Conic Sections Flashcards

1
Q

Conic Section

A

The conic sections are the classes of nondegenerate curves generated by the intersections of a plane with one or two nappes of a cone. A conic section can also be realized as the zero set of a quadratic equation in two variables.

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2
Q

Ellipse

A

A conic section with eccentricity less than one. It resembles a squashed circle.

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3
Q

Hyperbola

A

A hyperbola is a conic section with eccentricity greater than one and consists of two separate branches.

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4
Q

Locus

A

A locus is the set of all points (usually forming a curve or surface) satisfying some condition. For example, the locus of points in a plane that are equidistant from a given point is a circle.

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5
Q

Parabola

A

A parabola is a conic section with eccentricity equal to one. Parabolas appear as the graphs of quadratic equations and the trajectories of projectiles.

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