have the same sign but they are not equal, so the graph is of
an ellipse.

Edwin

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