### Mathematics Class XI

Unit-I: Sets and Functions
Chapter 1: Sets
Unit-II: Algebra
Chapter 5: Binomial Theorem
Chapter 6: Sequence and Series
Unit-III: Coordinate Geometry
Chapter 1: Straight Lines
Chapter 2: Conic Sections
Unit-IV: Calculus
Unit-V: Mathematical Reasoning
Unit-VI: Statistics and Probability
Chapter 1: Statistics
Chapter 2: Probability

# Set Operations

(i) Union:

If every elements of set and every elements of set are contained in a particular set, this set is called union of above sets and .

It is denoted by

Venn Diagram:

Example:

Note:

(a)

(b)

(c)

If and any

(ii) Intersection:

The set of elements which belongs to both and , is called intersection of two sets and .

It is denoted by .

If , it means and are two disjoint sets.

Venn Diagram:

Example:

Note:

(a)

(b)

(c)

If and any

(iii) Complement of a set:

The set of all elements in the Universal set which do not belong to the set , is called complement of .

It is denoted by or

i.e., for any

(iv) Difference of sets:

The set of elements in which do not belong to , is called the difference from to .

It is denoted by

Example:

Symmetric Difference of Sets:

The symmetric difference of two sets and is denoted by .

It is defined as

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