The circle, ellipse, hyperbola, and parabola are examples of conic sections. Their quation contains x^2 terms, y^2 terms, or both. When these terms both appear, are on the same side, and have different coefficients with same signs, the equation is that of an ellipse.

Jason Farmer 2020-12-01 Answered
The circle, ellipse, hyperbola, and parabola are examples of conic sections. Their quation contains \(x^2 terms, y^2\) terms, or both. When these terms both appear, are on the same side, and have different coefficients with same signs, the equation is that of an ellipse.

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pierretteA
Answered 2020-12-02 Author has 15282 answers
The circle, ellipse, hyperbola, and parabola are made up of cone. Therefore the circle, ellipse, hyperbola, and parabola are examples of conic sections. Their equation contains \(x terms, y terms\), or both. We define ellipseas follows. There are two given points, the foci, Aellipse is the locus of points such that the sum between the distances to each focus is constant.The standard equation of ellipse is \(\frac{y^2}{a^2} + \frac{x^2}{b^2} = 1\) For example: \(x^{\frac{2}{16}} y^{\frac{2}{4}} = 1\) When these terms both appear, are on the same side, and have different coefficients with same signs, the equation is that of an ellipse. Conclusion: Ellipse is conic section that has \(x^2 terms, y^2 terms\) and they have same sign.
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