## NCERT Solutions for Maths Class 11 Chapter 2 Exercise 2.2 - FREE PDF Download

## FAQs on NCERT Solutions for Class 11 Maths Chapter 2 - Relations and Functions Exercise 2.2

1. How the cartesian product of two sets is defined in Class 11 Ex 2.2?

The cartesian product is a set formed from two or more given sets and contains all ordered pairs of elements such that the initial element of the pair is from the first set and the second is from the second set and the third is from the third set and so on.

The Cartesian product of two sets $A$ and $B$, denoted as $A \times B$, is defined as the set of all ordered pairs $(a,b)$ where $a \in A$ and $b \in B$. Formally, it is written as:

$A \times B = \{ (a, b) \ | \ a \in A \text{ and } b \in B \}$.

2. Why do we use cartesian products in Class 11th Maths Exercise 2.2 Answers?

The product of cartesian in computing is exactly the same as in mathematics. It will apply to matrix applications. An ordered pair means that two elements are taken from each set.

3. What are the four operations of sets in NCERT solution Class 11 Maths Chapter 2 Relation and Function Exercise 2.2?

Set operation is performed on two or more sets and gets a combination of elements according to the operation performed on them and there are four important basic operations of sets are:

Union of sets

Intersection of sets.

Complement of sets.

Cartesian product of sets.

4. How do we count the number of possible relations between two sets in Class 11 Chapter 2 Relations and Functions?

The number of possible relations between two sets $A$ and $B$ is $2^{m \times n}$, where $m$ is the number of elements in set $A$ and $n$ is the number of elements in set $B$.

5. What is the difference in Sets and Relations in reference to the Chapter 2 of Class 11 Maths?

A set is simply a collection of elements, whereas a relation is a set of ordered pairs that define a specific relationship between two sets. Also, the elements of a set are individual objects, while the elements of a relation are ordered pairs.

6. What is the range and codomain in a relation, and what is the relation between them?

The codomain of a relation is the set of all possible second elements (outputs) that can be paired with elements from the first set (domain).

The range of a relation is the set of all actual second elements (outputs) that are paired with elements from the first set (domain) in the relation.

The range is always a subset of the codomain. This means every element in the range is also an element of the codomain, but not every element in the codomain must be in the range.

7. What is the domain and range of a relation taught in Maths Ex 2.2 Class 11?

The domain of a relation is the set of all first elements (x-values) of the ordered pairs. The range is the set of all second elements (y-values) as per Ex 2.2 Class 11.

8. What are the types of relations as per the Class 11 Maths Chapter 2 Exercise 2.2 Syllabus ?

The types of relations include:

Reflexive Relation: Every element is related to itself.

Symmetric Relation: If $(a, b)$ is in R, then (b, a) is also in R.

Transitive Relation: If (a, b) and (b, c) are in R, then (a, c) is in R.

Equivalence Relation: A relation that is reflexive, symmetric, and transitive.

9. How many questions from Class 11 Maths Chapter 2 Relations appeared in previous year exams?

The number of questions on relations in previous year exams can vary. On average, 2-3 questions from the topic of relations are typically asked in Class 11 exams. It's important to review past papers for specific patterns. Student can visit Vedantu’s NCERT Solutions pages for detailed step-by-step solutions of NCERT questions.

10. Where can I find Exercise 2.2 Class 11 Maths Solutions from NCERT book?

You can easily find the NCERT solutions for Class 11th Maths Chapter 2 Relation and Function Exercise 2.2 on the Vedantu website. Our highly skilled and qualified teachers provide you with the best and easily understandable solutions that will help students in learning the concept in a better way.