NCERT Solution For Class 11 Maths Chapter 2- Relations And Functions

NCERT Solutions For Class 11 Maths Chapter 2 PDF Free Download

The NCERT solutions for the questions given in Chapter 2, Relations and Functions, of the Class 11 NCERT textbooks are available here. In this chapter students learn about Relations And Functions in detail. Students can easily score full marks in exam by solving all the questions present in the NCERT textbook.

The Class 11 NCERT solutions for Relations and Functions are very easy to understand. These solutions cover all the exercise questions included in the book and are according to the latest guidelines of CBSE. Here, the PDF of the Class 11 maths Chapter 2 NCERT solutions is available which can be downloaded as well as viewed online. Students can also avail these NCERT solutions and download it for free to practice them offline as well.

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Access Answers of Maths NCERT Class 11 Chapter 2- Relations And Functions

NCERT Solution For Class 11 Maths Chapter 2 Relations and Functions part 01
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NCERT Solutions for Class 11 Maths Chapter 2- Relations And Functions

The major concepts of Maths covered in Chapter 2 – Relations And Functions of NCERT Solutions for Class 11 includes:

2.1 Introduction

2.2 Cartesian Product of Sets

2.3 Relations

2.4 Functions

2.4.1 Some functions and their graphs

  • Identity function
  • Constant function
  • Polynomial function
  • Rational functions
  • The Modulus function
  • Signum function
  • Greatest integer function

2.4.2 Algebra of real functions

  • Addition of two real functions
  • Subtraction of a real function from another
  • Multiplication by a scalar
  • Multiplication of two real functions
  • The quotient of two real functions

Exercise 2.1 Solutions 10 Questions

Exercise 2.2 Solutions 9 Questions

Exercise 2.3 Solutions 5 Questions

Miscellaneous Exercise On Chapter 2 Solutions 12 Questions

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

The chapter Relations And Functions belongs to the unit Sets and Functions which consist of 23 marks. There are 3 exercises along with a miscellaneous exercise in this chapter to help students understand the concepts related to Relations And Functions clearly. Some of the topics discussed in Chapter 2 of NCERT Solutions for Class 11 Maths are as follows:

  1. Ordered pair A pair of elements grouped together in a particular order.
  2. Cartesian product A × B of two sets A and B is given by A × B = {(a, b): a ∈ A, b ∈ B}
  3. Relation A relation R from a set A to a set B is a subset of the cartesian product A × B obtained by describing the relationship between the first element x and the second element y of the ordered pairs in A × B.
  4. The image of an element x under a relation R is given by y, where (x, y) ∈ R,
  5. The domain of R is the set of all first elements of the ordered pairs in a relation R.
  6. The range of a relation R is the set of all second elements of the ordered pairs in a relation R.
  7. Function 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.
  8. A is the domain and B is the codomain of f.
  9. The range of the function is the set of images.
  10. A real function has the set of real numbers or one of its subsets both as its domain and as its range.
  11. Algebra of functions

Why Solve NCERT Solutions for Class 11 Maths Chapter 2 – Relations And Functions?

Studying the Relations And Functions of Class 11 enables the students to understand the following:

Ordered pairs, Cartesian product of sets. Number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself (upto R × R × R). Definition of relation, pictorial diagrams, domain, co-domain and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain and range of a function. Real valued function of a real variable, domain and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product and quotients of functions.

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