General Binomial Expansion - Subtleties What is the general binomial expansion? The binomial expansion applies for positive integers, n ∈ ℕ The general binomial expansion applies to other ty...
General Binomial Expansion What is the general binomial expansion? The binomial expansion applies for positive integers, n ∈ ℕ The general binomial expansion applies to other types of powers...
Binomial Expansion What is the binomial expansion? Look at the pattern Start at nC0, then nC1, nC2, etc Powers of a start at n and decrease by 1 Powers of b start at 0 and increase by...
Radius & Tangent What is the relationship between tangents and radii? A tangent is a line that touches a circle at a single point but doesn't cut across the circle A tangent to a circle ...
Angle in a Semicircle What is the angle in a semicircle property? It is always possible to draw a unique circle through the three vertices of a triangle – this is called the circumcircle of ...
Bisection of Chords How can I find the equation of a perpendicular bisector? The perpendicular bisector of a line segment: is perpendicular to the line segment goes through the midpoint of t...
Finding the Centre & Radius How can I find the centre and radius from any form of the equation of a circle? A circle equation in a different form can always be rearranged into (x- a)2 + ...
Equation of a Circle What do I need to know about the equation of a circle? A circle with centre (a, b) and radius r has the equation You need to be able to find the centre and radius of a ...
Modelling with Straight Lines What is modelling with straight lines? Modelling means applying the mathematics to a real-life situation The model is used to find or predict future values Mode...
