## Set Notation

A set is a collection of distinct objects(elements) which have common property. For example, red, blue, and green are colors. When the elements are considered collectively, set is formed. The elements in a set can be represented in a number of ways, some of which are more useful for mathematical treatment and others for general understanding. These different methods of describing a set are called set notations.

## Intersection of Sets

The intersection of two sets A and B ( denoted by A∩B ) is the set of all elements that is common to both A and B. In mathematical form, For two sets A and B, A∩B = { x: x∈A and x∈B } Similarly for three sets A, B and C,

## Venn Diagram

Venn Diagram was proposed in 1880 by John Venn. These diagrams are very useful tools to understand, to interpret and to analyze the information contained by the sets. The different region in the Venn Diagrams can be represented with unique mathematical notation. eg: (AUB), (AUBUC) etc.

## Union of Sets

For two sets A and B, the union of A and B (denoted by A∪B) is the set of all distinct elements that belong to set A or set B. In mathematical form, A∪B = { x: x∈A or x∈B}

## Sets and Types of Sets

A set is a collection of distinct objects(elements) which have common property. For example, cat, elephant, tiger, and rabbit are animals. When, these animals are considered collectively, it’s called set. Set Notation The members(elements) of set is separated by comma and braces { } are used outside the comma separated elements.

## Angle Between Two Lines

Let y = m1x + c1 and y = m2x + c2 be the equations of two lines in a plane where,