Answered: What is the general equation of the…

What is the general equation of the conic section passing through the points A(0,1), B(2,3), C(5,4), D(1, −2), E(4, −1)? Show also the graph of the conic section.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 20RE

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Question

What is the general equation of the conic section passing through the points
A(0,1), B(2,3), C(5,4), D(1, −2), E(4, −1)?

Show also the graph of the conic section.

Curve that is obtained by the intersection of the surface of a cone with a plane. The three types of conic sections are parabolas, ellipses, and hyperbolas. The main features of conic sections are focus, eccentricity, and directrix. The other parameters are principal axis, linear eccentricity, latus rectum, focal parameter, and major and minor axis.

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