CAPE Unit 1 Pure Mathematics - Co-ordinate Geometry II
Welcome back to our CAPE Unit 1 Pure Mathematics Co-ordinate Geometry series!
Join us for the second installment, where we delve into the fascinating world of ellipses and parabolas. This video covers the standard equations of these curves, their conversion to parametric and cartesian forms, and their critical points of focus. Additionally, we demonstrate how to complete the square to obtain the equation of an ellipse. This tutorial is designed to enhance your grasp of these geometric shapes and their properties.
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Timestamps / Chapters
00:00 Intro
00:06 Topics Covered in Previous Class
00:41 Ellipse
02:39 Example
03:28 Point of Focus of an Ellipse
06:20 Practice Question 1
07:39 Equation of an Ellipse with center (p ,q)
08:23 Example
11:23 Practice Question 2
13:06 Completing the square to obtain the equation of an Ellipse
18:07 Parametric Equation of an Ellipse
18:47 Practice Question 3
19:39 Parabola
20:14 Drawing a Parabola
21:20 Parametric Equation of a Parabola
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