General Binomial Expansion What is the general binomial expansion? The binomial expansion applies for positive integers,?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 ...
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?...
