The National Council of Educational Research and Training (NCERT) is an autonomous body entrusted with the responsibility of publishing textbooks such as the NCERT book for Class 11 Maths. For the CBSE examination, students can adhere to the NCERT book of Maths Class 11 as it elucidates on all topics and concepts included in the CBSE syllabus. All necessary topics are also systematically covered in this book.
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Moreover, study materials such as Class 11th Maths book PDF are recommended by teachers as they are highly effective in imparting students a thorough understanding of the topics.
NCERT keeps on updating the Maths books with the assistance of the newest question papers of every year. The category 11 Maths books of NCERT are alright known for their presentation the utilization of NCERT Books Class 11 Maths isn’t only suitable for studying the regular syllabus of varied boards but it also can be useful for the candidates appearing for various competitive exams, like Engineering Entrance Exams, and Olympiads. Especially this book is used for the JEE Mains exam.
NCERT Books Class 11 Maths PDF Download
| Class | 11th |
| Board | CBSE |
| Book | NCERT |
| Subject | Maths |
| Medium | English / Hindi |
| Study Materials | Free Study Materials Available |
| NCERT Maths | NCERT Maths Book Class 11 PDF Download |
NCERT Class 11 Maths Books in English
NCERT Class 11 Mathematics Books are provided in PDF form so that students can access them at any time anywhere. Class 11 NCERT Mathematics Books are created by the best professors who are experts in Mathematics and have good knowledge of the subject.
- Download Complete Book – Class 11 Maths English Medium Book PDF Download
- Chapter 1: Sets
- Chapter 2: Relations and Functions
- Chapter 3: Trigonometric Functions
- Chapter 4: Principle of Mathematical Induction
- Chapter 5: Complex Numbers and Quadratic Equations
- Chapter 6: Linear Inequalities
- Chapter 7: Permutations and Combinations
- Chapter 8: Binomial Theorem
- Chapter 9: Sequences and Series
- Chapter 10: Straight Lines
- Chapter 11: Conic Sections
- Chapter 12: Introduction to Three Dimensional Geometry
- Chapter 13: Limits and Derivatives
- Chapter 14: Mathematical Reasoning
- Chapter 15: Statistics
- Chapter 16: Probability
- NCERT Answers
- Appendix I
- Appendix II
- Prelims
NCERT Books for Class 11 Maths (Hindi Medium)
- Download Complete Book – Class 11 Maths Hindi Medium Book PDF Download
- अध्याय 1: समुच्चय
- अध्याय 2: संबंध एवं फलन
- अध्याय 3: त्रिकोणमितीय फलन
- अध्याय 4: गणितीय आगमन का सिद्धांत
- अध्याय 5: सम्मिश्र संख्याएँ और द्विघातीय समीकरण
- अध्याय 6: रैखिक असामिकाएँ
- अध्याय 7: क्रमचय और संचय
- अध्याय 8: द्विपद प्रमेय
- अध्याय 9: अनुक्रम तथा श्रेणी
- अध्याय 10: सरल रेखाएँ
- अध्याय 11: शंकु परिच्छेद
- अध्याय 12: त्रिविमीय ज्यामिति का परिचय
- अध्याय 13: सीमा और अवकलज
- अध्याय 14: गणितीय विवेचन
- अध्याय 15: सांख्यिकी
- अध्याय 16: प्रायिकता
- उत्तरमाला
- Appendix I
- Appendix II
- Prelims
- Guide for Using QR Code
Why NCERT Class 11 Maths Book is Important
The importance of NCERT Books for Class 11Maths are listed below:
- NCERT Books for Class 11 Maths covers all the important topics and concepts that are prescribed in NCERT Curriculum and CBSE Class 11 Maths Syllabus.
- All the topics and concepts are explained in easily understandable language.
- Helps to build strong foundation on all the concepts.
- If students are clear with questions and answers present in NCERT books then they can easily score good marks in the examination.
- Students can easily prepare for their board exams.
- Most of the questions asked in the board examination are completely from the NCERT Solutions.
- Helps to understand the basic concepts clearly.
- Helps in preparation of scholarship exams like NTSE, Olympiad as most of the scholarship exams syllabus is same as NCERT Syllabus.
- Students who are planning to appear for toughest engineering and medical competitive exams like NEET, AIIMS, JIPMER must have good knowledge about NCERT Solutions.
- Students who are aiming to secure prestigious Government Jobs such as UPSC, FCI must have good knowledge of NCERT Books.
We hope that this detailed article on NCERT Books Class 11 Maths helps you in your preparation and you crack the Class 11 exams or competitive exams with excellent scores.
Chapter-wise Outline of the NCERT Maths Book
Chapter 1: Sets
The first chapter of NCERT book for Class 11 Maths includes – (1) Sets and their Representation, (2) Empty Set, (3) Finite and Infinite Sets, (4) Equal Sets, (5) Subsets, (6) Power Set, (7) Universal Set, (8) Venn Diagrams, (9) Operations on Sets, and (10) Complement of a Set.
As explained in the Class 11 NCERT Math book, a null or an empty set refers to such a set which contains no members. The notation symbol ∅ represents an empty set. In the case of a finite and infinite set, these terms are self-explanatory. A set will be considered to be finite when there are a starting and endpoint that is having a limited number of elements.
On the other hand, when the number of elements in unlimited, it represents an infinite set. Furthermore, you can see in Class 11 Math NCERT book PDF that a subset is essentially a part of another set. For instance, set Y will be a subset of set X if all elements of set Y comprise the elements of set X.
Chapter 2: Relations and Functions
The chapter includes – (1) Cartesian Product of Sets, (2) Relations, and (3) Functions.
Cartesian product of sets, as discussed in NCERT Maths Class 11 book PDF, is the cross product of two sets, say, X and Y, noted as XxY is the set of all ordered pairs. It implies that XxY ≠ YxX. If either X or Y is a null set, the XxY will also be an empty set, that is, X x Y= φ.
Relations and Functions are essentially an ordered pair containing a set of inputs and outputs representing a relationship between two values. A relation is a given set of inputs and outputs, wherein the relation of one output with each input amounts to function.
Chapter 3: Trigonometric Functions
This chapter of NCERT book for Class 11 Maths includes – (1) Angles, (2) Trigonometric Functions, (3) Trigonometric Functions of Sum and Difference of Two Angles, and (4) Trigonometric Equations.
The explanation of angles, degree measure, radian measure, relation between radian and real numbers, relation between degree and radian etc., are found in chapter 3 of the NCERT book of Maths Class 11. The real functions relating to an angle of a right-angled triangle with that of the ratio of side lengths are known as trigonometric functions.
The basic trigonometric functions are sine, cosine and tangent. Other derived trigonometric functions include cosecant, secant and cotangent. The chapter shows trigonometric equations as equations of trigonometric functions of a variable.
Chapter 4: Principle of Mathematical Induction
The chapter includes – (1) Motivation, and (2) The Principle of Mathematical Induction.
Chapter 4 of the NCERT Class 11 Math book PDF explains the principle of mathematical induction as the method of proving various mathematical statements noted in terms of n, which is a positive integer. It mainly includes deductive reasoning where the veracity of a given statement will have to be found out. Motivation, in this context, relates to mathematical induction.
Chapter 5: Complex Numbers and Quadratic Equations
The chapter 5 of NCERT book for Class 11 Maths includes – (1) Complex Numbers, (2) Algebra of Complex Numbers, (3) The Modulus and the Conjugate of a Complex Number, (4) Argand Plane and Polar Representation, and (5) Quadratic Equations.
As discussed in the Class 11 Maths textbook PDF, the number which is expressed in the form of (a+bi) aandb=realnumbersaandb=realnumbers and the value of i is the solution of x2=-1. Real numbers cannot satisfy this equation. Hence, it is termed as an imaginary number. However, a complex number can be purely real if its imaginary component is 0. The standard form of quadratic equation is ax2 + bx + c = 0. The graph of quadratic function formula is a parabola, and a, b, c in the quadratic equation are numbers which are not equal to zero.
Chapter 6: Linear Inequalities
The chapter includes – (1) Inequalities, (2) Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation, (3) Graphical Solution of Linear Inequalities in Two Variables, and (4) Solution of System of Linear Inequalities in Two Variables.
Chapter 6 in the NCERT Mathematics Class 11 PDF shows that linear inequality essentially represents an equation, but in the place of equal signs, it has inequality symbol. The solution of a linear inequality is not a specific value but involves a range of values. As for algebraic solutions of linear inequalities with one variable, the different values of the variable that make the inequality to be a true statement is a solution set.
Chapter 7: Permutations and Combinations
The 7th chapter in NCERT book for Class 11 Maths includes – (1) Fundamental Principle of Counting, (2) Permutations, and (3) Combinations.
The representation of a collection of objects within a set and a subset or different manner of arranging data relates to permutation and combination. To be specific, a permutation is the selection of data from a cluster. Combination, on the other hand, is the order in which such data is represented. The chapter in NCERT Class 11 Maths textbook PDF indicates the notations of permutation and combination. nPr is the permutation of r elements from a group of n elements. nCr is the combination of r elements taken from n.
Chapter 8: Binomial Theorem
The chapter includes – (1) Binomial Theorem for Positive Integral Indices, and (2) General and Middle Terms.
Binomial theorem propounds that in case of any positive integer (n), the nth power of a sum of two numbers, x and y, is expressed as a sum of n + 1. Chapter 8 in the 11th NCERT Maths book PDF includes Pascal’s Triangle for elucidation of the binomial theorem. The general term of expansion of (a + b)n is Tr + 1 = nCran– r. br. Binomial factors include such polynomial factors that have only two terms and the square of binomial is a sum of the squares of first term, square of the last term and twice product of two terms.
Chapter 9: Sequence and Series
The chapter includes – (1) Sequences, (2) Series, (3) Arithmetic Progression, (4) Geometric Progression, (5) Relationship between Arithmetic and Geometric Progression, and (6) Sum to n terms of Special Series.
As elaborated in chapter 9 of Class 11 Maths book PDF, arithmetic progression amounts to such sequence of numbers wherein the consecutive terms are established with the addition of a constant quantity with preceding terms. Geometric progression, on the other hand, is such a sequence of numbers where each number is formed from the previous one by multiplying the same with a constant. Here, the ratio of two consecutive terms will always be equal.
Chapter 10: Straight Lines
This chapter in the NCERT book for class 11 Maths includes – (1) Slope of a line, (2) Various Forms of the Equation of a Line, (3) General Equation of a Line, and (4) Distance of a Point from a Line.
The definition of line and other related concepts is provided in chapter 10 of the NCERT book for Class 11 Maths. The slope of a line is a measurement of its steepness. It also characterises the direction of a line.
A slope of a line is determined through a division of the difference of y-coordinates of two points on a line by a difference of x-coordinates of two same points. There are different forms of equations of a straight line – (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 chapter includes – (1) Sections of Cone, (2) Circle, (3) Parabola, (4) Ellipse, and (5) Hyperbola.
The definition of a circle in Class 11th Maths book PDF is a congregation of all points in a plane which remain equidistant from a point fixed on the plane. The fixed point is held to be the centre of the circle, and the radius is the distance from the centre to a point in the circle.
Parabola is set of all points on a plane which is equally distant from both, a fixed-line as well a point on the plane that is fixed. This point, however, is not located on the line. When the sum of all points on a plane have the sum, where the latter is constant between two fixed points, is an Ellipse.
Chapter 12: Introduction to the Three Dimensional Geometry
The chapter includes – (1) Coordinate Axes and Coordinate Planes in Three Dimensional Space, (2) Coordinates of a Point in Space, (3) Distance between Two Points, and (4) Section Formula.
It is defined in chapter 12 of the NCERT book of Maths Class 11 in three-dimensional geometry, coordinate axes of rectangular Cartesian coordinate system are essentially three mutually perpendicular lines. The axes are x, y and z, respectively. The planes determined by a pair of axes are the XY, YZ and ZX planes. These coordinate planes divide the space into eight distinct parts called octants. The notation of a point are – (x,0,0), (0,y,0), (0,0,z) for x-axis, y-axis and z-axis respectively.
Chapter 13: Limits and Derivatives
The chapter includes – (1) Intuitive Idea of Derivatives, (2) Limits, (3) Limits of Trigonometric Functions, and (4) Derivatives.
Chapter 13 of Class 11th Maths book PDF introduces calculus through limits and derivatives. Limit is the value that is approached by a function consistent with the approach of input towards a value. A derivative is understood as the instantaneous rate of change of a particular quantity to another quantity.
It determines the change in every moment of the amount. There is an inherent distinction between limits and derivatives. While limit is a value of function near to the input, a derivative is an example of limit.
Chapter 14: Mathematical Reasoning
The chapter includes – (1) Statements, (2) New Statements from Old, (3) Special Words/Phrases, (4) Implications, and (5) Validating Statements.
Mathematical reasoning in Class 11th Maths book PDF involves the determination of the acceptability of mathematical statement. Compound statements are obtained by the combination of one or more statements with the help of connecting words such as “or”, “and”, etc. Statements constituting a compound statement is called a component statement. A mathematically acceptable statement will comprise only such statement that can be either true or false.
Chapter 15: Statistics
The chapter includes – (1) Measures of Dispersion, (2) Range, (3) Mean Deviation, (4) Variance and Standard Deviation, and (5) Analysis of Frequency Distributions.
Chapter 15 of NCERT Mathematics Class 11 PDF discusses the measures of dispersion of scattered data based on observation and central tendency. The different measures of dispersion include – range, quartile deviation, standard deviation, and mean deviation. Range is understood as maximum value – minimum value.
Chapter 16: Probability
The chapter includes – (1) Random Experiments, (2) Event, and (3) Axiomatic Approach to Probability.
As discussed in the NCERT book of Maths Class 11, random experiments include such instances where the outcome cannot be predicted before the result. Outcome refers to all possible results of a particular experiment. A set of such outcomes comprises the sample space. An event is thus a subset of sample space.
