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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.
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What is the major difference between the equation for a hyperbola and for an ellipse?
ellipse are added hyperbola are subtracted
The major difference between the equation for a hyperbola and for an ellipse is the operation performed The terms in the equation of are added?
hyperbola
The major difference between the equation for a hyperbola and for an ellipse is the operation performed. the terms in the equation of a blank are added?
Ellipse
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)
Explain the difference between the constant of a hyperbola and the constant of an ellipse?
In contrast, for an ellipse it is the ''sum'' of these distances that is a constant
What is the major difference between the equation for a hyperbola and for an ellipse?
ellipse are added hyperbola are subtracted
The major difference between the equation for a hyperbola and for an ellipse is the operation performed The terms in the equation of are added?
hyperbola
What major difference between the equation for a hyperbola and for an ellipse is the operation performed The terms in the equation of an are subtracted?
hyperbola
The major difference between the equation for a hyperbola and for an ellipse is the operation performed. the terms in the equation of a blank are added?
Ellipse
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)
Explain the difference between the constant of a hyperbola and the constant of an ellipse?
In contrast, for an ellipse it is the ''sum'' of these distances that is a constant
What shape has two foci's?
An ellipse, a hyperbola.
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.
Which equation below represents a generic equation suggested by a graph showing a hyperbola?
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 is a point that helps define an ellipse parabola and hyperbola?
focus
What is an eccentric circle?
For Ellipse: The 2 circles made using the the ellipse center as their center, and major and minor axis of the ellipse as the dia.For Hyperbola: 2 Circles with centers at the center of symmetry of the hyperbola and dia as the transverse and conjugate axes of the hyperbolaRead more: eccentric-circles
How do you draw a curved line on a graph from the equation?
i dont think there is such thing as the equation of a curved line the closest is probably a (hyperbola, ellipse, or parabola) with a restriction making it look like a curved line but it would be very complicated
