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Conic Sections Quiz

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Questions and Answers

Who is the ancient Greek mathematician known for systematic work on conic sections?

Euclid
Archimedes
Pythagoras
Apollonius of Perga (correct)

What are the three types of conic section?

Ellipse, circle, and hyperbola
Hyperbola, parabola, and ellipse (correct)
Hyperbola, circle, and parabola
Circle, ellipse, and parabola

How is a non-circular conic defined based on its distances to a focus and a directrix?

Set of points equidistant from the focus and directrix
Set of points farthest from the focus
Set of points closest to the focus
Set of points whose distances to the focus and directrix are in a fixed ratio (correct)

What determines the type of conic in relation to its eccentricity?

<p>The value of the eccentricity (D)</p> Signup and view all the answers

In analytic geometry, how may a conic be defined?

<p>As a plane algebraic curve of degree 2 (C)</p> Signup and view all the answers

Flashcards

Apollonius of Perga

Ancient Greek mathematician known for his systematic work on conic sections.

Three types of conic sections?

Hyperbola, parabola, and ellipse.

Definition of a non-circular conic

The set of points where the ratio of distances to the focus and directrix is constant.

Eccentricity's Role

The value of the eccentricity determines if the conic section is a hyperbola, parabola, or ellipse.

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Conic Section in Analytic Geometry

A conic section is definable as a plane algebraic curve of degree 2.