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

Jason Farmer

Answered question

2020-12-01

The circle, ellipse, hyperbola, and parabola are examples of conic sections. Their quation contains x2terms,y2 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.

Answer & Explanation

pierretteA

pierretteA

Skilled2020-12-02Added 102 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 xterms,yterms, 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 y2a2+x2b2=1 For example: x216y24=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 x2terms,y2terms and they have same sign.

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