# NCERT Book for Class 11 Maths

The National Council of Educational Research and Training (NCERT) is an independent organisation that was established in 1961 by the Government of India. Its primary mission is to provide the Central and State Governments of India with assistance and advice on educational policies and programs designed to improve schooling quality.

Teachers recommend students use study materials like the Class 11 Math book PDF because they are highly effective in providing students with a comprehensive understanding of the concepts being covered in the course. Students who are preparing for at-home examinations such as units, half-yearlies and finals will find the NCERT solutions for Class 11 mathematics to be of tremendous assistance. These NCERT Solutions for Class 11 Maths are created by licensed math professionals who ensure that the information is delivered gradually with increasing difficulty, enabling students to build a strong foundation. When working through issues associated with a particular subject area, it may be helpful to consult the below answers, which are arranged in a chapter-based structure.

## NCERT Books for CBSE Class 11 Maths

Mathematics is an important subject taught to students from the very beginning of their educational careers. Because success in more advanced levels depends on a solid understanding of foundational concepts, it is essential to grasp the subject’s fundamentals well.

The math book for class 11th includes a syllabus covering all the CBSE examination topics. This syllabus is fairly comprehensive. If you are looking for study material that is easily accessible, the NCERT book of Maths Class 11 is available for download from our website. You can also try your hand at solving the questions that are included after each chapter in these NCERT books for Class 11 Maths.

### Chapter 1: Sets

The first chapter of the NCERT textbook for Class 11 Maths covers the topics of Sets and their Representation, Empty sets, Finite and Infinite Sets, Equal Sets, Subsets, Power sets, Universal sets, Venn Diagrams, Operations on Sets, and Complement of a Set.

A set with no members is referred to as a null set or an empty set, which is covered in the mathematics textbook for Class 11 that NCERT publishes. The sign in mathematical notation represents the empty set. These phrases are self-explanatory when used for finite and infinite sets. It is possible to determine whether or not a set is finite by determining whether or not it has a beginning and an endpoint that each contains a finite number of members.

On the other hand, something represents an infinite set when the number of elements can never be exhausted. In addition, you may observe that a subset is essentially a part of another set in the PDF version of the Maths NCERT textbook for Class 11. For example, set Y will be considered a subset of set X if each element of set Y consists of elements that are also included in set X.

### Chapter 2: Relations and Functions

The following topics are covered in this chapter: (1) the Cartesian Product of Sets; (2) Relations; and (3) Functions.

According to the information included in the PDF version of the NCERT Mathematics Class 11 textbook, the Cartesian product of sets is the cross product of two sets, such as X and Y, notated as XxY, which is the set of all ordered pairs. It is implied that XxY ≠ YxX. If either X or Y is a null set, then the XxY will likewise be a null set, which means that X times Y will be an empty set (XxY=φ).

In their most basic form, relations and functions have an ordered pair, each consisting of a set of inputs and outputs representing a connection between two values. A set of inputs and outputs is called a relation, and the relationship between any output and one input is what we mean when we talk about function.

### Chapter 3: Trigonometric Functions

Angles, trigonometric functions, trigonometric functions of sum and difference of two angles, and trigonometric equations are all covered in this chapter of the NCERT math book for class 11. Angles are first covered by trigonometric functions and then trigonometric equations.

In the NCERT book of Mathematics for Class 11, Chapter 3 explains angles, degree measure, radian measure, the relation between radian and real numbers, the relation between degree and radian and other related topics. The real functions that relate the angle of a right-angled triangle to that of the ratio of the side lengths are referred to as trigonometric functions.

Sine, cosine and tangent are the three fundamental operations of trigonometry. In addition to these, further derived trigonometric functions include cosecant, secant, and cotangent. Trigonometric equations are presented in this chapter as equations of trigonometric functions of a variable.

### Chapter 4: Principle of Mathematical Induction

This chapter covers these topics: (1) Motivation and (2) The Principle of Mathematical Induction.

The principle of mathematical induction is defined as the way of proving numerous mathematical propositions noted in terms of n, which is a positive integer and is discussed in Chapter 4 of the NCERT Mathematics textbook for Class 11 students. Most of it comprises deductive reasoning, which requires one to determine whether or not a particular assertion is true. In this particular setting, the concept of motivation refers to mathematical induction.

### Chapter 5: Complex Numbers and Quadratic Equations

The topics of Complex Numbers, Algebra of Complex Numbers, The Modulus and the Conjugate of a Complex Number, Argand Plane and Polar Representation, Quadratic Equations and The Modulus and the Conjugate of a Complex Number are covered in the fifth chapter of the mathematics textbook for class 11 that NCERT publishes.

According to the PDF Book for mathematics for Class 11, the solution to the equation x2=-1 is the number that can be written as (a+bi), where a and b are real numbers, and the value of I can be anything. This equation cannot be satisfied by any real numbers. As a result of this, we refer to it as an imaginary number. On the other hand, if the imaginary part of a complex number is zero, then the number itself is real. The quadratic equation, written in its standard form, is denoted by the notation NPRNCR+ bx + c = 0. The formula for the quadratic function is represented graphically as a parabola, and the variables a, b, and c in the equation for the quadratic function are not equal to zero.

### Chapter 6: Linear Inequalities

The following topics are covered in this chapter: (1) Inequalities, (2) Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation, (3) Graphical Solutions of Linear Inequalities in Two Variables, and (4) Solutions of Systems of Linear Inequalities in Two Variables.

In the NCERT Mathematics Class 11 PDF, Chapter 6 demonstrates that a linear inequality fundamentally depicts an equation but has an inequality symbol in place of the equal signs. This signifies that linear inequality is not equal to anything. The solution to a linear inequality is not a single value but rather a range of values that fall inside its parameters. In the context of algebraic solutions of linear inequalities with one variable, a solution set is the collection of all possible values for the variable that can transform the inequality into a true statement.

### Chapter 7: Permutations and Combinations

The Fundamental Principle of Counting, Permutations and Combinations are covered in the seventh chapter of the NCERT textbook for Class 11 mathematics.

The concepts of permutations and combinations are related to the representation of a collection of items contained within a set and a subset, as well as to various ways of arranging data. A more precise definition of a permutation would be selecting data from inside a cluster. On the other hand, a combination refers to the sequence in which certain kinds of data are displayed. The notations of permutations and combinations are described in the chapter that can be found in the PDF textbook for NCERT Class 11 Mathematics. The notation nPr denotes the permutation of r elements from a set of n elements. The symbol nr denotes the combination of r components extracted from n.

### Chapter 8: Binomial Theorem

The following concepts are covered in this chapter: (1) the Binomial Theorem for Positive Integral Indices and (2) General and Middle Terms.

The Binomial Theorem states that for every positive integer (n), the nth power of the sum of two numbers, x, and y, may be written as the sum of n plus 1. This is because the two numbers add up to n. Pascal’s Triangle is included in elaborating the binomial theorem found in Chapter 8 of the 11th NCERT Maths book in a PDF format. The expansion of the general term for (a + b)n is represented by the equation Tr + 1 = nCran– r. br. The square of a binomial is the sum of the squares of the first term, the square of the last term and twice the product of the two terms. Binomial factors include polynomial factors that only have two components.

### Chapter 9: Sequence and Series

Sequences, series, arithmetic progression, geometric progression, the relationship between arithmetic and geometric progression and the sum to n terms of special series are all covered in this chapter.

According to the explanation provided in Chapter 9 of the PDF version of the mathematics textbook for Class 11, an arithmetic progression can be defined as a sequence of numbers in which each successive term is created by adding a constant quantity to the terms that came before it. On the other hand, a geometric progression is a sequence of integers in which each number is generated from the one that came before it by multiplying the same number by a constant. Each number in the progression is formed from the number that came before it. In this situation, the ratio of any two phrases that follow one another will always be equal.

### Chapter 10: Straight Lines

The following topics are covered in the mathematics chapter of the NCERT textbook for class 11: (1) the Slope of a Line, (2) Various Forms of the Equation of a Line, (3) the General Equation of a Line, and (4) the Distance of a Point from a Line.

In the NCERT textbook for Class 11 Mathematics, Chapter 10 contains not just the definition of the line but also several other related ideas. The degree to which a line is inclined can be determined by examining its slope. In addition to that, it denotes the path that a line takes.

The slope of a line can be calculated by dividing the difference in y-coordinates between two locations on a C line by the difference in x-coordinates between those same two points. This will give you the angle at which the line slopes. Equations of straight lines can be written in various formats, including (i) equation of horizontal and vertical lines, (ii) point-slope form equation of a line, (iii) two-point form equation of a line, (iv) slope-intercept form equation of a line and (v) intercept form.

### Chapter 11: Conic Sections

The following topics are covered in this chapter: (1) Sections of Cone; (2) Circle; (3) Parabola; (4) Ellipse; and (5) Hyperbola.

According to the mathematics textbook for Class 11, a circle is a congregation of all points in a plane that remain equidistant from a point placed on the plane. This is one of the definitions of a circle. The centre of the circle is considered to be the fixed point, and the distance that separates the centre from any other point on the circle is defined as the radius.

A parabola is a set of all points on a plane that are the same distance from both a fixed line and a fixed point on the plane. These points are all located on the same plane. Nevertheless, the line does not pass through this particular place. Ellipse is the shape that results when all of the points on a plane add up to the same total, and the sum of those totals remains the same between two fixed points.

### Chapter 12: Introduction to the Three Dimensional Geometry

The following topics are covered in this chapter: (1) Coordinate Axes and Coordinate Planes in Three Dimensional Space, (2) the Coordinates of a Point in Space, (3) the Distance between Two Points, and (4) the Section Formula.

In three-dimensional geometry, the coordinate axes of the rectangular Cartesian coordinate system are defined to be essentially three lines that are mutually perpendicular to one another in Chapter 12 of the NCERT book of Mathematics for Class 11. The axes are labelled x, y and z, in that order. The XY plane, the YZ plane, and the ZX plane are the planes that are determined by a pair of axes. Octants are the names of the eight individual space regions created by the coordinate planes. A point is denoted by the following notations: (x,0,0), (0,y,0), and (0,0,z) for the x-axis, the y-axis and the z-axis respectively.

### Chapter 13: Limits and Derivatives

The following are some of the topics covered in this chapter: (1) An Intuitive Idea of Derivatives; (2) Limits; (3) Limits of Trigonometric Functions; and (4) Derivatives.

Calculus is introduced in the PDF math book for class 11 through the concepts of limits and derivatives in chapter 13. The value that is approached by a function in a manner that is consistent with how input is approached towards a value is referred to as the limit of the function. The instantaneous rate of change from one quantity to another is referred to as a derivative and is regarded as a mathematical concept.

It is responsible for determining the fluctuation of the total amount each and every second. Limits and derivatives can be fundamentally differentiated from one another. A derivative is an example of a limit. A limit, on the other hand, is a function value close to the input.

### Chapter 14: Mathematical Reasoning

This chapter has the following components: (1) Statements, (2) New Statements from Old Statements, (3) Special Words/Phrases, (4) Implications and (5) Validating Statements.

The process of determining whether or not mathematical assertions are correct is an example of mathematical reasoning covered in the Class 11 Maths book PDF. Compound statements are created by combining one or more statements with the aid of connecting words such as or, and, etc., to produce a new statement that fulfils more than one purpose. Component statements are those that make up a compound statement and are referred to by that name. Only statements that can be either true or untrue will be included in a mathematically admissible statement, and only those statements will be included.

### Chapter 15: Statistics

Measures of dispersion, range, mean deviation, variance and standard deviation, and an analysis of frequency distributions are the topics covered in this chapter.

The scattered data dispersion measures based on observation and central tendency are discussed in Chapter 15 of the PDF version of the NCERT Mathematics Course for Class 11. The numerous ways in which dispersion can be measured are as follows: range, standard deviation, quartile deviation and mean deviation. The range is understood as maximum value – minimum value.

### Chapter 16: Probability

The following topics are covered in this chapter: (1) Axiomatic Approach to Probability; (2) Event; and (3) Random Experiments.

According to what is covered in the textbook that is used for Maths Class 11 by the NCERT, random experiments involve situations in which the outcome cannot be predicted before the result. The term “outcome” refers to the whole of the outcomes that could have been obtained from a specific experiment. The sample space is comprised of a collection of such results. A subset of the sample space is what we refer to as an event.

## Why are NCERT books preferred by students and teachers alike?

The NCERT textbooks are highly regarded, not only by educators but also by the students who use them. Even though these books are, for the most part, required by students for reading in schools (for example, the NCERT books for Class 11 Maths), they are also rather popular among students due to the clear explanations and examples that they provide. There are several reasons why NCERT books are considered to be the superior choice.

The structure of the textbooks used by NCERT is uncomplicated and exact. The presentation is simple enough for kids to understand. While making it simpler for students to understand the material, it in no way diminishes the significance or importance of the material in any manner.

The issues are broken down into their component parts and clarified using examples when necessary. Students not only find it easier to read thanks to the inclusion of pictorial representations, but they also gain a deeper understanding of the material being covered.

At the end of each chapter is a collection of questions for you to consider. Students can review what they have learned in a chapter by practising them, and in the process, they may also obtain a better grasp of any questions or concerns that they may have had about the material.

The NCERT textbooks are also meticulously crafted to adhere to the curriculum outlined by the CBSE. The material discussed in this manner provides a transparent view of the content that a student is expected to master to succeed on a curricular exam.

Students need to have an in-depth understanding of the concepts so that they can provide an answer anytime the subject of sustainability is brought up in any part of the chapter. The Central Board of Secondary Education (CBSE) ensures that the questions are based on the most important concepts discussed in each chapter. If you have a firm grasp of the material, you won’t need to worry about doing poorly on tests.

The students need to have the principles of each chapter broken down for them in a way that is easy to understand. The NCERT texts should be utilised in as many classrooms as possible, and educators should make a determined effort to do so. Students should not concentrate on the chapter’s tasks and solutions; they should master the essential concepts and ideas presented in the chapter.

## Advice from experts to top in Class 11 maths:

The mathematical concepts taught in CBSE Class 11 differ substantially from those taught in secondary school. Despite the significant drop in mathematical sophistication, there is no need to be concerned. If you want to pass the mathematics exam for CBSE Class 11, consider using the following tips:

Have the mindset that you will regularly study and work throughout the year, which means accomplishing something, even if it is just a little bit each day. There are a lot of online lectures that explain all of the principles and answer in-text questions. One example is the lectures provided by Extramarks. Many educators have made their expertise available to students for free on YouTube.

Choosing a teacher or mentor who is a good fit for you is extremely important. Look for someone who can light a fire under you no matter what activity you undertake, as education depends on students having a positive attitude. Young minds are quite active, and they have tremendous potential if they are allowed to mature appropriately. Extramarks employs a lot of qualified educators and provides engaging and one-of-a-kind workshop opportunities in addition to this.

It is not as important that you understand the question itself as it is that you can solve any similar questions. Try it once, twice, or even three times, but don’t give up on the concepts; rather, ask your instructor to clarify them until you fully understand what they mean.

There are a few chapters that you simply cannot skip over due to their significance in mathematics. These chapters include the following: They will follow you up to the Class 12 and are often asked questions in competitive examinations: 1) Set Theory and Related Topics, 2) Trigonometry, 3) Permutations and Combinations and 4) The Binomial Theorem

There are no shortcuts to becoming proficient in mathematics; if you want to perform well in this study area, you will need to put in a lot of work to get there. Although a plethora of mathematical literature is available, the NCERT remains the standard reference for educators everywhere and comes highly recommended. As a consequence of this, one is required to finish reading the NCERT of Mathematics before referring to any other publications.

## Achieve Success with Extramarks!

Although there is no replacement for hard work, a little bit of smart work is also important to accomplish your goals. Extramarks is dedicated to providing you with the direction and assistance you need to succeed in your upcoming exams. We provide assistance from subject experts with years of experience and who offer all assistance you may require for optimal preparation and excellent marks. E-learning has emerged as a prominent topic of discussion in the world of education in recent years. Simply said, Extramarks has taken the entire social structure that takes place online between a student and an instructor and incorporated it into its own platform. The effort made by the government to make e-learning and digital education more widespread is an encouraging and forward-thinking step.

Many students are already using the services offered by Extramarks, demonstrating the company’s continued growth and success. It will not come as a surprise to anyone if Extramarks ends up becoming one of the most significant assets in the field of digital education. It’s important that you recognise that this could negatively damage traditional teaching techniques like coaching centers and private tutoring groups. Kids and their parents have increasing confidence in their educational system, reflected in the widespread availability of one-on-one tutoring sessions.

You will also have the opportunity to get any questions you have answered during our live classes. On the web platform, you will also find various other resources, such as NCERT books for class 11 Maths, study notes, question solutions and other materials applied to a wide range of classes and topics.

## 1. What is the NCERT Book Class 11 Maths Syllabus?

Students must understand the format of the exam question paper to perform successfully. The question paper is designed to make the math topic easy to understand and is based on the CBSE Class 11 Maths Syllabus. There are 16 chapters in the Class 11 NCERT Math books. Sets, Relations and Functions, Trigonometric Functions, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutations and Combinations, Binomial Theorem, Series and Sequences, Straight Lines, Conic Sections, Introduction to Three Dimensional Geometry, Limits and Derivatives, Mathematical Reasoning, Statistics and Probability are some of the topics covered in this course.

## 2. I want to attain perfect marks. Thus, is it a good idea to use NCERT books for CBSE Class 11 Maths?

Books for Class 11 from NCERT Maths are a powerful tool necessary for complete learning and  getting a flawless math score. The possibility of applying the same technique in daily life enables students to deal with real-world situations. Maths NCERT books for Class 11 can be very beneficial in many ways, paving the road for success not just in CBSE Class 11 Math but also in Class 12 and higher education beyond that. This will help students create a mindset that will help them pass challenging tests like the JEE and engineering admissions exams.

## 3. What is the distance between two straight lines that are parallel?

As explained in the 11th NCERT Maths PDF, the distance between two parallel straight lines is a measurement of the perpendicular line that, when positioned in the Cartesian plane, passes between two parallel lines. In other words, it is equivalent to the perpendicular distance between a point and a line. Any two straight lines in the Cartesian plane can be in one of several different relationships to one another, including intersecting, skewed or parallel lines. It’s crucial to remember that there is zero space between any two intersecting lines.

## 4. What are Sets?

NCERT PDF for Class 11 According to mathematics, sets are defined as collections of items that can be represented in two different ways: (1) in tabular or roster form and (2) in set-builder form. All set members are enclosed in braces and separated by commas in a Roster form. In contrast, the set builder form sets the properties that each element satisfies. In contemporary mathematics, the idea of a set is fundamental. This idea is used in almost all branches of mathematics nowadays. Sets are used to define the concepts of relations and functions. Understanding sets is necessary to study many other topics, including geometry, sequencing, probability, etc.