# NCERT Solutions for Class 11 Maths

Here NCERT Solutions for Class 11 Maths are given in the latest CBSE textbooks which are prescribed by the NCERT (National Council of Educational Research and Training). In NCERT maths class 11, there are a total of 16 chapters in Class 11 Maths included in the syllabus. All the chapter wise with exercises Class 11 Maths NCERT Solutions are well-reviewed by the expert Maths teacher. This is the bests study materials for the student who are searching for class 11th Maths solution for the Academic year 2020-2021. UP Board students also can download UP Board Solution for class 11 Maths here. You can also download NCERT class 11 maths book pdf with FREE of cost.

Find below-mentioned links for all the chapters, exercise-wise NCERT Solutions for Class 11 Maths which clear all your doubts for every sum. It helps you score good marks in your final exam. Just Download NCERT Solutions for Class 11 Maths PDF for all Exercises with FREE of Cost.

Page Contents

- 1 NCERT Solutions for Class 11 Maths All Chapters
- 2 NCERT Class 11 Maths Chapters
- 3 NCERT Solutions for Class 11 Maths Chapter 1 – Sets
- 4 NCERT Solutions for Class 11 Maths Chapter 2 – Relations & Functions
- 5 NCERT Solutions for Class 11 Maths Chapter 3 – Trigonometric Functions
- 6 NCERT Solutions for Class 11 Maths Chapter 4 – Principle of Mathematical Induction
- 7 NCERT Solutions for Class 11 Maths Chapter 5- Complex Numbers and Quadratic Equations
- 8 NCERT Solutions for Class 11 Maths Chapter 6 – Linear Inequalities
- 9 NCERT Solutions for Class 11 Maths Chapter 7 – Permutations and Combinations
- 10 NCERT Solutions for Class 11 Maths Chapter 8 – Binomial Theorem
- 11 NCERT Solutions for Class 11 Maths Chapter 9 – Sequences and Series
- 12 NCERT Solutions for Class 11 Maths Chapter 10 – Straight Lines
- 13 NCERT Solutions for Class 11 Maths Chapter 11 – Conic Sections
- 14 NCERT Solutions for Class 11 Maths Chapter 12 – Introduction to Three-dimensional Geometry
- 15 Exercise-wise Class 11 Maths NCERT Solutions Chapter 13 – Limits and Derivatives
- 16 NCERT Solutions for Class 11 Maths Chapter 14 – Mathematical Reasoning
- 17 NCERT Solutions for Class 11 Maths Chapter 15- Statistics
- 18 NCERT Solutions for Class 11 Maths Chapter 16 – Probability
- 18.1 Free NCERT Solutions for Class 11 Maths Chapter 16 in PDF
- 18.2 How to Prepare Class 11 Maths All Chapters
- 18.2.1 Chapter 1: Sets
- 18.2.2 Chapter 2: Relations and Functions
- 18.2.3 Chapter 3: Trigonometric Functions
- 18.2.4 Chapter 4: Principle of Mathematical Induction
- 18.2.5 Chapter 5: Complex Numbers and Quadratic Equations
- 18.2.6 Chapter 6: Linear Inequalities
- 18.2.7 Chapter 7: Permutations and Combinations
- 18.2.8 Chapter 8: Binomial Theorem
- 18.2.9 Chapter 9: Sequences and Series
- 18.2.10 Chapter 10: Straight Lines
- 18.2.11 Chapter 11: Conic Sections
- 18.2.12 Chapter 12: Introduction to Three Dimensional Geometry
- 18.2.13 Chapter 13: Limits and Derivatives
- 18.2.14 Chapter 14: Mathematical Reasoning
- 18.2.15 Chapter 15: Statistics
- 18.2.16 Chapter 16: Probability

- 18.3 Importance of Learn NCERT Solutions for Class 11 Maths from Tiwari Academy
- 18.4 What will be the Exam pattern of CBSE Class 11 Maths in 2020?
- 18.5 How are CBSE 11 Maths Solutions of NCERT Helpful for Final Exams?

## NCERT Solutions for Class 11 Maths All Chapters

You can download Free NCERT Solutions for Class 11 Maths All Chapters, Exercise-wise by just click these below mentioned Exercise-wise links here. You can learn and practice all solutions online node, and for offline learning, you can also download NCERT Class 11 Maths Solutions for all Chapters, Exercise-wise PDFs with FREE of cost below. These Chapter Wise NCERT Solutions for Class 11 Maths are available in both medium Hindi and English here. And you can also share these Class 11 Maths Chapter Wise Solutions in PDFs to your class mates. Here you also get UP Board Solutions and NCERT Exemplar Class 11 Maths Solutions which give you an idea of exam question pattern. You can score optimum marks with these well-defined Class 11th Maths Solutions.

### Free NCERT Solutions for Class 11 Maths All Chapters

- Class 11 Maths Chapter 1: Sets
- Class 11 Maths Chapter 2: Relations and Functions
- Class 11 Maths Chapter 3: Trigonometric Functions
- Class 11 Maths Chapter 4: Principle of Mathematical Induction
- Class 11 Maths Chapter 5: Complex Numbers and Quadratic Equations
- Class 11 Maths Chapter 6: Linear Inequalities
- Class 11 Maths Chapter 7: Permutations and Combinations
- Class 11 Maths Chapter 8: Binomial Theorem
- Class 11 Maths Chapter 9: Sequences and Series
- Class 11 Maths Chapter 10: Straight Lines
- Class 11 Maths Chapter 11: Conic Sections
- Class 11 Maths Chapter 12: Introduction to Three Dimensional Geometry
- Class 11 Maths Chapter 13: Limits and Derivatives
- Class 11 Maths Chapter 14: Mathematical Reasoning
- Class 11 Maths Chapter 15: Statistics
- Class 11 Maths Chapter 16: Probability

## NCERT Class 11 Maths Chapters

There are 16 chapters in NCERT Class 11 Maths which are based on the latest CBSE board syllabus. Some student of class 11 is worried about the vast syllabus of Class 11 Maths as compared to their early class 10. As there are many new topics are introduced in class 11. The chapters covered in this NCERT Solutions for Class 11 Maths are as Sets, Sets, Trigonometric Functions, Principle of Mathematical Induction, Principle of Mathematical Induction, Linear Inequalities, Permutations and Combinations, Introduction to Three Dimensional Geometry, Statistics, and Probability etc.

## NCERT Solutions for Class 11 Maths Chapter 1 – Sets

In this NCERT solution for Class 11 Maths Chapter 1, Sets, you came to know a detailed knowledge about Sets along with their representation. Here you get “set” is well defined with its various properties. UP Board and NCERT solutions for class 11 maths chapter 1 Sets include Empty set, Equal sets, Finite and Infinite Sets, Subsets, Power set and Universal set etc. Students get familiar with the concepts of Union and Intersection of sets which helps students study to draw the Venn diagrams too. The total numbers of chapter’s covers in the 11th Class Maths Book Solution are 6. Here you can download Free NCERT Solutions for Class 11 Maths PDF to learn anywhere and anytime. You can find Chapter Sets Class 11 Maths Solutions in Hindi Medium & English Medium here.

### Free NCERT Solutions for Class 11 Maths Chapter 1 in PDF Format

- Class 11 Maths Chapter 1 Exercise 1.1 Solutions
- Class 11 Maths Chapter 1 Exercise 1.2 Solutions
- Class 11 Maths Chapter 1 Exercise 1.3 Solutions
- Class 11 Maths Chapter 1 Exercise 1.4 Solutions
- Class 11 Maths Chapter 1 Exercise 1.5 Solutions
- Class 11 Maths Chapter 1 Exercise 1.6 Solutions
- Class 11 Maths Chapter 1 Miscellaneous Exercise 1 Solutions
- Class 11 Maths Chapter 1 Exercise 1.1 Download
- Class 11 Maths Chapter 1 Exercise 1.2 Download
- Class 11 Maths Chapter 1 Exercise 1.3 Download
- Class 11 Maths Chapter 1 Exercise 1.4 Download
- Class 11 Maths Chapter 1 Exercise 1.5 Download
- Class 11 Maths Chapter 1 Exercise 1.6 Download
- Class 11 Maths Chapter 1 Miscellaneous Exercise Solutions 1 Download

## NCERT Solutions for Class 11 Maths Chapter 2 – Relations & Functions

This FREE Class 11 Maths NCERT Solutions Chapter 2 – Relations & Functions provides you Exercise-wise solution covering all problem sums as prescribed latest CBSE Textbook. Step by Step solutions for all exercise sums is easily understood by the Class 11 Students. In this Class 11 Maths NCERT Solutions Chapter 2, you can learn about the definition of relation, concepts of ordered pairs, number of elements in the cartesian product of two finite sets, Cartesian product of sets, pictorial diagrams, domain, co-domain and range of a relation. And also you learn here about polynomial, rational, modulus, logarithmic signum, exponential, and greatest integer functions with graphical representation etc. All NCERT Solutions for class 11 maths chapter 2 Relations & Functions are based on the 12th Class Maths Book Solution. You can also download free NCERT Solutions for Class 11 Maths PDF without any registration. Find the Chapter Sets Class 12 Maths Solutions in Hindi medium and English medium here and learn which medium as per your need.

Class 11 Maths NCERT Solutions Chapter 2 – Relations & Functions has three exercises, and you can download FREE PDFs here to learn offline.

### Free NCERT Solutions for Class 11 Maths Chapter 2 in PDF

- Class 11 Maths Chapter 2 Exercise 2.1 Solutions
- Class 11 Maths Chapter 2 Exercise 2.2 Solutions
- Class 11 Maths Chapter 2 Exercise 2.3 Solutions
- Class 11 Maths Chapter 2 Miscellaneous Exercise Solutions
- Download Class 11 Maths Chapter 2 Exercise 2.1 Solutions
- Download Class 11 Maths Chapter 2 Exercise 2.2 Solutions
- Download Class 11 Maths Chapter 2 Exercise 2.3 Solutions
- Download Class 11 Maths Chapter 2 Miscellaneous Exercise Solutions

## NCERT Solutions for Class 11 Maths Chapter 3 – Trigonometric Functions

NCERT Solutions for class 11 maths chapter 3 covers positive and negative angles discussion, method of measuring angles in radians, NCERT solutions for class 11 maths chapter 3 Trigonometric Functions also covers degrees and conversion from one measure to another as well as. UP Board intermediate students can download UP Board solutions for class 11 Maths in Hindi Medium. You can learn all about the study of Trigonometric ratio to Trigonometric Functions general solution of trigonometric equations, signs, domain & range of Trigonometric Functions the graphical representation. There are four exercises in this Class 11 Maths NCERT Chapter 3 – Trigonometric Functions, where students know about sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x etc. You can also download unlimited NCERT solutions for class 11 maths PDF here. 11th class maths book solution is so beneficial for your final exam. Find both Chapter Trigonometric Functions class 12 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 3 in PDF

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

Here you can find FREE NCERT Solutions for Class 12 Maths Chapter 4, exercise-wise based on 11th class maths book solution. In this chapter, you will know about induction and motivating the application with natural numbers. And an inductive subset of real numbers. There are problem sums related to the Principle of Mathematical Induction in this chapter, along with its applications. Euclid, who is famous for his works in geometry, proof that the number of primes is endless. This Class 11 Maths NCERT Chapter 4 is so crucial for the students also. Simply click here and get Exercise-wise Maths Solutions. NCERT Solutions for Class 11 Maths pdf are available with free of cost. NCERT solutions for class 11 maths chapter 4 Principle of Mathematical Induction is also an important topic which needs to be good practice. Find here Chapter Principle of Mathematical Induction class 11 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 4 in PDF

## 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 with all exercise are well solved by the expert Mathematics teacher. All exercise sums are designed in such an easy way so that student cam=n clear their all doubts and concept. Once you understand the concept properly, then you can proceed with all exercises easily. This Chapter 5 provides you details about the algebraic properties of complex numbers, Statement of the fundamental theorem of algebra, argand plane and polar representation of complex numbers, and solutions of quadratic equations etc. There are a total of three exercises in this NCERT solution for class 11 maths chapter 5 which is based on 12th Class Maths Book Solution. Download unlimited Free Exercise-wise NCERT Solutions for class 11 maths PDF. Student can learn and practice for both Chapter Complex Numbers and Quadratic Equations class 11 maths solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 5 in PDF

- Class 11 Maths Chapter 5 Exercise 5.1 Solutions
- Class 11 Maths Chapter 5 Exercise 5.2 Solutions
- Class 11 Maths Chapter 5 Exercise 5.3 Solutions
- Class 11 Maths Chapter 5 Miscellaneous Exercise Solutions
- Download Class 11 Maths Chapter 5 Exercise 5.1 Solutions
- Download Class 11 Maths Chapter 5 Exercise 5.2 Solutions
- Download Class 11 Maths Chapter 5 Exercise 5.3 Solutions
- Download Class 11 Maths Chapter 5 Miscellaneous Exercise Solutions

## NCERT Solutions for Class 11 Maths Chapter 6 – Linear Inequalities

Find NCERT Solutions for class 11 maths chapter 6 Linear Inequalities with all exercises. Here you came to know about the concept of Linear Inequalities as the name suggests. This chapter covers concepts of the algebraic solutions of Linear Inequalities in one variable and also their representation on the number line. Linear Inequalities in two variables with graphical representations. You can have knowledge of finding a solution to the system of Linear Inequalities in two variables in NCERT Solutions for Class 11 Maths Chapter 6 has three exercises which are based on 11th Class Maths Book Solution. Here you can download and share NCERT Solutions for Class 11 Maths PDF. Find for both chapter Linear Inequalities Class 11 Maths Solutions in Hindi medium and English medium her.

### Free NCERT Solutions for Class 11 Maths Chapter 6 in PDF

- Class 11 Maths Chapter 6 Exercise 6.1 Solutions
- Class 11 Maths Chapter 6 Exercise 6.2 Solutions
- Class 11 Maths Chapter 6 Exercise 6.3 Solutions
- Class 11 Maths Chapter 6 Miscellaneous Exercise Solutions
- Download Class 11 Maths Chapter 6 Exercise 6.1 Solutions
- Download Class 11 Maths Chapter 6 Exercise 6.2 Solutions
- Download Class 11 Maths Chapter 6 Exercise 6.3 Solutions
- Download Class 11 Maths Chapter 6 Miscellaneous Exercise Solutions

## NCERT Solutions for Class 11 Maths Chapter 7 – Permutations and Combinations

Students get the Free NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations with all exercises here. If you have any doubt in NCERT Solutions for Class 11 Maths Chapter 7, then these exercise wise sums solutions are the best tool to clear your all doubts and concepts. Chapter 7 covers the Fundamental principle of counting, factorial, derivation of formulae and with its applications permutations, combinations. There are four exercises based on 12th Class Maths Book Solution that includes all questions covering all the topics which are present in the Class 11 Maths NCERT Solutions Chapter 7. Just click the links and get free NCERT Solutions for Class11 Maths PDF. Get and learn for both Permutations and Combinations Class 11 Maths Solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 7 in PDF

- Class 11 Maths Chapter 7 Exercise 7.1 Solutions
- Class 11 Maths Chapter 7 Exercise 7.3 Solutions
- Class 11 Maths Chapter 7 Exercise 7.3 Solutions
- Class 11 Maths Chapter 7 Exercise 7.4 Solutions
- Class 11 Maths Chapter 7 Miscellaneous Exercise Solutions
- Download Class 11 Maths Chapter 7 Exercise 7.1 Solutions
- Download Class 11 Maths Chapter 7 Exercise 7.2 Solutions
- Download Class 11 Maths Chapter 7 Exercise 7.3 Solutions
- Download Class 11 Maths Chapter 7 Exercise 7.4 Solutions
- Download Class 11 Maths Chapter 7 Miscellaneous Exercise Solutions

## NCERT Solutions for Class 11 Maths Chapter 8 – Binomial Theorem

NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem with all exercise sums are explained and solved by the math teacher having many years of experiences in this subject maths. All solutions are reviewed and checked thoroughly by the Mathematics experts. This NCERT Solutions for Class 11 Maths Chapter 8 which is based on 11th Class Maths Book Solution covers the history, statement and proof of the Binomial Theorem for positive integral indices. In this chapter, you know about Pascal’s triangle, binomial expansion, and with its simple applications. There are two exercises in this chapter. Simply click exercise wise sums solutions links below and learn FREE Chapter Binomial Theorem Class 11 Maths Solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 8 in PDF

- Class 11 Maths Chapter 8 Exercise 8.1 Solutions
- Class 11 Maths Chapter 8 Exercise 8.2 Solutions
- Class 11 Maths Chapter 8 Miscellaneous Exercise Solutions
- Download Class 11 Maths Chapter 8 Exercise 8.1 Solutions
- Download Class 11 Maths Chapter 8 Exercise 8.2 Solutions
- Download Class 11 Maths Chapter 8 Miscellaneous Exercise Solutions

## NCERT Solutions for Class 11 Maths Chapter 9 – Sequences and Series

This Free NCERT Solutions for Class 11 Maths Chapter 9 Sequences and Series for all exercises are very helpful for the student Class 11. You can learn about the important topics such as Arithmetic Progressions (AP), Geometric Progressions (GP), the relation between A.M. and G.M, and formulae for the special series sums & many more. There are four exercises in the total present in chapter 9 which based on 11th Class Maths Book Solution. It helps the students in understanding all the concepts and logics given in the chapter by solving all sums in it. Download FREE NCERT Solutions for Class 11 Maths Chapter 9 by simply clicking these below links. Download and share NCERT Solutions for Class 11 Maths PDF to your friend. Get here Chapter Sequences and Series Class 11 Maths Solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 9 in PDF

- Class 11 Maths Chapter 9 Exercise 9.1 Solutions
- Class 11 Maths Chapter 9 Exercise 9.2 Solutions
- Class 11 Maths Chapter 9 Exercise 9.3 Solutions
- Class 11 Maths Chapter 9 Exercise 9.4 Solutions
- Class 11 Maths Chapter 9 Supplementary Exercise 9.4 Solutions
- Class 11 Maths Chapter 9 Miscellaneous Exercise Solutions
- Download Class 11 Maths Chapter 9 Exercise 9.1 Solutions
- Download Class 11 Maths Chapter 9 Exercise 9.2 Solutions
- Download Class 11 Maths Chapter 9 Exercise 9.3 Solutions
- Download Class 11 Maths Chapter 9 Exercise 9.4 Solutions
- Download Class 11 Maths Chapter 9 Supplementary Exercise 9.4 Solutions
- Download Class 11 Maths Chapter 9 Miscellaneous Exercise Solutions

## NCERT Solutions for Class 11 Maths Chapter 10 – Straight Lines

NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines helps the students to remind the previous class two-dimensional geometry chapter. Shifting of origin, numerous forms of equations of a line parallel to the axis, angle between two lines the slope of a line and, point-slope form, slope intercept form, two-point form, intercept etc. You can also learn about here point of intersection of two lines, the distance of a point from a line form and many more. There are three exercises in NCERT Solutions for Class 11 Maths Chapter 10. Just do practice and revise thoroughly to get good marks in Class 11 Maths. Download NCERT Solutions for Class11 Maths PDF and learn when you will offline also. All solutions are based on 11th Class Maths Book Solution. Chapter Straight Lines Class 11 Maths Solutions in Hindi medium.

### Free NCERT Solutions for Class 11 Maths Chapter 10 in PDF

## NCERT Solutions for Class 11 Maths Chapter 11 – Conic Sections

This Free NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections provides you with the concept of Conic Sections in detail. A conic section is a curve which is obtained as the intersection of the surface of a cone with a plane. This chapter covers all about circle, ellipse, hyperbola, parabola, a point, a straight line and a pair of intersecting lines as a degenerate with a conic section. And all Standard equations and simple properties of circle, parabola, ellipse and hyperbola are also present in Chapter 11. There are four exercises in the total present in this chapter which are based on 11th Class Maths Book Solution. Just click and find NCERT Solutions for Class 11 Maths Chapter 11. Get Free NCERT Solutions for Class X Maths PDF without any registration. Here you find both Chapter Conic Sections Class 11 Maths Solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 11 in PDF

- Download Class 11 Maths Chapter 11 Exercise 11.1 Solutions
- Download Class 11 Maths Chapter 11 Exercise 11.2 Solutions
- Download Class 11 Maths Chapter 11 Exercise 11.3 Solutions
- Download Class 11 Maths Chapter 11 Exercise 11.4 Solutions
- Download Class 11 Maths Chapter 11 Miscellaneous Exercise Solutions

## 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 is an important chapter. Here you can get Free Exercise-wise solutions present in the NCERT Solutions for Class 11 Maths Chapter 12. There are three exercises present in this chapter which includes the concept of coordinate axes and coordinate planes in three dimensions, distance between two points and section formula, coordinates of a point, in detail. Here you can understand all problem sums in a better way. You can score more marks in Class 11 Maths final Exam by doing practice well with these solutions.

### Free NCERT Solutions for Class 11 Maths Chapter 12 in PDF

## Exercise-wise Class 11 Maths NCERT Solutions Chapter 13 – Limits and Derivatives

Here in this Class 11 Maths NCERT Solutions Chapter 13 – Limits and Derivatives, you learn about Calculus which is a Maths dealing with the study of change in the value of a function and points in the domain change. You can get an idea of derivative here, and a simple definition of a limit and some algebra of limits. And the end of the chapter you learn the description of derivative and some algebra of derivatives. There are two exercises in total and a miscellaneous exercise that overs all the topics in the Class 11 Maths NCERT Solutions Chapter 13. Just click the below-mentioned links and get FREE NCERT Solutions for Class 11 Maths PDF solutions. Here you can get all 11th Class Maths Book Solution by the professional maths teacher. And also find Limits and Derivatives Class 11 Maths Solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 13 in PDF

## NCERT Solutions for Class 11 Maths Chapter 14 – Mathematical Reasoning

In this NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning, you can find some basic ideas of Mathematical Reasoning. This chapter covers some fundamentals of deductive reasoning. There are five exercises in NCERT Solutions for Class 11 Maths Chapter 14 with in-depth about Mathematics Inductions and Deductive Reasoning. This chapter helps you in understanding the concept of Mathematical Reasoning thoroughly. You can also download unlimited NCERT Solutions for Class 11 Maths PDF with free of cost here. All solutions are based on 11th Class Maths Book Solution. You also download for both Chapter Mathematical Reasoning Class 11 Maths Solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 14 in PDF

- Download Class 11 Maths Chapter 14 Exercise 14.1 Solutions
- Download Class 11 Maths Chapter 14 Exercise 14.2 Solutions
- Download Class 11 Maths Chapter 14 Exercise 14.3 Solutions
- Download Class 11 Maths Chapter 14 Exercise 14.4 Solutions
- Download Class 11 Maths Chapter 14 Exercise 14.5 Solutions
- Download Class 11 Maths Chapter 14 Miscellaneous Exercise Solutions

## NCERT Solutions for Class 11 Maths Chapter 15- Statistics

Statistics deals with the data collected for specific purposes. This NCERT Solutions for Class 11 Maths Chapter 15 Statistics provide you with some of the important measures of dispersion and knowledge of their methods of calculation for ungrouped & grouped data as well. Students can learn range, mean deviation, analysis of frequency distributions variance and standard deviation of ungrouped or grouped data etc. There are three exercises in the NCERT Solutions for Class 11 Maths Chapter 15. Click the links below and get FREE NCERT Solutions for Class 11 Maths PDF unlimited here. You can also learn and download Chapter Statistics Class 11 Maths Solutions in Hindi medium and English medium.

### Free NCERT Solutions for Class 11 Maths Chapter 15 in PDF

## NCERT Solutions for Class 11 Maths Chapter 16 – Probability

NCERT Solutions for Class 11 Maths Chapter 16 Probability is well defined with step by step solutions so that students can easily understand the concept. Here you can get the idea of the concept of probability properly. You can solve all three exercises in this chapter which are based on 11th Class Maths Book Solution. This NCERT solution for Class 11 Maths Chapter 16 covers random experiments, the occurrence of events outcomes, sample spaces, set representation and Events etc. Just click here and get all NCERT Solutions for Class11 Maths PDF to exercise wise without paying anything. Students can get Chapter Probability Class 11 Maths Solutions in Hindi Medium & English Medium here.

### Free NCERT Solutions for Class 11 Maths Chapter 16 in PDF

- Class 11 Maths Chapter 16 Exercise 16.1 Solutions
- Class 11 Maths Chapter 16 Exercise 16.2 Solutions
- Class 11 Maths Chapter 16 Exercise 16.3 Solutions
- Class 11 Maths Chapter 16 Miscellaneous Exercise Solutions
- Download Class 11 Maths Chapter 16 Exercise 16.1 Solutions
- Download Class 11 Maths Chapter 16 Exercise 16.2 Solutions
- Download Class 11 Maths Chapter 16 Exercise 16.3 Solutions
- Download Class 11 Maths Chapter 16 Miscellaneous Exercise Solutions

We at Tiwari Academy helps all students to discover better ways to solve math problem sums by using their logical skills. By the help of these NCERT Solutions for Class 11 Maths All Chapters, exercise-wise can be a good move towards the Mathematics world and achieve greater success not only in your final exam but also it helps you in higher classes as well. Moreover, students will be able to get an idea about the question Performa from these Class 11 Maths NCERT sample papers. So you are suggested to learn and do practice thoroughly all exercises form the above links.

### How to Prepare Class 11 Maths All Chapters

#### Chapter 1: Sets

Set is the foundation of today’s NCERT Solutions for Class 11 Maths Chapter 1, Sets, we will learn sets and their representation. It includes the definition as well as properties of various type of sets. A set which does not contain any element is called the empty set or the null set or the void set. Similarly, a set which is empty or consists of a definite number of elements is called finite. Otherwise, the set is called infinite. We should know about the operations of set like Union, Intersection, Adjoint and Disjoint Sets, Equal and equivalent set. Concepts of subsets, universal sets and Venn Diagram is widely used in Class 11 Maths. The Miscellaneous Exercise of Chapter 1 Class 11 Maths describes the applications of the set and its theorems.

#### Chapter 2: Relations and Functions

Relations and Functions of Class 11 Maths prepare a solid based for Class 12 Maths Chapter 1 Relations and Functions. In Class 11, we will learn about Cross Product of two or three sets to get ordered pair. This fact helps us to understand the concepts of Relations and Functions in Exercise 2.2 and Miscellaneous of Class 11 Maths. Do you know why students face difficulties in NCERT Solutions for Class 11 Maths Chapter 2, Relations and Functions? The only reason is that they have not done the concepts of Chapter 2 of Class 11 Maths properly. Class 11 Maths Chapter 2 is the base of Class 12 Chapter 1 Relation and Functions.

#### Chapter 3: Trigonometric Functions

The first exercise NCERT Solutions for Class 11 Maths Chapter 3, Trigonometric Functions explains how to convert Radians to Degree or Degree to Radians. Students are more comfortable with degree measure so far. In higher classes, most often we use radians measure only. That is why now start practising in radian rather than degree. Exercise 3.2 explains how the signs of trigonometric functions change from one quadrant to others. All the formulae in Exercise 3.3, will be frequently used in most of the chapters of Class 12 Maths. If someone is not able to grasp these formulae, he will face the problem in Class 12 Maths and Physics.

#### Chapter 4: Principle of Mathematical Induction

The Principle of Mathematical Inductions tells us if an expression is true for two consecutive natural numbers, then it will be true for all. To verify this, we take it is true for some positive integer k and try to prove that it is also true for k + 1. In this way, we try to prove for two consecutive positive integers. PMI is useful for not only in NCERT Solutions for Class 11 Maths Chapter 4, Principle of Mathematical Induction but in higher studies also. There are two sections of questions from 1 to 18 and from 19 to 24. In Exams, question papers consist of at least one question from each section.

#### Chapter 5: Complex Numbers and Quadratic Equations

In Class 10 Maths Chapter 4 Quadratic Equations, if the discriminant is negative, we were not able to find the solutions. We will deal here the same situation but getting the solutions. Now, we can find out the roots of equations even though the D is negative. It is become possible just because of Complex Numbers. In NCERT Solutions for Class 11 Maths Chapter 5, Complex Numbers and Quadratic Equations, we can find the real as well as imaginary roots of any quadratic equation. Square roots of a complex number also can be obtained in the supplementary section. Class 11 Maths Chapter 5 Miscellaneous Exercise is most important to know Complex numbers completely.

#### Chapter 6: Linear Inequalities

In NCERT Solutions for Class 11 Maths Chapter 6, Linear Inequalities, we shall study of linear inequalities in one and two variables only. Representing on a number line, finding solutions sets as Real Numbers, Integers and Problems based on word problems are the common topics of the chapter. Exercise 6.3 is the main exercise for the exams point of view. Its weightage is maximum with respect to other exercises. This exercise is also helpful in Class 12 Maths Chapter 12 LPP. This chapter is easier to score good enough in the CBSE exams.

#### Chapter 7: Permutations and Combinations

In NCERT Solutions for Class 11 Maths Chapter 7, Permutations and Combinations, we shall learn some basic counting techniques. It will enable us to answer so many questions without actually listing or arranging elements. Permutations will be useful to know the number of different ways quickly. As a first step, we shall know to the learning of Permutations tricks. Class 11 Maths Chapter 7 Miscellaneous Exercise questions need the application of both Permutation and Combination for answers. These topics are helpful for the calculation of Probability in Class 11 Maths Chapter 16.

#### Chapter 8: Binomial Theorem

NCERT Solutions for Class 11 Maths Chapter 8, Binomial Theorem contains two exercises. Exercise 8.1 has simple sums on Binomial Expansions with two terms. The applications of general terms are in exercise 8.2. Just like the other chapters, miscellaneous of this chapter is also scoring for exams or tests. In 11th Maths, we know the formula of expansion of 3 or 4 powers but using Binomial Theorem we can expand the expression with any number of powers. In Class 11 Maths, there are only natural numbers as indices. Binomial allows the negative powers also but not in Class 11 CBSE Syllabus 2020-21.

#### Chapter 9: Sequences and Series

NCERT Solutions for Class 11 Maths Chapter 9, Sequences and Series contains is the next step of Class 10 Maths Chapter 5 A P. We have done A P in Class 10, so about A.P. only a few sums are there in Class 11 Maths. Now we shall study about the arithmetic mean, geometric mean, the relationship between A.M. and G.M. and based questions. We also learn about special series in forms of the sum to n terms of consecutive natural numbers, sum to n terms of squares of natural numbers and sum to n terms of cubes of natural numbers. Class 11 Maths Chapter 9 needs more practice to know the concepts well.

#### Chapter 10: Straight Lines

NCERT Solutions for Class 11 Maths Chapter 10, Straight Lines provides brief recall of 2 – D from earlier classes. In the supplementary part, we will learn about the shifting of origin, the slope of a line and angle between two lines. Exercise 10.1 includes simple questions, mostly based on the concepts of class 10 Maths. In the next exercises, we know about lines parallel to the axis, point-slope form, slope-intercept form, two-point form, intercept form and Normal form. Obtaining the distance of a point from a line is scoring for exams. This chapter is a little bit difficult as compared to others. So it needs more focus in practice to get good marks in tests or exams.

#### Chapter 11: Conic Sections

In NCERT Solutions for Class 11 Maths Chapter 11, Conic Sections, we shall study about curves like circles, ellipses, parabolas and hyperbolas. Just try to know who named these curves? Why is the study of these curves under the heading Conics? The 11 Maths Exercise 11.1 explains the terms and equations related to circle only whereas Exercise 11.2 for Parabola. Exercise 11.3 and 11.4 of Class 11 Maths explains about Ellipse and Hyperbola, respectively. We should know about the foci, vertices, length of the major & minor axis, eccentricity and the length of the latus rectum of the Ellipse as well as Hyperbola. In modern time, these curves are in fields such as planetary motion, design of telescopes, and so many other fields.

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

In Class 10 Maths we have learnt about the distance between the two points in 2 D plane. Here, in Class 11 Maths Chapter 12, we can find the same distance in 3 D plane. At the beginning of the chapter, the basics of quadrant octant are described. Whatever we have done in class 10 Maths Exercise 7.2, the same thing has to be repeated with the concept of 3 D geometry. Only one thing is different, that is Section Formula. In Class 10 Maths, we divide a line or line segment into a particular ratio internally, but in class NCERT Solutions for Class 11 Maths Chapter 12, Introduction to Three Dimensional Geometry internally and externally both are applicable.

#### Chapter 13: Limits and Derivatives

The concept of NCERT Solutions for Class 11 Maths Chapter 13, Introduction to Limits and Derivatives is new for the students. Here, they learn how to find the value of a function using limits. Derivatives using First Principle is one of the good topics for exams. We should try to do almost all the derivatives using the First Principle. The concepts of LHL and RHL is useful for testing a function whether its Limits exist or not. After doing Chapter 13 of Class 11 Maths, everyone should do the Class 12 Maths Exercise 5.2, 5.3 and 5.4 to understand better the concept of Derivatives.

#### Chapter 14: Mathematical Reasoning

In mathematical language, there are two kinds of reasoning – inductive and deductive. NCERT Solutions for Class 11 Maths Chapter 14, Mathematical Reasoning follows deductive reasoning. Here, we will learn about a SENTENCE which is called a mathematically acceptable statement if it is either true or false but not both. While dealing with statements, we usually denote them by small letters p, q, r like letters. This Chapter also deals with the negation of a statement; Compound statements with connecting word and decision making final statements.

#### Chapter 15: Statistics

Exercise 15.1 of Class 11 Maths contains the questions of Deviations about the mean, mode and median. We will deal here with all the measures of central tendencies like Mean Deviation and Range. The calculation will include both grouped and ungrouped data series. NCERT Solutions for Class 11 Maths Chapter 15, Statistics will discuss the questions for desecrate and continuous frequency distribution. Coefficient of variation using Variance and Standard Deviation based questions frequently come in the exams. Shortcut method to find variance and the standard deviation is equally useful for exams.

#### Chapter 16: Probability

Probability is always termed as a scoring topic in all the classes. It is scoring also in CBSE Board exams. NCERT Solutions for Class 11 Maths Chapter 16, Probability is the base for the Class 12 Maths Chapter 13 Probability. If you want to score well in class 12 probability, must do by learning all the concepts in grade 11. Exercise 16.1 is based on Sample Space and simple ideas of Probability. Next exercises include events which are Exclusive, Exhaustive or concepts of sets. Miscellaneous Exercise, containing good questions for practice, is vital for the class test or final exams.

### Importance of Learn NCERT Solutions for Class 11 Maths from Tiwari Academy

There are many Advantages of Learn Class 11 Maths NCERT Solutions from Tiwari Academy. You can experience an immense understanding of the overall concept of all the given chapters in NCERT, (National Council of Educational Research and Training) books. The main Advantages of Learn Class 11 Maths NCERT Solutions from Tiwari Academy are:

- Better Understanding of the Concepts
- Faster Learning Process
- Easy Method To Understand
- Solutions in PDF File
- Completely Free of Cost
- Based on Latest CBSE Syllabus

#### 1. Better Understanding of the Concepts

NCERT Solutions for Class 11 Maths All Chapters of the Tiwari Academy contain easy yet comprehensive explanations. All solutions are solved by the experienced Math Teacher keep in mind better understanding of the concepts.

#### 2. Faster Learning Process

We at Tiwari Academy provides all solutions in both modes Hindi and English you can easily grasp basic concepts better and faster. You get to learn concepts much faster and also learn quickly.

#### 3. Easy Method to Understand

All Maths solutions are well designed in an easy step by step method so that student can easily understand all exercise sums. Students can clear all the concepts and logics of each sum.

#### 4. Solutions in PDF File

All NCERT Solutions for Class 11 Maths All Chapters, Exercise at Tiwari Academy are available in easy PDF format so that you can download it and learn it when you want to learn or while offline. And also you can share theses PDFs to your friends. You can download unlimited PDFs here.

#### 5. Completely Free of Cost

All the NCERT Chapter-wise solutions are available here with FREE of Cost. You no need to pay anything here, and also there is no need for any login and registration.

#### 6. Based on Latest CBSE Syllabus

All solutions are based on updated CBSE Syllabus and cover all questions as on the NCERT Textbooks. All chapter-wise solutions are following the latest NCERT Books and described with the pattern as per guidelines issued by NCERT.

### What will be the Exam pattern of CBSE Class 11 Maths in 2020?

Exam pattern of CBSE Class 11 Maths in 2020 covers all the 16 chapters of Class 11 Maths NCERT books sums. It is of format one paper and the exam time duration will be three hours. The question paper includes all chapters of the Class 11 Maths syllabus with Max Marks. 100.

##### Class 11th Chapter-wise Marks Weightage

Maths is an important subject for CBSE class 11. Check the latest CBSE 11th Maths Chapter-wise Marks Weightage as below. You can get to know the weightage of all the 11 Maths chapters and can be able to prepare with suitable strategies to excel in the examination.

Here get Class 11th Chapter-wise Marks Weightage and Mark Distribution in detail:

| Topic | Marks |

I. | Sets and Functions | 29 |

II. | Algebra | 37 |

III. | Coordinate Geometry | 13 |

IV. | Calculus | 06 |

V. | Mathematical Reasoning | 03 |

VI. | Statistics and Probability | 12 |

Total | 100 |

### How are CBSE 11 Maths Solutions of NCERT Helpful for Final Exams?

CBSE Class 11 Maths is an important subject for students. As the syllabus of CBSE 11 Maths is the benchmark for any student that will reflect in the future records of achievement. CBSE strictly follows the NCERT books for board exam preparation. CBSE Class 11 Maths Solutions of NCERT is the best tool for students in the preparation of final and competitive entrance exams. The concepts in a simple way in this solutions are for better understanding. Step by step solutions by the expert maths teacher with the easy method can easily understand the complex problems in the most efficient way. So that you can get high score marks in your final exam.

## FAQs

##### How many Chapters are there in Maths Class 11?

There are total of 16 chapters in maths class 11. The First chapter is **Sets**, chapter -2 is **Relations & Functions**, Chapter 3 -Trigonometric Functions, Chapter 4 – Principle of Mathematical Induction, Chapter 5: Complex Numbers and Quadratic Equations, Chapter 6: Linear Inequalities, Chapter 9: Sequence and the last Chapter 16: Probability.

##### Is Maths difficult in Class 11?

Some students find the Class 11 Maths is hard, as they are introduced new topics in class 11. And also the syllabus of class 11 Maths is extremely vast as compared to previous class 10. And students get worried about the vast new syllabus. But NCERT Solutions for Class 11 Maths for all chapters help you to clear all concepts and you can score good marks in your exam.

##### Is NCERT enough for class 11 Maths?

NCERT is the best resources for preparing CBSE Board Examinations for the class 11. NCERT not only help you to score good marks in exam but also prepare for all the academic and undergraduate Competitive Entrance Examinations.

##### How NCERT Solutions will Help You Get Better Marks in Class 11 Maths?

**NCERT Solutions for Class 11** Maths will make all the chapter sums easier for you to understand the concept so that you can learn how to give excellent answers in the CBSE Class 11 exams. NCERT Solutions will help in clearing all your doubts about the subject Maths.