NCERT Solutions for Class 11 Maths

Class 11 Maths NCERT Solutions - Free PDF

NCERT Solutions for Class 11 Maths provided by Vedantu here have been solved by the best Mathematics teachers, who have many years of experience in the field of CBSE Board education. The solutions have been developed in order to assist students as they solve the complex numericals provided in the CBSE textbook. All the 16 chapters as prescribed by CBSE have been included in NCERT Maths Class 11 Solutions. Students preparing for their exams will greatly benefit from using NCERT Solutions for Maths Class 11 as all the chapters have been covered under the same. 


For students appearing in Class 11 Maths exam, these NCERT solutions can prove to be of great help. The detailed solutions provided here allow students to have a more concise understanding of the chapter as a whole.

NCERT Solutions for Class 11 Maths - Free PDF Download

The Class 11 Maths Solutions for NCERT have been drafted by some of the best subject experts at Vedantu. To make the process of referring to these solutions even more convenient for the students, we provide a free PDF of the same. You can choose to download the same from the official website and keep it handy. Additionally, you can also choose to resolve your doubts by attending live classes on the platform offered by some of the expert academicians across the country.

These solutions of NCERT Class 11 maths have been provided in a systematic manner. The methodical arrangement of these solutions chapter-wise ensures that students can utilise their time judiciously. The step-by-step explanations provided in these solutions will allow students to grasp the concept behind each topic. To ensure smooth learning, the experts have destructured even the most complex problems in a logical manner. Also, all the Class 11 chapters’ solutions are 100% accurate and as per the NCERT (CBSE Board) guidelines and syllabus.

Scoring high in Mathematics is not a dream too unattainable with these NCERT Solutions. All the exercises of the Class 11 Maths textbook as per the latest syllabus have been extensively covered in these NCERT Class 11 Maths Solutions. These solutions will allow students to learn about the applicability of the various concepts in real life. Additionally, these will also benefit them in Class 12 and while preparing for various competitive examinations. With students solving complex problems, their approach towards solving questions in entrance examinations like JEE will also be polished. Students can also refer to the important questions of Class 11 Mathematics as they prepare for different exams.

The details of all the chapters included in Maths Class 11 NCERT Solutions are provided below:


NCERT Solutions Maths Chapter 1 Class 11 Sets

A set is defined as the characterized accumulation of the various items. Sets are an integral part of modern-day Mathematics. The concepts of relations and functions are characterised by using sets. Learning of sets also aids in the understanding of the concepts of sequences, probability, geometry and more. This chapter provides hypotheses to deal with sets consistently. Students need a good grasp of this chapter for the understanding of more complex concepts.



Maths NCERT Solutions Class 11 Chapter 2 Relations and Functions

An upgrade on Sets, Relations and Functions explores the idea of linking pairs of objects from two different sets and then deriving relations between the said objects of the pair. Certain relations qualify as functions, a crucial concept in Mathematics for its capturing of the idea of two quantities corresponding with each other and the correspondence is mathematically precise. All this and much more has been explained in a fun and creative way in this chapter.



Class 11 Maths NCERT Solutions Chapter 3 Trigonometric Functions

This chapter generalises the concepts of trigonometric ratios to trigonometric functions along with the study of their properties. Students get to explore the dynamic world of trigonometry as they attempt and solve the various numerical problems provided in this chapter.



NCERT Solutions Maths Class 11 Chapter 4 Principle of Mathematical Induction

With just one exercise, this chapter can prove to be quite interesting for students who have a knack for Mathematical induction. Be sure to familiarize yourself with the concepts as they are useful in higher studies as well.


Chapter 4 - Mathematical Induction Exercises in PDF Format

Exercise 4.1

24 Questions & Solutions


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

The framework of real numbers is stretched to complex numbers to accommodate the square root of negative numbers. The concept of complex numbers finds a profound use in higher Mathematics, so ensure that you are thorough with all the concepts included in the chapter. 


Chapter 5 - Complex Numbers and Quadratic Equations Exercises in PDF Format

Exercise 5.1

14 Questions & Solutions

Exercise 5.2

8 Questions & Solutions

Exercise 5.3

10 Questions & Solutions


NCERT Solutions Maths Chapter 6 Class 11 Linear Inequalities

A very important chapter from an examination point of view, this chapter can also prove to be very interesting if you are thorough with all the concepts. Two quantities are more often unequal than equivalent. The concepts and exercises included in this chapter will open up your mind to how inequalities are a part of everyday life. 



NCERT Class 11 Maths Solutions Chapter 7 Permutations and Combinations

Students in this chapter are introduced to the advanced concepts of permutation and combinations which are a crucial part of learning mathematics as their applications are found in many other fields as well. There are a total of 4 exercises in this chapter with 31 questions based on the concepts of Permutations and Combinations.



NCERT Solutions Chapter 8 Class 11 Binomial Theorem

Persian Mathematician Omar Khayyam, in the 11th century, provided the general formula for (a + b)n, where n is a positive whole number. This equation or its expansion has been provided in this chapter Binomial hypothesis.


Chapter 8 - Binomial Theorem Exercises in PDF Format

Exercise 8.1

14 Questions & Solutions

Exercise 8.2

2 Questions & Solutions


NCERT Solutions Class 11 Maths Chapter 9 Sequences and Series

The topics of Geometric Progression, Arithmetic Progression, General Term of a G.P, Sum to n terms of a G.P etc., are included in the chapter Sequence and Series. This chapter carries a high weightage in the exam. So make sure to practise all the exercises included. 



Class 11 Maths Chapter 10 NCERT Solutions Straight Lines

In this chapter, you will study some important topics like the Slope of a line, the angle between two lines, Collinearity between two points, horizontal and vertical lines and much more. Make sure you practise sums from all the three exercises included in this chapter.



NCERT Solutions Class 11 Maths Chapter 11 Conic Sections

Conics include curves such as circles, ovals under its broad aegis while parabolas and hyperbolas are referred to as conic segments. In addition to adding to your knowledge about the various geometric figures, you will also get to learn about their significance and application on the x, y and z axes. 



NCERT Solutions Maths Chapter 12 Class 11 Introduction to Three Dimensional Geometry

Conic sections pave the way for 3D geometry as we learn about the applications of the conical segments here as well.  Coordinate geometry has been extensively dealt with in this chapter and students also get to practise from the three exercises. 


Chapter 12 - Introduction to Three Dimensional Geometry Exercises in PDF Format

Exercise 12.1

4 Questions & Solutions

Exercise 12.2

5 Questions & Solutions

Exercise 12.3

5 Questions & Solutions


NCERT Solutions Class 11 Maths Chapter 13 Limits and Derivatives

Calculus, a very important concept of Mathematics, associated with the study of change in the value of a function with the change of points in the domain is explained in this chapter. Students, through this chapter, are introduced to the vast world of calculus, which finds a host of applications across various fields. 


Chapter 13 - Limits and Derivatives Exercises in PDF Format

Exercise 13.1

32 Questions & Solutions

Exercise 13.2

11 Questions & Solutions


Class 11 Maths Chapter 14 NCERT Solutions Mathematical Reasoning

This chapter mostly deals with deductive reasoning and students find it to be very engaging as they are required to deduce solutions to problems on the basis of scenarios provided. 



Class 11 Maths Chapter 15 NCERT Solutions Statistics

Statistics is an integral component of higher mathematics. Topics such as range, mean deviation, Measures of dispersion, Standard deviation, Mean deviation for ungrouped data, etc., are dealt with in detail in this chapter.



NCERT Solutions Class 11 Maths Chapter 16 Probability

Probability is computing the level of the conviction of occasions under perfect conditions. A much-used concept in various spheres of life, students should make sure they understand the underlying core concerts and the applications in order to attempt a maximum number of questions from this chapter.



NCERT Solutions are a preferred study resource among students and with Vedantu you can download the same for absolutely zero cost. Keep your required study materials handy and prepare well for your exams.


Class 11 Maths Solutions for Students

What makes the NCERT class 11 Maths solutions worth downloading and use for learning purposes is the way it is being drafted. Subject experts of Vedantu have drafted every chapter of the Maths subject according to guidelines set by the CBSE board. So if students and parents are thinking that these solutions won't help then they need to check it out.

The best part is the free download of the PDF format of the solution. Students don't have to pay a penny for the solution. Each chapter is freely available and can be downloaded with a single click.


Solution for Future Reference

One of the benefits of downloading NCERT solutions for class 11 maths is they can be used for future reference. The class 11 Maths subjects carry chapters that are essential in preparing for engineering entrance exams. So once you download the PDF format, you can save it and use it for future reference. Therefore, students can exercise each chapter on a regular basis for scoring better marks. In other words, these solutions provide proper guidance and a proper learning experience.


Covering All Chapters in One Solution

The NCERT solutions for class 11 maths cover all 16 chapters in one set. You can either download all the sets at once or different chapters. Chapters covered are- Relations & Functions, Trigonometric Functions, Principle of Mathematical Induction, Complex Numbers and Quadratic Equations, and others. Subject experts have explained every chapter in clear language to make students understand.


Help in Exam Preparation

These solutions for class 11 Maths are systematic. Moreover, it helps in time management for the final exam. The step-by-step explanations will allow students to grasp the concept behind each topic. Since each chapter contains questions, students can practice the same for the exam. The ultimate aim is to score high in the exam.


Key Benefits of NCERT Solutions Class 11 Maths

  • Students can learn the NCERT solution class 11 Maths within the comfort zone. Once downloaded, they can prepare as per the timeline on desktop and mobile. Since it is available for free, students can further relax.

  • Students can customize their learning experience by completing each topic at their own pace.

  • Not just Maths, but students can opt for other subject solutions in PDF format and do the learning.

All the chapters and their concepts are explained in detailed format, so students don't get confused. Since maths is a complex subject, students have the freedom to practice at their own pace and prepare for future exams.


Vedantu Gives You Competitive Edge

Vedantu’s NCERT Solutions for Class 11 Maths and other subjects’ experts familiarize the students with these topics so that the speed of learning is improved drastically. Thus, it helps in efficient time management skills for better results in the exams. You get to practice all the exercise questions and improve your mathematical skills. Register for our free webinar class with the best Mathematics tutor in India. Also, the Vedantu Learning App will benefit you by providing access to free live master - classes and free conceptual videos. You will also have access to all the PDFs of study materials and solutions. Additionally, you will be provided absolutely FREE Online Tests. You will have all the required standard study materials handy and this will make the process of learning easier for you.

FAQs (Frequently Asked Questions)

Q1. How Many Chapters are There in Class 11 Maths NCERT Textbook?

Ans: There are a total of 16 chapters in NCERT Class 11 Maths textbook. The chapters are Sets (Chapter 1), Relations and Functions (Chapter 2), Trigonometric Functions (Chapter 3), Principle of Mathematical Induction (Chapter 4), Complex Numbers and Quadratic Equations (Chapter 5), Linear Inequalities (Chapter 6), Permutations and Combinations (Chapter 7), Binomial Theorem (Chapter 8), Sequences and Series (Chapter 9), Straight Lines (Chapter 10), Conic Sections (Chapter 11), Introduction to Three Dimensional Geometry (Chapter 12), Limits and Derivatives (Chapter 13), Statistics (Chapter 15) and Probability (Chapter 16). You can find NCERT Solutions for Maths Class 11 on Vedantu’s website.

Q2. How Vedantu's NCERT Solutions for Class 11 Maths helps in scoring good marks?

Ans: The class 11 maths solution is framed by subject experts as per the CBSE guidelines. Each chapter comes with a proper explanation and all major points are covered to ensure the concept is understandable. The solution will help students in improving problem-solving skills.

Q3. Why Do Most of the Students Find Class 11 Maths CBSE Syllabus Difficult to Study?

Ans: Students often have difficulty in coping with the Class 11 Maths syllabus as they find it to be widely varying from what they had learned in Class 10. Students are also often overwhelmed with a vast range of new concepts that they are introduced to in the syllabus of Maths in Class 11 and often feel that they are not able to comprehend all the topics. Class 11 Maths NCERT textbook is thoughtfully designed to explain every concept in a simple manner. Hence, students need not panic in advance. If they have any doubts regarding any topic, they can register on Vedantu’s site and join LIVE Classes taken by experts.

Q4. Does the solution cover all chapters?

Ans: Yes, the NCERT Solutions for Class 11 Maths cover all 16 chapters. Each chapter comes with a solution and questionnaire according to the board.

Q5. Where Can I Get NCERT Solutions for Class 11 Maths in Free to Download PDF Format?

Ans: Vedantu provides the Class 11 NCERT Solutions for Maths in a PDF format. This PDF can e downloaded for absolutely no cost. The solutions in this PDF have been provided in a stepwise manner and this allows students to familiarise themselves with all the concepts included in the syllabus of Class 11 Maths. To download the PDF, students are simply required to log in to the official website. Moreover, the solutions have been prepared by subject experts and academicians. Hence, students can rely on them without any second thoughts. So grab your copy of the PDF today.

Q6. Which are the best books for preparing Class 11 Maths?

Ans: There are a lot of books available in the market that claim to be the best to prepare for the Class 11 Maths exam. This can be overwhelming for the students. However, the most important book that students need to focus on is the NCERT textbooks. These books cover the curriculum well. Most of the questions in the exam will be directly or indirectly from NCERT textbooks. In order to prepare well, you can use Vedantu's NCERT Solutions for Class 11 Maths.

Q7. Name the important concepts discussed in Chapter 11 of NCERT Solutions for Class 11 Maths.

Ans: Here are some important concepts in Chapter 11 of NCERT Solutions for Class 11 Maths; all of which you can find on Vedantu (vedantu.com):

  • Concept of Subset, Superset, and Power Set

  • Cartesian Product of Sets

  • Concept of Relations

  • Real-Valued Functions

  • Signs of Trigonometric Functions

  • Trigonometric Functions and Their Graphs

  • Trigonometric Identities and equations

  • Modulus and Conjugate of a Complex Number

  • Polar Representation of Complex Numbers

  • General and Middle Term of a Binomial Expansion

  • Concept of Permutations when All Objects are Distinct

  • Concept of Permutations when All Objects are Not Distinct

  • Concept of Combinations

  • Solving Linear Inequalities in One Variable

  • Solving a System of Linear Inequalities in Two Variables

  • Sum of n Terms of an Arithmetic Progression

  • Properties of Arithmetic Progressions and the Concept of Arithmetic Mean

  • nth term and Sum of n Terms of a Geometric Progression

  • Concept of Geometric Mean and Its Relation with Arithmetic Mean

  • Sum of n Terms of Special Series

  • Angle between Two Lines

  • Point-slope and Two-point Form of Straight Lines

  • Slope-Intercept Form of Straight Lines

  • Intercept Form of Straight Lines

  • Normal form of Straight Lines

  • Distance of a Point from a Line and Distance between Two Parallel Lines

  • Circle

  • Parabola

  • Ellipse

  • Hyperbola

  • Distance between Two Points in Three Dimensional Space

  • Section Formula

  • Limit of a Polynomial and a Rational Function

  • Limit of a Trigonometric Function

  • Derivative of a Function

  • Derivative of Trigonometric and Polynomial Functions

  • Negation of a Statement.

  • Implications.

  • Validity of “If-then” and “If and only if” Statements.

  • Validation of a Statement by Method of Contradiction and by Giving a Counterexample.

  • Mean Deviation for Continuous Frequency Distribution.

  • Variance and Standard Deviation of Continuous Frequency Distribution.

  • Coefficient of Variation.

  • Finding Probability Using Complement of a Known Event.

  • Algebra of Events and Mutually Exclusive and Exhaustive Events.

  • Probability of an Event.

Q8. What are the main topics covered in Relations and Functions of NCERT Solutions for Class 11 Maths?

Ans: Here are some main topics covered in Relations and Functions of Vedantu’s NCERT Solutions for Class 11 Maths:

  • Cartesian product of sets.

  • Cartesian product of the reals with itself (up to R × R × R).

  • Co-domain and range of a function.

  • Constant, identity, polynomial, rational, modulus, signum, and greatest integer

  • Definition of relation.

  • Domain, co-domain, and range of a relation.

  • Finite sets

  • Functions

  • Functions with their graphs.

  • Number of elements in the Cartesian product of two.

  • Ordered pairs

  • Pictorial diagrams

  • Pictorial representation of a function, domain,

  • The real-valued function of the real variable, 

  • Sum, difference, product, and quotients of functions.

Q9. How many exercises are there in Class 11 Maths?

Ans: There are 16 chapters in Class 11 NCERT Maths books and a total number of 53 exercises. You can find the solutions for all the exercises on Vedantu's website (vedantu.com). These solutions have been created by top subject matter experts. They have ensured that all the solutions are correct and the concepts are explained in an easy way. With these solutions in your hand, you will be able to finish your NCERT syllabus in no time and be prepared for the exam.

Q10. Is NCERT enough for Class 11 Maths?

Ans: Yes, NCERT textbooks are enough for your Class 11 Maths exam. NCERT textbooks are created by experts and contain all the concepts explained in detail and easy language. Also, most of the questions that will be in your exam will be directly or inspired by the NCERT textbooks. So, in order to prepare well for your Class 11 Maths exam, you have to finish the NCERT books. You can get the solutions for Class 11 Maths in PDF format on Vedantu’s website (vedantu.com) free of cost. You can download these from Vedantu mobile app as well.

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