T11_Conic_Sections - Mathematics Department (MD) Centre for...

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PMC 0045 Pre-Calculus for Engineering Foundation in Engineering ONLINE NOTES Topic 11 Conic Sections and Analytic Geometry FOSEE , MULTIMEDIA UNIVERSITY (436821-T) MELAKA CAMPUS, JALAN AYER KEROH LAMA, 75450 MELAKA, MALAYSIA. Tel 606 252 3594 Fax 606 231 8799 URL: http://fosee.mmu.edu.my/~asd/ Mathematics Department (MD) Centre for Foundation Studies and Extension Education (FOSEE)
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PMC0045 Pre-Calculus for Engineering Topic 11 TOPIC 11: CONIC SECTIONS AND ANALYTIC GEOMETRY References : 1. Sullivan, M. (2002), , 6 th Ed., Prentice Hall. 2. Blitzer, R., Goh Wei Wei, et.al. (2005), , Prentice Hall. Objectives: 1. Study the polar coordinates system 2. To identify and graph parabolas. 3. To identify and graph ellipses and hyperbolas Contents: 11.1 The Ellipse 11.2 The Parabola **For all the graphs, please refer to the textbook . Conics are curves that result from the intersection of a (right circular) cone and a plane. The conics we shall study arise when the plane does not contain the vertex. These conics are circles when the plane is perpendicular to the axis of the cone and intersects each generator(axis and generator); ellipses when the plane is tilted slightly so that it intersects each generator, but intersects only one nappe of the cone; (nappe - the cone consists of two parts that intersect at the vertex); parabolas when the plane is tilted further so that it is parallel to one(and only one) generator and intersects only one nappe of the cone; and hyperbolas when the plane intersects both nappes. ----------------------------------------------------------------------------------------------------------- - 11.1 THE ELLIPSE Definition: An ellipse is the collection of all points in the plane the sum of whose distances from two
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This note was uploaded on 10/30/2010 for the course FOSEE CVL1040 taught by Professor None during the Spring '09 term at Multimedia University, Cyberjaya.

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T11_Conic_Sections - Mathematics Department (MD) Centre for...

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