Class notes

CONIC SECTIONS

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Course
Mathematics I (MATSUR1)

Institution
Mangosuthu University Of Technology (MUT)

From your lectures, you know that an ellipse is part of a family of curves called conic sections. Other members of this family include the hyperbola, parabola, circle, etc. However, for purposes of the Mathematics 1 module, the only conic section to be analysed is an ellipse with its centre at t...

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Uploaded on September 2, 2021
Number of pages 8
Written in 2021/2022
Type Class notes
Professor(s) Mr. r sheshane
Contains All classes

identify vertices
major axis
minor axis
foci and use these to f
sketching the of ellipse with the centre at origin
find the standard form of the equation of an ellipse with the centre at the origin

Institution
Mangosuthu University Of Technology (MUT)
Course
Mathematics I (MATSUR1)

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Mathematics 1

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1. Class notes - Radian measure
2. Class notes - Conic sections
3. Class notes - Exponents and logarithms
4. Class notes - Exponential functions and equations
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CONIC SECTIONS
Tutorial Manual

MUT
Maths 1

, 1 Conic Sections
Learning Outcomes
After completing this section, you should be able to
 Sketch the graph of an ellipse with the centre at the origin
 Find the standard form of the equation of an ellipse with the centre at the
origin
 Identify vertices, major axis, minor axis, foci and use these to find the
equation of an ellipse

Introduction
From your lectures, you know that an ellipse is part of a family of curves called
conic sections. Other members of this family include the hyperbola, parabola,
circle, etc. However, for purposes of the Mathematics 1 module, the only conic
section to be analysed is an ellipse with its centre at the origin.

Let’s remind ourselves about the forms of ellipses.
Ellipse
When centred at the origin, the ellipse is in either of the 2 forms described below.

a. Major axis along the x-axis

1

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