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RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3

Last updated date: 11th Sep 2024
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RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3 - Free PDF

Free PDF download of RD Sharma Class 11 Solutions Chapter 3 - Functions Exercise 3.3 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 3 - Functions Ex 3.3 Questions with Solutions for RD Sharma Class 11 Maths to help you to revise the complete syllabus and score more marks. Register for online coaching for IIT JEE (Mains & Advanced) and other Engineering Entrance Exams.

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Introduction – RD Sharma Solutions Class 11 Chapter 3 Functions Exercise 3.3

In Exercise 3.3 of Class 11 Chapter 3 Functions, we study relations and the applications of Functions in different aspects of Mathematics. Students who wish to learn effective problem solving can have a quick reference to RD Sharma Class 11 Solutions. Solutions are developed by the experts at Vedantu to help students follow the steps correctly so that they can easily solve problems and succeed in their final exams. This will remove the doubts of students about any question and improve their skills while preparing for the exams. Solutions for this task are provided in an easily accessible PDF format, which can be downloaded from the links provided on the Vedantu website.

• Concepts Compiled in Class 11 Mathematics Textbook Chapter 3 Functions include:

• Cartesian product of Sets,

• A Brief Review of the Cartesian System of Rectangular Coordinates,

• Relations,

• Concepts of Functions,

• Other Functions and Its Graph, Algebra of Real Functions,

• Ordered Pairs,

• Equality of Ordered Pairs,

• Pictorial Graphics,

Cartesian Product For Two Sets

In any two empty sets A and B, a set of all pairs ordered (a, b) where ∈ A and b ∈ B is called a Cartesian product of sets A and B and is defined by A × B.

• Thus, A × B = {(a, b): a ∈ A and b ∈ B}

• If A = Φ or B = Φ, then we define A × B = Φ

FAQs on RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3

1. How can I download the RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3 - Free PDF from online?

There are millions of websites available on the internet for downloading the study material. Since the onset of the pandemic in the previous year, the students are deprived of the physical medium of books. Hence, the experts of Vedantu realised the importance of the situation and formulated the RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3 - Free PDF. You can now easily download the solutions from the Vedantu website and enjoy uninterrupted flow in study.

2. What are the key features of RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3 - Free PDF that a student should look for?

A student should look for the following features if he or she is preparing for the exams seriously in RD Sharma Solutions Class 11:

• The RD Sharma Solutions Class 11 are prepared following the latest CBSE syllabus.

• The students are receiving all the details regarding various conceptual sums from the Chapter 3 Functions.

• All the Exercises are detailed and summarised properly for the students to recapitulate efficiently.

3. What are the main benefits of referring to the Vedantu website for downloading the RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3 - Free PDF?

Nowadays, every student prefers smart study which enables you to complete the preparation efficiently. We, at Vedantu, involve a plethora of questions that will assist you in developing a good basic knowledge about Chapter 3 Functions. Class 11 calls for some serious attention hence Vedantu solutions will enable perfect concept building and problem-solving skills. It is prepared according to the latest CBSE syllabus. The experts at Vedantu have decided to encourage and motivate the students by giving education free of cost. Hence, we aim at developing this nation by transforming the abilities of the youth.

4. What do you mean by Functions as per Class 11 syllabus?

A Function is termed as a relation that is operated with two different quantities so that an output is yielded. We say that a relation 'f' is a Function when each element of a non-empty set X, consists of only one image or range for a non-empty set Y. If we consider, X to Y the Function of 'f', and (x, y) € f, then f(x) = y, where y is the image of x. There are various types of Functions in Mathematics that are also used in real life to some extent.

5. What is the Classification of Functions in the RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3 - Free PDF?

RD Sharma Class 11 Solutions Chapter 3 - Functions (Ex 3.3) Exercise 3.3 the Classification of Function shows a relationship that takes place by the type of Mathematical equation we use. Some Functions can be algebraic. Angles are involved in some of the Functions, for example, Trigonometric Functions like f(x) = sin x. There are Functions with logarithmic relationships and exponential and logarithmic relationships and their Classification areas. It requires too much efficiency and knowledge to build up your concept in Functions.