 Most Affordable JEE | NEET | 8,9,10 Preparation by Kota's Top IITian Doctor Faculties

# NCERT Solutions for Class 11 Maths Chapter 2 Relations and Functions Exercise 2.1 - PDF Download NCERT solutions class 11 maths chapter 2 Relations and Functions exercise 2.1 illustrates the fundamental concepts associated with the cartesian product of sets. Given two sets of elements P and Q that are non empty, the cartesian product of PQ is the set of all the ordered pairs of the elements from P and Q. i.e., P × Q = { (p,q) : p ∈ P, q ∈ Q }. A fundamental knowledge of the cartesian product of sets is necessary to answer all the questions in ex2.1.

Class 11 maths chapter 2 exercise 2.1 NCERT solutions has a total of 10 questions based on cartesian products of sets. Our experienced faculty of mathematics have designed the NCERT solutions for class 11 maths chapter 2 relations and functions ex 2.1 that can help to prepare for examination. Ex 2.1 class 11 maths chapter 2 solutions are also provided here in free PDF format. To download the NCERT solutions PDF link is provided below. You can easily access the PDF from eSaral and score excellent marks in the final exam.

## Topics Covered in Exercise 2.1 Class 11 Mathematics Questions

Ex 2.1 class 11 maths ch 2 is all about cartesian products of sets. The best way to comprehend the topic is to practice the NCERT solutions created by eSaral.

 1 Ordered Pair 2 Cartesian Products of Sets
1. Ordered Pair - An ordered pair is a set of objects in which one element is assigned to the first element and the other element to the second element, denoted by (a,b. Where 'a' is the first component and 'b' is the second component of the ordered set.

2. Cartesian Products of Sets - A Cartesian product consisting of two Non-empty sets, A and B, is the set of all ordered pairs in which the first component of the pair is from A and the second component is from B. The cartesian product A × B is the set of all ordered pairs of elements.

A × B = {(a, b) : a ∈ A and b ∈ B}

If either P or Q is the null set, then P × Q will also be empty set, i.e., P × Q = ϕ

Properties of Cartesian Product

(I) Two ordered pairs are equal, if and only if the corresponding first elements are equal and the second elements are also equal.

(II) If there are p elements in A and q elements in B, then there will be pq elements in A × B, i.e., if n(A) = p and n(B) = q, then n(A × B) = pq

(III) If A and B are non-empty sets and either A or B is an infinite set, then so is A × B

(IV) A × A × A = {(a, b, c) : a, b, c ∈ A}. Here (a, b, c) is called an ordered triplet.

## Tips for Solving Exercise 2.1 Class 11 Chapter 2 Relations and Functions

To solve questions of ex 2.1 class 11 maths, you must be well-versed with the concepts related to exercise 2.1. Here, our subject experts of eSaral have some useful tips to solve exercise questions.

1. Students can gain a thorough understanding of the fundamentals of mathematics by regularly revising all questions and examples included in the NCERT solutions class 11 maths chapter 2 Relations and Functions ex 2.1.

2. It is also recommended to revise the relevant definitions and terms included in these solutions, along with the questions.

3. In order to successfully complete this exercise, it is essential to focus on the theory, including definitions and derived conclusions.

4. NCERT solutions class 11 maths chapter 2 ex 2.1 helps students to remember important formulas and concepts in a short time so it is important to go through these solutions.

## Importance of Solving Ex 2.1 Class 11 Maths Chapter 2 Relations and Functions

NCERT solutions class 11 maths chapter 2 relations and functions ex 2.1 have provided numerous benefits of solving questions of ex 2.1.

1. NCERT class 11 maths ch 2 ex 2.1 question answer will construct the fundamental functions, which will be beneficial in the 12 board examinations.

2. All the questions in ex 2.1 have been carefully prepared and detailed, so you will find them easy to understand.

3. NCERT solutions PDF will provide you with the correct answer for class 11 maths chapter 2 ex 2.1 which will boost your confidence.

4. By practicing NCERT questions, you can improve your problem solving skills.

Question 1. What does Cartesian product mean?

Answer 1. A Cartesian product is any set made up of two or more sets. It is made up of all the ordered pairs of elements, with the first element of the pair is from the first set and the second element is from the second set.

Question 2. What are the properties of cartesian products of sets?

Answer 2. The properties of cartesian products of sets are:

1. Two ordered pairs are equal, if and only if the corresponding first elements are equal and the second elements are also equal.

2. If there are p elements in A and q elements in B, then there will be pq elements in A × B, i.e., if n(A) = p and n(B) = q, then n(A × B) = pq

3. If A and B are non-empty sets and either A or B is an infinite set, then so is A × B

4. A × A × A = {(a, b, c) : a, b, c ∈ A}. Here (a, b, c) is called an ordered triplet.

Question 3. Are NCERT solutions PDF for class 11 maths chapter 2 ex 2.1 available on eSaral?

Answer 3. Yes, you can find the NCERT solutions PDF class 11 maths chapter 2 ex 2.1 on eSaral. These PDFs can be downloaded for free from eSaral.