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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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Document information

  • September 2, 2021
  • 8
  • 2021/2022
  • Class notes
  • Mr. r sheshane
  • All classes

Subjects

  • 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

Written for

  • Mangosuthu University Of Technology (MUT)
  • Mathematics I (MATSUR1)
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Content preview

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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