NCERT Solutions for Class 11 Maths Chapter 2 Relations And Functions

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NCERT Solutions for Class 11 Maths Chapter 2 Relations And Functions: This is the continuation of NCERT Class 11 Maths Chapter 1. We have many relations in our daily life, like father sun, mother sun, etc. In a similar way, we can form relations in mathematics also. Many such examples are mentioned in NCERT Solutions for Class 11. Suppose we consider two Sets A and B as follows:

A={1,2,3,4,5}, B={2,6,12,20,30}, we can find a relation from A to B by inspection. That is set B is related to set A by the relation $\mathbf{(x,y):y=x^2+x}$ and this is one possible relation from set A to Set B

The NCERT Solutions for Class 11 Maths Chapter 2 Relations And Functions starts with Cartesian Products of Sets. The main points to remember in these topics are:

1. Cartesian products two sets A and B are set of all ordered pair of the elements from A and B, for example, A={1,2,3}, B= {2,3} then

$A\times B=(1,2),(1,3),(2,2),(2,3),(3,2),(3,3)$

2. If set A contains n elements and set B contains m elements then Cartesian Products A and B contains mn elements.

3. Two ordered pairs are equal if corresponding first and second elements are equal. That is if (a,b) =(c,d) then a=c and b=d

The main subheading under  NCERT Solutions for Class 11 Maths Chapter 2 are listed below

2.1 Introduction

2.2 Cartesian Products of Sets

2.3 Relations

2.4 Functions

The second important topic of NCERT Class 11 Maths Chapter 2 Relations And Functions is Relation. A few points to remember are listed below

1. A relation from non-empty set A to non-empty set B is a subset of $A\times B$

2. The set of all first elements of the ordered pairs in a relation R from a set A to a set B is called the domain R and the set of all second elements in a relation R from a set A to a set B is called the range of R., For example, consider a relation R from set A ={1,2,3,4} to Set B={1,2,3.........20} of real numbers defined by R={(1,1),(2,4),(3,9),(4,16)}. Then the set {1,2,3,4} is the domain of R and {1,4,9,16} is the range of R and the whole set B is the codomain.

3. Let the set A has n element and set B has m element then the number of possible relation from A to B is $2^{mn}$

The last topic of NCERT Solutions for Class 11 Maths Chapter 2 is Functions: A relation R from set A to set B is called as a function if every element of set A has only one image in set B.

Algebra of real functions: Let f and g be any real functions then

$\\a)(f + g) (x) = f (x) + g (x)\\ b)(f-g) (x) = f(x) -g(x) \\c)(fg) (x) = f(x) g(x)\\d)\frac{f}{g}(x)=\frac{f(x))}{g(x))}, \ g(x)\neq0$

This is the basic chapter of Relation and function. In class 12 NCERT Maths we will study more about Relations and Functions. After each exercise, there are exercises for practice, going through all the NCERT Solutions are mandatory for board exam

If you have any confusions in solving you can refer the NCERT Class 11 Maths Chapter 2 Relations And Functions below:

NCERT Solutions for Class 11 Maths Chapter 2 Relations And Functions - Exercise 2.1

NCERT Solutions for Class 11 Maths Chapter 2 Relations And Functions - Exercise 2.2

NCERT Solutions for Class 11 Maths Chapter 2 Relations And Functions - Exercise 2.3

NCERT Solutions for Class 11 Maths Chapter 2 Relations And Functions - Miscellaneous

NCERT Solutions for Class 11 Maths- Chapter-wise

 Chapter-1 Chapter-3 Chapter-4 Chapter-5 Chapter-6 Chapter-7 Chapter-8 Chapter-9 Chapter-10 Chapter-11 Chapter-12 Chapter-13 Chapter-14 Chapter-15 Chapter-16

NCERT Solutions for Class 11- Subject wise

 NCERT Solutions for Class 11 Biology NCERT Solutions for Class 11 Maths NCERT Solutions for Class 11 Chemistry NCERT Solutions for Class 11 Physics