General Binomial Expansion - Multiple What is the general binomial expansion? The general binomial expansion, as given in the formula booklet, is If n ∈ ℕ then the expansion is finite (see Binomial...
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 types of ...
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 too Th...
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 1 &nbs...
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 is perp...
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 the tri...
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 the line...
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 + (y - b)...
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 circle ...
