Core Mathematics-Two

Zainab Al-Lami
Note by Zainab Al-Lami, updated more than 1 year ago
Zainab Al-Lami
Created by Zainab Al-Lami almost 3 years ago
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A-Level Maths (Core Maths) Note on Core Mathematics-Two, created by Zainab Al-Lami on 04/22/2018.

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Core Mathematics-Two

Coordinate Geometry in the (x,y) Plane We can find the midpoint of a line joining (x1,y1) and (x2,y2) by using the formula: ((x1+x2)/2 + (y1+y2)/2) – The perpendicular from the centre of the circle to the chord bisects the chord  We can find the distance d between (x1,y1) and (x2,y2) by using the formula: d=√[(x2-x1)^2+(y2-y1)^2] – The angle in a semicircle is a right angle   can write the equation of a circle in the form: (x-a)^2+(y-b)^2=r^2 where (a,b) is the centre and r is the radius – The angle between the tangent and the radius is 90 – The tangent meets the circle at one point only 

The Binomial Expansion We can use Pascal's Triangle to quickly expand expressions such as: (x+2y)^3

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