**NCERT Solutions For Class 11 Maths Chapter 2:** The **NCERT Solutions for Class 11 Maths** Chapter 2 provided in this article have been prepared by maths experts with years of experience. The faculties at Embibe take pride in preparing study material, important questions, mock tests, and other resources to help students with their board exam preparation.

From this article, students will be able to download the Class 11 maths chapter 2 exercise solved questions. We have provided **NCERT solutions** to all the exercise questions in sequence i.e. Exercise 2.1, Exercise 2.2, and Exercise 2.3. Relations and Functions chapter covers topics like sets, subset, relations between quantities, numbers, algebraic identities, etc. The chapter also deals with the concepts of domain, range, and functions along with relationships of each topic and their uses.

## CBSE NCERT Solutions For Class 11 Maths Chapter 2: Relations And Functions

The chapter consists of 3 exercises with 6 topics. Here we will provide the solutions to 13 questions of exercise 2.1., 9 questions of exercise 2.2, and 5 questions of exercise 2.3. The answers to miscellaneous exercise questions are also made available to the students.

2.1 | Introduction |

2.2 | Cartesian Products of Sets |

2.3 | Relations |

2.4 | Functions |

2.4.1 | Some Functions and their Graphs |

2.4.2 | Algebra of Real Functions |

### NCERT Solutions For Class 11 Maths Chapter 2 PDF Download

A relation R from a set A to a set B is a subset of the cartesian product A x B obtained by describing a relationship between the first element x and the second element y of the ordered pairs in A x B.

The domain of R is the set of all first elements of the ordered pairs in a relation R. The range of the relation R is the set of all second elements of the ordered pairs in a relation R. Through this CBSE NCERT Class 11 Maths Chapter 2, you will further know that a function f from a set A to a set B is a specific type of relation for which every element x of set A has one and only one image y in set B. We write f: A→B, where f(x)=y. A is the domain and B is the codomain of f. The range of the function is the set of images.

You can have a look at the solutions PDF from the image below and download it from the link given at the end of the images.

### NCERT Solutions For Class 11 Maths Chapter 2: Relations And Functions

The word Function first appears in a Latin manuscript ‘Methoduc tangentium inversa, seu de fuctionibus’ written by Gottfried Wilhelm Leibnitz (1646-1716) in 1673; Leibnitz used the word in the non-analytical sense. He considered a function in terms of ‘mathematical job’- the ’employee’ being just a curve. On July 5, 1698, Johan Bernoulli, in a letter to Leibnitz, for the first time deliberately assigned a specialized use of the term function in the analytical sense. At the end of that month, Leibnitz replied showing his approval. *Function *is found in English in 1779 in Chambers’ Cyclopaedia – “The term function is used in algebra, for an analytical expression any way compounded of a variable quantity, and of numbers, or constant quantities.” CBSE NCERT Class 11 Maths Chapter 2 Relations and Functions further teaches the Cartesian product A x B of two sets A and B is given by

A × B = {(a, b): a ∈ A, b ∈ B}

In particular R x R= {(x,y): x,y ∈ R}

and R x R x R= (x,y,z); x,y,z ∈ R}

### NCERT Solutions for Class 11 Chapter 2 Miscellaneous Exercise

Chapter 2 Relations and Functions Miscellaneous Exercise covers all the topics and questions from the previous 3 exercises of the complete chapter. This exercise helps students to logically and smartly use their mind as the questions in this exercise requires high order thinking. The questions that appear in this exercise can be considered as an upgrade. This exercise is not only important for school exams but also holds special importance in competitive exams.

### FAQs On CBSE Class 11 Maths Chapter 2 Solutions

Some of the frequently asked questions on Relation and Function Class 11 NCERT Solutions PDF and their answers are as under:

*Q1. Where can we find full solution PDF of Class 11 Maths NCERT? ***A.** All Class 11 Maths NCERT Solutions PDF are available for free on Embibe.

*Q2. Can we prepare Maths for 11th only by NCERT? ***A.** For Class 11 final exams, **NCERT books** along with previous year question papers are sufficient. However, for competitive exams like JEE Main, JEE Advanced, and BITSAT, you need to refer to some advanvced-level books as well.

*Q3. What is the meaning of relations in Chapter 2 of NCERT Solutions for Class 11 Maths? ***A.** A relation R from a set A to a set B is a subset of the cartesian product A x B obtained by describing a relationship between the first element x and the second element y of the ordered pairs in A x B.

NCERT Solutions for Class 11 Maths Chapter 1 | NCERT Solutions for Class 11 Maths Chapter 3 | NCERT Solutions for Class 11 Maths (All Chapter) |

This article on CBSE NCERT Solutions for Class 11 Maths Chapter 2 Relations and Function (Class 11 Maths Chapter 2 notes) will clear your doubts and help you with your homework and preparation. Those who are looking for solutions to other exercises can check the links above.

*So, now you have plus one Maths Chapter 2 questions and answersPDF. If you have any query regarding this article on NCERT Solutions for Class 11 Maths Chapter 2, do let us know about it in the comment section below and we will get back to you at the earliest.*

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