## Set Theory Formulas for Class 11 Maths Chapter 1

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#### Set Theory Identities

- Sets: A, B, C
- Universal Set: I
- Complement: A’
- Proper Subset: A ⊂ B
- Empty Set: ∅
- Union of Sets: A ∪ B
- Intersection of Sets: A ∩ B
- Difference of Set: A\B

#### Set Theory Formulas

- A⊂I
- A⊂A
- A=B if A⊂B and B⊂A
- Empty Set: ∅⊂A
- Union of Sets: C = A∪B = {X|X∈A or X∈B}
- Union of Commutative Sets: A∪B = B∪A
- Union of Associativity Sets: A∪(B∪C) = (A∪B)∪C
- Intersection of Sets: C = A∩B = {X|X∈A or X∈B}
- Intersection of Commutative Sets: A∩B = B∩A
- Intersection of Associativity Sets: A∩(B∩C) = (A∩B)∩C
- Distributive: A∪(B∩C) = (A∪B)∩(A∪C) and A∩(B∪C) = (A∩B)∪(A∩C)
- Idempotency: A∪A = A, A∪A = A
- Domination: A∩∅ = ∅, A∪I = I
- Identity: A∪∅ = A, A∩I = A
- Complement = A’= {X∈I|X∉A}
- Complement of intersection and Union: A∪A’ = I, A∩A’ = ∅
- De Morgan’s Law: (A∪B)’ = A’∩B’, (A∩B)’ = A’∪B’
- Difference Sets: C = B\A = {X|X∈B or X∉A}
- B\A = B\(A∩B)
- B\A = B∩A’
- A\A = ∅
- A\B = A if A∩B = ∅
- (A\B)∩C=(A∩C)\(B∩C)
- A’ = I\A
- Cartesian Product : C = A X B = {(x,y)| X∈A and y∈B}

#### Summary Set Theory Formulas

We have listed top important formulas for Set Theory for class 11 chapter 1 which helps support to solve questions related to chapter Set Theory. I would like to say that after remembering the Set Theory formulas you can start the questions and answers the solution of the Set Theory chapter. If you faced any problem to find a solution of Set Theory questions, please let me know through commenting or mail.

#### NCERT Class 11 Maths Formulas By chapters

- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 7 Permutations and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 15 Statistics
- Chapter 16 Probability

#### NCERT Solutions Class 11 Maths by Chapters

- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 6 Linear Inequalities
- Chapter 7 Permutations and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 14 Mathematical Reasoning
- Chapter 15 Statistics
- Chapter 16 Probability