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An ellipse uses addition and a hyperbola uses subtraction.

Ellipse: x2/a + y2/b = 1

Hyperbola: x2/a - y2/b = 1

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What is the major difference between the equation for a hyperbola and for an ellipse?

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The major difference between the equation for a hyperbola and for an ellipse is the operation performed?

Both the ellipse and the hyperbola has an x squared and a y squared term. In the ellipse, they are both positive. In the hyperbola, one of them is negative. Example: 3x^2 /36 + 5y^2 / 64 = 1 (ellipse) 3x^2 / 36 - 5y^2 / 64 = 1 (hyperbola)


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In contrast, for an ellipse it is the ''sum'' of these distances that is a constant


What is the major difference in the equation of a hyperbola compared to the equation of an ellipse?

The major difference between the equations of a hyperbola and an ellipse lies in the signs of the terms. In the standard form of an ellipse, both squared terms have the same sign (positive), resulting in a bounded shape. In contrast, the standard form of a hyperbola has a difference in signs (one positive and one negative), which results in two separate, unbounded branches. This fundamental difference in sign leads to distinct geometric properties and behaviors of the two conic sections.


What is the major difference between an eclipse and a hyperbola?

The difference, major or not, is that an eclipse and a hyperbola are not related, at all. You might have meant to say "Ellipse". In that case, an ellipse is a closed line shape of which the left and right bouts are symmetrical and the top and bottom bouts are also symmetrical. A hyperbola can never close, and only its left and right parts are symmetrical.


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A hyperbola is another form of a conical section graph like a parabola or ellipse. Its general form is x^2/a - y^2/b = 1.


What happens when you decrease the distance between two foci?

The answer depends on whether they are the foci of an ellipse or a hyperbola.


What is a point that helps define an ellipse parabola and hyperbola?

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