1. ©G Dear2008 – Not to be sold/Free to use
Mathematic
(Preliminary)
Quadratics
Trigonometric
Ratios
Stage 6 - Year 11
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©G Dear2008 – Not to be sold/Free to use

2. Intersection of Curves and Lines
occurs with …
Two
points
One point No
points
or many
Points!

3. Intersection of Curves and Lines
Solve Simultaneously
Show that y = 2x + 6 cuts the parabola y = x2 + 3 in 2 points.
x2 + 3 = 2x + 6
x2 – 2x – 3 = 0
∆ = (– 2)2 – 4 x 1 x (– 3) = 16
∆ = a square number!
Therefore 2 real-rational solutions.