Tuesday, February 11, 2014

Lesson Summary for 11th February (Tuesday)



Today we started of with a G+ discussion (LINK HERE) of the differences between a

1. CIRCLE
2. ELLIPSE
3. PARABOLA

4. HYPERBOLA 

Where Xintong's explanation was accurate and recommended by Mr Johari.


Conic Sections

A parabola has a line of symmetry, while a Hyperbola has 2 lines of symmetry, the transverse and longitudinal (Vertical and Horizontal)


















Equations of Circles




Discriminant


D<0 

Imaginery Roots

D>0

Real and Distinct Roots

D=0

Real and Equal Roots










Methods to finding the centre of the circle and the Radius

Method 1 (Completing the Square)





















Method 2 (Comparing Coefficients)





















General Form of the equation of a circle





















Assignment Questions in (Further Coordinate Geometry: Equations of Circles)


Question 5 (Tier B)




















Apparently it can intersect with each other 

















Question 8 (Tier C)




















Closing Note

Homework: Use GeoGebra or any graphing application to test out assumptions

Quote:
"Your level test is going to hit you like a Meteor" - Mr Johari 2014















Done By Ryan Tan S4-09

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