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 ...
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 Models will...
Equation of a Straight Line What is the equation of a straight line? y = mx + c is the equation for any straight line m is gradient given by “difference in y” ÷ “difference in x” or dy/dx c is the ...
Parallel & Perpendicular Gradients What are parallel lines? Parallel lines are equidistant meaning they never meet Parallel lines have equal gradients What are perpendicular lines? Perpendicula...
