Revision Note - Math

1. Definitions

For any real numbers $a$, $b$, $c$ and $d$. Let $z=a+bi$, whe… Read

Complex Number

2. Basic Operations of Complex Number

For $i^2=-1$ and any real numbers $a$, $b$, $c$ and $d$.

Addi

Complex Number

Addition Law

Let $E$ and $F$ be two events.
\begin{equation*}
P(E\mbox{ … Read

Data Handling

Adjacent Angles on a Straight Line

Result: $a+b=180^\circ$

Reference: adj. $\angle$s on a st… Read

Lines and Angles

Angle Sum of Triangle

Result: $a+b+c=180^\circ$

Reference: $\angle$ sum of $\D… Read

Math

Angles at a Point

Result: $a+b+c+d=360^\circ$

Reference: $\angle$s at a pt… Read

Lines and Angles

Angles at the Centre

Equal arcs imply the angles at the centre equal.

Condition:

Math

Angles at the Circumference

The angle at centre is twice the corresponding angle at circ

Math

Area of Triangle

Area $=\dfrac{1}{2}\times$ base $\times$ height
Area $=\

Math

Arithmetic Sequences

Let $T(1)$, $T(2)$, …, $T(n)$ be an arithmetic seque… Read

Math

Base Angles of Isosceles Triangle

Result: $a=b$

Reference: base $\angle$s, isos. $\Delta$… Read

Math

Basic Laws of Inequality

For any real numbers $a$, $b$ and $c$.

Transition law
If $ab$

Inequalities

Centres of Triangle

Centroid of triangle

Property: The three medians intersec

Math

Chords

Perpendicular line from the centre to chord bisects chord.

Math

Circle

For a circle with radius $r$.

Circumference $=2\pi r$
Area o

Math

Circular Cylinder

For a circular cylinder with base radius $r$ and height $h$.… Read

Math

Combinations

For $n$ different objects, if we select $r$ objects out of th… Read

Data Handling

Complementary Events

Let $E$ and $F$ be two events. If $E$ and $F$ are complementar… Read

Data Handling

Condition for Isosceles Triangle

Condition: $a=b$

Reference: sides opp. eq. $\angle$s… Read

Math

Condition for Right-angled Triangle

Condition: $a^2+b^2=c^2$

Result: The triangle is a right-… Read

Math