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Math Help - ellipse

  1. #1
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    ellipse

    So the equation (below) is an ellipse, but how would I tell its an ellipse/hyperbola/parabola just from looking at the equation?
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  2. #2
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    Quote Originally Posted by gomes View Post
    So the equation (below) is an ellipse, but how would I tell its an ellipse/hyperbola/parabola just from looking at the equation?
    Hi gomes,

    If you are given an equation of the form:

    Ax^2+Bxy+Cy^2+Dx+Ey+F=0 with B =0,

    you can determine the type of conic section just by considering the values of A and C.

    If A = 0 or C = 0, but not both, then the conic is a parabola.

    If A = C, then the conic is a circle.

    If A and C have the same sign, but A \neq C, then the conic is an ellipse.

    If A and C have opposite signs, then the conic is a hyperbola.
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  3. #3
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    Quote Originally Posted by gomes View Post
    So the equation (below) is an ellipse, but how would I tell its an ellipse/hyperbola/parabola just from looking at the equation?
    Read this: Ellipses and Hyperbolae

    (Which I'm sure will also be in your classnotes and/or textbook).
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