NCERT Solutions for Class 11 Maths

The Solutions of Class 11 Maths have been updated as per the ongoing academic session 2022-23. It is prepared by our subject matter experts by keeping in mind the level of students' understanding ability. They have tried their best to make the NCERT Solutions for Class 11 Maths easy to comprehend. Class 11th Mathematics has a bit higher level questions and concepts so, it contains a few complex topics that are a little challenging to answer. However, you don’t need to worry because our subject matter experts have simplified all those complex math problems in an easy to understand way.

These NCERT Solutions of Class 11 Maths are organized systematically and cover all the 16 chapters that are included in the syllabus of class 11 mathematics. Therefore, the NCERT Class 11 Maths provides comprehensive learning along with that it helps students to develop better math skills along, logical thinking capability and reasoning skills. The difficulties have been simplified in a stepwise manner and explained here in these solutions to make learning much more comfortable. 

It is considered one of the best study resources for the 11th standard students who have opted for maths in their class 11th. These class 11 maths NCERT solutions help in clearing all your doubts related to the mathematics in this class. 

NCERT Solutions Class 11 Maths Chapters Wise PDF

NCERT Solutions Class 11 Maths Chapters Wise PDF can be downloaded for free here. In class 11th Maths there are a total of 16 chapters which start from Chapter 1 Set and end at Chapter 16 Probability. Those who face issues while solving the questions from these chapters can easily refer to these NCERT Solutions Class 11 Mathematics for free in PDF Format.

These chapter-wise maths solutions guide students to solve all questions given in every individual chapter, in addition to that there are miscellaneous exercises solutions too. By downloading these Chapter-wise Class 11 Maths NCERT Solutions you can practice for the final exams and gain an in-depth understanding of all the concepts, theorems, and etc. Follow the below-given links to download the chapter-wise NCERT Solution Class 11 Maths.

NCERT Solutions for Class 11 Maths Chapter 1 Sets

NCERT Class 11 Maths Chapter 1 discusses various concepts of Sets. It is distributed in 12 subtopics starting from Introduction to the Sets and their Representations, The Empty Set, Finite and Infinite Sets, Equal Sets, Subsets, Power Set, Universal Set, Venn Diagrams, Operations on Sets, Complement of a Set, Practical Problems on Union and Intersection of Two Sets. This chapter helps students to learn new things about the set along with learning how to draw Venn diagrams?, what are the concepts of Union and Intersection of sets?, etc. 

NCERT Solutions Class 11 Maths Chapter 1 Sets Exercises

This chapter contains 6 exercises along with miscellaneous exercises to give students a plethora of questions to be well versed with the concepts of it. The set chapter 1 of CBSE Class 11 maths is ideal for the term 1 examination. Students should solve all the questions and practice their questions to get a good score in maths. This solution will help in doing so.

NCERT Solutions for Class 11 Maths Chapter 2 Relations & Functions

NCERT Solutions for Class 11 Maths Chapter 2 Relations & Functions that is ideal for Term I aid the students to learn How to link pairs of objects from two sets and then introduce relations between the two objects in the pair? Special relations which will qualify the be the functions, Cartesian products of Sets, Some Functions and their graphs, Algebra of real functions, domains, co-domain, etc. It consists of three exercises and one miscellaneous exercise to understand the concepts thoroughly.

The Relations and Functions Chapter 2 Solutions helps the students to simplify these topics and their concepts. Download the exercise wise solutions from the below given table.

NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions

NCERT Solutions for Class 11 Maths Chapter 3 Trigonometric Functions make students aware to generalise the concept of trigonometric ratios to trigonometric functions and study their properties. This chapter aids students to understand the positive and negative angles, method of measuring angles in radians as well as in degrees and conversion from one measure to another. Chapter 3 Trigonometric Functions also deals with the definition of Trigonometric Functions with the help of unit circle, general solution of trigonometric equations, signs, domain and range of Trigonometric Functions and their graphs.

NCERT Solutions Class 11 Maths Chapter 3 Trigonometric Functions Exercises

Apart from this, the chapter helps the students to learn various concepts rigorously. It is an important chapter for the term 2 exams, So, students are advised to be thorough with this chapter and solve all the given 4 exercises and Miscellaneous exercise’s problems.

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction covers a wide range of topics that includes the principle of mathematical induction. In this chapter there is only one exercise which helps the learners to learn the application of this principle. The links to download the exercise solutions of chapter 4 are given below.

NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations

NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations centered around the need of Complex numbers, their definitions, applications and about the algebraic properties, etc. From the first introduction page, students will understand what is a complex number? For instance, A number of the form a + ib, where a and b are real numbers, is defined to be a complex number. This definition of the complex numbers is given in the NCERT Class 11 Maths Textbook. Those who practice the problems given in the chapter will be able to understand it more rigorously.

NCERT Solutions Class 11 Maths Chapter 5 Complex Numbers and Quadratic Equations Exercises

Therefore, students are suggested to refer to the class 11 maths solutions chapter 5. It will help them in solving all the questions and give them detailed insights on how to solve such questions in a systematic manner.

NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities

NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities give the learns a brief Introduction to the topics and then it covers the wide range of topics, such as Inequalities, Algebraic Solutions of Linear Inequalities in One Variable and their Graphical Representation, Graphical Solution of Linear Inequalities in Two Variables, Solution of System of Linear Inequalities in Two Variables. There are a total of 3 exercises and a miscellaneous exercise is given in this chapter which includes all the topics covered in the chapter. Solving all those questions will help the students to score well in their final exams.

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations

NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations help students to learn the counting techniques with which they can easily determine the number of different ways of arranging and selecting objects without actually listing them. This chapter comprises the Fundamental principle of counting, factorial n. (n!), permutations, combinations, derivation of formulae and their connections along with simple applications. There are a total of 4 exercises and one miscellaneous exercise for the practice purpose and getting in depth knowledge of the chapter. 

NCERT Solutions Class 11 Maths Chapter 7 Permutations and Combinations Exercises

Using the solutions will boost the learning process and it will help in preparing for the annual examination.

NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem

This chapter gives students the ability to solve complex calculations. NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem guide students for Binomial Theorem for Positive Integral Indices, how to expand the higher powers of a binomial with the help of Pascal’s triangle, and etc. It also discusses the history, statement and proof of the Binomial Theorem for positive integral indices. In this chapter 2 exercises are given to the students to practice and solve them to be thorough with the Binomial Theorem. 

For the convenience of students the links to download the solutions of this chapter in PDF file format is given below.

NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series

NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series for Term I facilitate students to be well versed with the topic Sequences and Series. A sequence is an ordered list of numbers where the sum of all the terms of a sequence is a series. 

The chapter contains a detailed explanation of the following terms Sequence and Series, Arithmetic Progression (A. P.). Arithmetic Mean (A.M.) Geometric Progression (G.P.), general term of a G.P., the sum of n terms of a G.P., infinite G.P. and its sum, geometric mean (G.M.), the relation between A.M. and G.M. It has a total of 4 exercises and one miscellaneous exercise to practice the questions based on the given topics.

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines make students aware to the Slope of a Line, Slope of a line when coordinates of any two points on the line are given, Conditions for parallelism and perpendicularity of lines in terms of their slopes, Angle between two lines, Collinearity of three points, Various Forms of the Equation of a Line, Horizontal and vertical lines, Point-slope form, etc. In this chapter there are a total of 3 exercises and one miscellaneous exercise to help students to practice the questions based on the studied topics of Straight line.

NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections

Students can find a detailed discussion on Conic Sections in this Chapter. This chapter also discusses some other curves, such as Circles, ellipses, parabolas and hyperbolas. The topics that have been taught in this chapter have a wide range of applications in various fields. Therefore, having a rigorous understanding of this chapter is crucial. The solutions that are given in the below table can help students to solve all the exercises’ problems. It contains 4 exercises.

NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three-dimensional Geometry

NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three-dimensional Geometry help students learn the basic concepts of geometry in three-dimensional space. It consists of a detailed explanation of coordinate axes and coordinate planes in three dimensions, coordinates of a point, distance between two points and section formula. Apart from the exercise to practice the problems it includes the miscellaneous exercise to provide students with additional questions to practice.

NCERT Solutions for Class 11 Maths Chapter 13 Limits and Derivatives

The chapter, limits and derivatives, are divided into two terms this year. For term 1 Limits will be used to ask the questions and in term 2 derivatives topics will be used to ask the questions. These topics or this chapter is an introduction to calculus. There are 2 exercises and a miscellaneous exercise that covers all the topics in the chapter precisely. Each topic and subtopics have been elaborated by giving their examples or applications. 

NCERT Solutions Class 11 Maths Chapter 13 Limits and Derivatives Exercises

Many students find calculus a bit difficult where many are extremely good at it. However, no matter what your understanding level in this chapter, the given NCERT class 11 maths solutions will aid in solving all the questions.

NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning

This chapter gives students a Basic idea of Mathematical Reasoning. In Mathematics there are two types of reasoning, one is Inductive and another one is deductive. This chapter has discussed some fundamentals of deductive reasoning. There are a total of 5 exercises and one additional miscellaneous exercise to help students to understand the topics deeply. It also helps in improving the power of mathematical reasoning. Download the complete set of solutions for each exercise from the below given table.

NCERT Solutions for Class 11 Maths Chapter 15 Statistics

NCERT Solutions for Class 11 Maths Chapter 15 Statistics deals with some of the important measures of dispersion and their methods of calculation for ungrouped and grouped data. Students get full insights of this chapter by solving all the exercises given in this chapter. Therefore, there are a total of 3 exercises along with a miscellaneous exercise. 

Students can refer to the given solutions of this chapter to get help in solving the problems.

NCERT Solutions for Class 11 Maths Chapter 16 Probability

Probability is the topic that discusses the certainty and uncertainty of an incident. In this chapter, students will learn the concepts such as random experiments; outcomes, sample spaces (set representation) and Events, etc. The probability of an event, the probability of ‘not’, ‘and’ and ‘or’ events are also covered in the chapter completely in detail. To understand the concept of probability properly, students can solve the 3 exercises along with the miscellaneous exercise. If they are stuck at some questions they can refer to the NCERT Solutions class 11 maths.