## Relations and Functions Formulas for Class 11 Maths Chapter 2

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- A cartesian product A × B of two sets A and B is given by:

A × B = { \((a,b):a\epsilon A, b\epsilon B\) } - If (a , b) = (x , y); then a = x and b = y
- If n(A) = x and n(B) = y, then n(A × B) = xy
- A × \(\phi\) = \(\phi\)
- The cartesian product: A × B ≠ B × A
- A function f from the set A to the set B considers a specific relation type where every element x in the set A has one and only one image in the set B.

A function can be denoted as**f: A → B, where f(x) = y** - Algebra of functions: If the function f: X → R and g: X → R; we have:
- (i) \((f + g) (x) = f (x) + g(x), x\epsilon X\)
- (ii) \((f – g) (x) = f (x) – g(x), x\epsilon X\)
- (iii) \((f.g)(x) = f (x) .g (x), x\epsilon X\)
- (iv) \((kf) (x) = k ( f (x) ), x\epsilon X\), where k is a real number
- (v)\( \frac{f}{g}(x) = \frac{f(x)}{g(x)}, x\epsilon X, g(x)\neq 0\)

#### Summary Relations and Functions Formulas

We have listed top important formulas for Relations and Functions for class 11 Chapter 2 which helps support to solve questions related to chapter Relations and Functions. I would like to say that after remembering the Relations and Functions formulas you can start the questions and answers the solution of the Relations and Functions chapter. If you faced any problem to find a solution of Relations and Functions 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