Sets

10 Topics | 4 Quizzes
Relations and Functions

14 Topics | 4 Quizzes
Trigonometric Functions

15 Topics
Principle of Mathematical Induction

3 Topics | 2 Quizzes
Linear Inequalities

6 Topics
Permutations and Combinations

4 Topics | 4 Quizzes
Binomial Theorem

5 Topics | 2 Quizzes
Sequence and Series

10 Topics
Straight Lines

16 Topics
Conic Sections

5 Topics
Mathematical Reasoning

15 Topics | 6 Quizzes
The theory of sets was developed by German mathematician Georg Cantor (1845-1918).

Definition:

A set is a collection of well-defined objects.

There are two methods of representing a set:

(i) Roster or tabular form.

(ii) Set-builder form.

Example of Sets:

(a) The rivers of India.

(b) The vowels in the English alphabet.

(c) The set of all natural numbers.

(i) Roster form

(ii) Set-builder form:

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