NCERT Solutions for Class 11 Maths

VSAT 2022

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 the 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.


Students can refer to the Class 11 Maths syllabus to know the chapters that they will be learning throughout the year. In Class 11 Maths, there are 16 chapters. Students may feel like the syllabus is too vast, as compared to Class 10. However, with Vedantu’s help, they can easily understand all the concepts as well as score high marks in their Maths exam. 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 characterised accumulation of the various items. Sets are an integral part of modern-day Mathematics. The concepts in this chapter include different types of sets, various set operations and Venn diagrams. 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. Students can download the Class 11 Maths NCERT Solutions for Chapter 1 in both English and Hindi from Vedantu. 


Important topics covered in  Class 11 Chapter 1 Sets:

  • A set is called a well-defined collection of objects.

  • Representation of Sets: 

We can represent a set in two methods:

  • Roster form: In the roster form, we list all the objects of the set within curly brackets { } and separate by commas.

  • Set-builder form: In this form, all the elements of the set should have a single property to be the member of that set.

  • Types of Sets

  • Empty Sets: A set which will not have any element is called an empty set. This is also called the void set or null set and it is denoted by {} or Φ.

  • Singleton Set: This is a set consisting of a single element.

  • Finite and infinite Set: If a set consists of a finite number of elements, then it is called a finite set, if nor the set will be an infinite set.

  • Equal Sets: Set A and Set B are said to be equal, only if all elements of A are also the elements of B i.e. two equal sets will have exactly the same element.

  • Equivalent Sets: Two finite sets are said to be equal if the number of elements are equal.

  • Every set will be a subset of itself.

  • The empty set will always be a subset of every set.

  • If a finite set contains n elements, then the total number of subsets is 2n.

  • Power Set: The power set is a set which has all of the subsets, and also the empty set & the original set. It's commonly denoted with the letter P.

  • Universal Set: The universal set is a set that contains all sets in a specific context.

  • Venn diagrams: Venn diagrams are diagrams that show the relationship between two sets. 


Chapter 1 - Sets Exercises in PDF Format

Exercise 1.1

6 Questions & Solutions

Exercise 1.2

6 Questions & Solutions

Exercise 1.3 

9 Questions & Solutions

Exercise 1.4

12 Questions & Solutions

Exercise 1.5

7 Questions & Solutions

Exercise 1.6

8 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 1 of CBSE Class 11 Maths Solutions –

 

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. The concepts in Chapter 2 of NCERT Maths Book Class 11 Solutions PDF include an introduction, Cartesian product of sets, relations, domain and range of a relation, inverse of a relation and functions, domain and range of a function, rules for finding domain and range, kinds of functions, methods to check one-one mapping, some standard real functions and their graphs, algebra of real functions, and periodic function.


Important topics covered in  Class 11 Chapter 2 Relations and Functions:

  • Ordered Pair: An ordered pair is formed by two objects or elements that are arranged in a specific order.

  • Equality of Two Ordered Pairs: If a = c and b = d, two ordered pairs (a, b) and (c, d) are equal.

  • Cartesian Product of Two Sets: The set of all ordered pairs (a, b) where a ∈ A and b ∈ B exist for any two non-empty sets A and B is termed the cartesian product of sets A and B and is denoted by A × B.

  • Relations: A relation R which is from a non-empty set A to a non-empty set B will be a subset of the cartesian product set A × B. The subset can be derived by describing a relationship between the first element & the second element of the ordered pairs in A × B.

  • Functions: A relation R from the sets A to B will be a function, if every element of set A has one and only image in set B. In simple words, a function f can be a relation if no two pairs in the relation has the first element.

  • Types of Functions: 

  • One One Function

  • Many One Function

  • Onto Function

  • One One and Onto Function

  • Into Function

  • Constant Function

  • Identity Function


Chapter 2 - Relations and Functions Exercises in PDF Format

Exercise 2.1

10 Questions & Solutions

Exercise 2.2

9 Questions & Solutions

Exercise 2.3

5 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 2 of CBSE Class 11 Maths Solutions –

 

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.


Chapter 3 of Class 11 Maths NCERT Solutions begins with the meaning of trigonometry and continues with basic trigonometric identities, trigonometric ratios of standard angles, trigonometric ratios of allied angles, trigonometric functions of sum or difference of two angles, multiple angles and half angles, transformation of products into sum or difference of sines and cosines, factorisation of the sum or difference of two sines or cosines, important trigonometric ratios, conditional identities, range of trigonometric expression, sine and cosine series, graphs of trigonometric functions, trigonometric equations, general solution, and results.

 

Chapter 3 - Trigonometric Functions Exercises in PDF Format

Exercise 3.1

7 Questions & Solutions

Exercise 3.2

10 Questions & Solutions

Exercise 3.3

25 Questions & Solutions

Exercise 3.4

9 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 3 of CBSE Class 11 Maths Solutions –

 

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 familiarise yourself with the concepts as they are useful in higher studies as well. 


Chapter 4 of NCERT Maths Book Class 11 Solutions PDF includes the topics deduction, induction, steps of principle of mathematical induction, and examples for demonstration of these principles. On Vedantu, students will find the Class 11 Maths NCERT Solutions for Chapter 4 in both Hindi and English. 

 

Chapter 4 - Mathematical Induction Exercises in PDF Format

Exercise 4.1

24 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 4 of CBSE Class 11 Maths 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. In Class 11 Maths Chapters, the fifth chapter is “Complex Numbers and Quadratic Equations”. This chapter includes topics like definition of complex numbers, conjugate of a complex number, algebra of complex numbers, argand plane, modulus and argument of complex number, polar form, De-Moivre’s theorem, cube root and square root of complex number, loci in complex plane, vectorial representation of a complex, quadratic expression, nature of roots and graphs, max and min value of quadratic expression, theory of equations, max and min values of rational expression, resolution into two linear factors, formation of a polynomial equation and transformation of equations.

 

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

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 5 of CBSE Class 11 Maths 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. In NCERT Maths Book Class 11 Solutions PDF, Chapter 6 is “Linear Inequalities”. The topics in this chapter are introduction to linear inequalities, examples of inequality in daily life, notations, types of inequalities, solution for linear inequality in one variable solution and solution set, rules of inequality, and graphical solution of linear inequalities in 2 variables. It also talks about linear inequalities in one variable, linear inequalities in two variables, and quadratic inequalities.

 

Chapter 6 - Linear Inequalities Exercises in PDF Format

Exercise 6.1

26 Questions & Solutions

Exercise 6.2

10 Questions & Solutions

Exercise 6.3

15 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 6 of CBSE Class 11 Maths Solutions –

 

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. Chapter 7 “Permutations and Combinations” of CBSE Class 11 Maths Solutions includes the concepts of fundamental principles of counting (fundamental principle of multiplication, fundamental principle of addition), basic arrangements and selections (permutations, combinations), geometric applications of nCr, permutations under certain conditions, division of objects into groups, division of objects into groups of equal sizes, permutations of alike objects, distribution of alike objects, number of integral solutions of linear equations and inequations, circular permutations, selection of one or more objects, number of divisors and the sum of the divisors of a given natural number, and rearrangements.

 

Chapter 7 - Permutations and Combinations Exercises in PDF Format

Exercise 7.1

6 Questions & Solutions

Exercise 7.2

5 Questions & Solutions

Exercise 7.3

11 Questions & Solutions

Exercise 7.4

9 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 7 of CBSE Class 11 Maths Solutions –

 

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 of Class 11 Maths NCERT Solutions is “Binomial Theorem”. In the earlier days, computations were difficult for higher powers like 93⁸ or 305⁴. To solve this, the binomial theorem was used. This theorem simplifies the expression of (a + b)n, where n is an integer or a rational number. This chapter talks about the binomial theorem, remarks, binomial theorem for positive integral indices, pascal’s triangle, general term and middle terms in expansion of (a + b)n, middle term, binomial theorem for any index, binomial coefficients, properties of binomial coefficient, some important results, and multinomial expansion.

 

Chapter 8 - Binomial Theorem Exercises in PDF Format

Exercise 8.1

14 Questions & Solutions

Exercise 8.2

2 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 8 of CBSE Class 11 Maths 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. The eighth chapter begins with the definition of sequence, real sequence, series, and progression. It continues with the topics arithmetic progression, properties of an arithmetic progression, geometric progression, properties of a geometric progression, means, arithmetic mean, arithmetic means between two numbers, geometric mean, geometric means between two numbers, arithmetic, geometric and harmonic means between two numbers, sigma notations, theorems, sum of n terms of some special sequences (sum of first n natural numbers, sum of squares of first n natural numbers, sum of cubes of first n natural numbers), arithmetic-geometric series, sum of n terms of an arithmetic-geometric series, sum to infinity, harmonic progression, and harmonic mean. This chapter has several formulas that students need to memorise to easily solve problems that are asked from this chapter in the Class 11 Maths. 

 

Chapter 9 - Sequences and Series Exercises in PDF Format

Exercise 9.1

14 Questions & Solutions

Exercise 9.2

8 Questions & Solutions

Exercise 9.3

32 Questions & Solutions

Exercise 9.4

10 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 9 of CBSE Class 11 Maths Solutions –

 

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. Chapter 10 of CBSE Class 11 Maths Solutions includes the topics distance formula, section formula, centroid, incentre, excentre, area of triangle, slope formula, condition of collinearity of three points, equation of a straight line in various forms, position of the point x₁y₁ relative to the line ax + by + c = 0, ratio in which a given line divides the line segment joining two points, length of perpendicular from a point on a line, reflection of a point about a line, angle between two straight lines in terms of their slopes, parallel lines, perpendicular lines, straight lines making angle a with given line, bisector of the angles between two lines, methods to discriminate between the acute bisector and the obtuse angle bisector, to discriminate between the bisector of the angle containing a point, condition of concurrency, family of straight lines, a pair of straight lines through origin, and general equation of second degree representing a pair of straight lines. 

 

Chapter 10 - Straight Lines Exercises in PDF Format

Exercise 10.1

14 Questions & Solutions

Exercise 10.2

20 Questions & Solutions

Exercise 10.3

18 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 10 of CBSE Class 11 Maths Solutions –

 

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. The topics in Chapter 11 of Class 11 Maths NCERT Solutions are conic sections, section of right circular cone by different planes, general equation of a conic: focal directrix property, distinguishing various conics, definition and terminology of parabola (focal distance, focal chord, double ordinate, latus rectum), position of a point relative to a parabola, line & a parabola, parametric representation, tangents to the parabola y² = 4ax, normal to the parabola y² = 4ax, pair of tangents, director circle, chord of contact, chord with a given middle point, standard equation and definitions (eccentricity, foci, equations of directrices, major axis, minor axis, principal axis, vertices, focal chord, double ordinate, latus rectum, centre), auxiliary circle/eccentric angle, parametric representation, position of a point with respect to an ellipse, line and an ellipse, tangents, normal, director circle, standard equation and definition of hyperbola (eccentricity, foci, equations of directrix, transverse axis, conjugate axis, principal axis, vertices, focal chord, double ordinate, latus rectum), rectangular or equilateral hyperbola, conjugate hyperbola, auxiliary circle, parametric representation, position of a point ‘P’ with respect to a hyperbola, line and a hyperbola, tangents (slope form, point form, parametric form), normal, director circle, rectangular hyperbola, equation of a circle in various forms, intercepts made by a circle on the axes, parametric equations of a circle, position of a point with respect to a circle, line and a circle, tangent, family of circles, normal, pair of tangents from a point, length of a tangent and power of a point, director circle, chord of contact, equation of the chord with a given middle point, equation of the chord joining two points of circle, common tangents to two circles, orthogonality of two circles, radical axis and radical centre.


 Important topics covered in  Class 11 Chapter 11 Conic Sections:

  • Circle: The set of all points in a plane that are at a fixed length from a fixed point in a plane is called a circle. The circle's fixed point is known as the centre, and the distance between the centre and any point on the circle is known as the radius.

  • Parabola: A parabola is a set of points P whose distances from a fixed point F in the plane are equal to their distances from a fixed line l in the plane. The fixed point F is known as the focus, and the fixed line l is known as the parabola's directrix.

  • Ellipse: It is a set of points in a plane whose distances from two fixed points add up to a constant sum.

  • Hyperbola: A hyperbola is a two-branched open curve formed by the intersection of a plane and both halves of a double cone. The plane does not have to be parallel to the cone's axis. The fixed point is known as the focus, the fixed line is known as the directrix, and the constant ratio, indicated by, is known as the eccentricity of the hyperbola.


Chapter 11 - Conic Sections Exercises in PDF Format

Exercise 11.1

15 Questions & Solutions

Exercise 11.2

12 Questions & Solutions

Exercise 11.3

20 Questions & Solutions

Exercise 11.4

15 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 11 of CBSE Class 11 Maths Solutions

 

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. This chapter talks about coordinate axes, coordinate planes, coordinates of a point in space, distance between two points, and section formula. It also talks about the coordinate system in three-dimensional geometry, rectangular coordinate system, direction ratios of a line and direction cosine, the relation between the direction cosines of a line, direction cosines of a line passing through two points and some fun facts about three-dimensional space. 

 

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

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 12 of CBSE Class 11 Maths 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. As the name suggests, Chapter 13 of Class 11 Maths talks about limits, algebra of limits, limits of polynomials and rational functions, limits of trigonometric functions, derivatives, standard limits and derivatives. There are several important theorems in this chapter, that students need to learn and understand to do well in their Class 11 Maths exam.

 

Chapter 13 - Limits and Derivatives Exercises in PDF Format

Exercise 13.1

32 Questions & Solutions

Exercise 13.2

11 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 13 of CBSE Class 11 Maths 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. In this chapter, the basics of mathematical reasoning, logic, statement (proposition), open and compound statement, elementary operation of logic, disjunction, negation, conditional sentence (implication), biconditional sentence (bi-implication), table for basic logical connections, truth value and truth table, tautology and contradiction, quantifiers and quantified statements, implications, contrapositive and converse, validating statements, and by contradiction are the topics included.

 

Chapter 14 - Mathematical Reasoning Exercises in PDF Format

Exercise 14.1

2 Questions & Solutions

Exercise 14.2

3 Questions & Solutions

Exercise 14.3

4 Questions & Solutions

Exercise 14.4

4 Questions & Solutions

Exercise 14.5

5 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 14 of CBSE Class 11 Maths Solutions –

 

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. In this chapter, terminologies like statistics, limit of the class, class interval, primary and secondary data, variable or variate, frequency, discrete frequency distribution, continuous frequency distribution, and cumulative frequency distribution are explained. Topics such as graphical representation of frequency distribution (histogram, bar diagram, pie diagrams, frequency polygon, cumulative frequency curve/ogive), measures of central tendency (arithmetic mean – for unclassified data, frequency distribution, classified data, combined mean, weighted arithmetic mean, properties of arithmetic mean; geometric mean; harmonic mean), median (for simple distribution, unclassified frequency distribution, classified data), quartiles, mode (for raw data, classified distribution, classified data), relation between mean, median and mode, symmetrical and skewed distribution, measures of dispersion (range, mean deviation, standard deviation, variance), and analysis of frequency distributions are also explained in detail in this chapter.

 

Chapter 15 - Statistics Exercises in PDF Format

Exercise 15.1

12 Questions & Solutions

Exercise 15.2

10 Questions & Solutions

Exercise 15.3

5 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 15 of CBSE Class 11 Maths Solutions –

 

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. This chapter starts with probability, approach to probability, random experiments, event, types of event, impossible and sure events, simple event, compound event, algebra of events, complementary event, event (A or B), Event “A and B”, Event “A but not B”, mutually exclusive events, exhaustive events, axiomatic approach to probability, probabilities of equally likely outcomes, probability of the event “A or B”, probability of the event “A and B”, and the probability of the event “Not A”.

 

Chapter 16 - Probability Exercises in PDF Format

Exercise 16.1

16 Questions & Solutions

Exercise 16.2

7 Questions & Solutions

Exercise 16.3

21 Questions & Solutions

 

Along with this, students can also download additional study materials provided by Vedantu, for Chapter 16 of CBSE Class 11 Maths Solutions –

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.

 

Chapter-wise Weightage for Class 11 CBSE Maths First Term (2021-22)

Sr. No.

Chapters

Marks

1.

Chapter 1 - Sets

11

2.

Chapter 2 - Relations and Functions

3.

Chapter 5 - Complex Numbers and Quadratic Equations

13

4.

Chapter 9 - Sequences and Series

5.

Chapter 10 - Straight Lines

6

6.

Chapter 13 - Limits and Derivatives (Limits Only)

4

7.

Chapter 15 - Statistics

6


Total

40


Internal Assessment

10


Total Marks (First Term)

50

 

Class 11 CBSE Maths First Term Internal Assessment

Internal Assessment

Marks

Periodic Tests

5 Marks

Mathematics Activities - Activity file record +Term end assessment of one activity and Viva

5 Marks

Total Marks

10 

 

Chapter-wise Weightage for Class 11 CBSE Maths Second Term (2021-22)

Sr. No.

Chapters

Marks

1.

Chapter 3 - Trigonometric Functions

8

2.

Chapter 6 - Linear Inequalities

11

3.

Chapter 7 - Permutations and Combinations

4.

Chapter 11 - Conic Sections

9

5.

Chapter 12 - Introduction to Three Dimensional Geometry

6.

Chapter 13 - Limits and Derivatives (Derivatives)

6

7.

Chapter 16 - Probability

6


Total

40


Internal Assessment

10


Total Marks (Second Term)

50

 

Class 11 CBSE Maths Second Term Internal Assessment

Internal Assessment

Marks

Periodic Tests

5 Marks

Mathematics Activities - Activity file record +Term end assessment of one activity and Viva

5 Marks

Total Marks

10 


They can also download the Class 11 Maths sample papers provided by Vedantu, as these papers can help them get an idea about the exam format. They can also learn to manage their time and identify their strong and weak areas and work on them accordingly.

 

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 their 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 customise 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.

  • Students can understand all the concepts from the 16 chapters of Class 11 Maths easily, with the help of Vedantu’s Class 11 Maths NCERT Solutions. The solutions are designed in a simple, straightforward language and all the solutions are given step by step, for the ease of students.

  • The NCERT Solutions help students prepare for their Class 11 Maths exam quicker, as whenever they get stuck at any question, they can simply refer to the solutions, understand the answer and move to the next question.

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 familiarise 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 practise 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 masterclasses 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 on NCERT Solutions for Class 11 Maths

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

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.

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

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.

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

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.

4. Does the solution cover all chapters?

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

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

Vedantu provides the Class 11 NCERT Solutions for Maths in a PDF format. This PDF can be 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.

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

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.

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

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.

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

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.

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

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.

10. Is NCERT enough for Class 11 Maths?

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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