Assertion: ellipse's equation | /r/CapableOf | represent hyperbola
Facets:
value: with asymptotes
type: OTHER
Source sentences:
text: , the equation represents a parabola; if B 2 − 4 AC > 0 , the equation represents a hyperbola; if A + C = 0 , the equation represents a rectangular hyperbola.
text: , the equation represents a hyperbola;
text: The basic observation is that if, by completing the square, the quadratic expression can be reduced to a sum of two squares then the equation defines an ellipse, whereas if it reduces to a difference of two squares then the equation represents a hyperbola:
text: shows that the equation represents a hyperbola centered at the origin, with asymptotes