NCERT Solutions for Class 11 Maths: Download Free PDF, Important Topics, and Weightage

Students can click the links below to access the NCERT Class 11 Maths chapter-wise solutions in PDF format. Candidates will be able to access the chapter-wise solution PDF for all the chapters below;

Chapter's Solutions Link	Solution PDF
Chapter 1 Sets NCERT Solutions	Free PDF Download
Chapter 2 Relation and Function NCERT Solution	Free PDF Download
Chapter 3 Trigonometric Functions NCERT Solution	Free PDF Download
Chapter 4 Complex Numbers and Quadratic Equations NCERT Solution	Free PDF Download
Chapter 5 Linear Inequalities NCERT Solution	Free PDF Download
Chapter 6 Permutations and Combinations NCERT Solution	Free PDF Download
Chapter 7 Binomial Theorem NCERT Solution	Free PDF Download
Chapter 8 Sequence and Series NCERT Solution	Free PDF Download
Chapter 9 Straight Lines NCERT Solution	Free PDF Download
Chapter 10 Conic Sections NCERT Solution	Free PDF Download
Chapter 11 Introduction to Three-Dimensional Geometry NCERT Solution	Download Free PDF
Chapter 12 Limits and Derivatives NCERT Solution	Download Free PDF
Chapter 13 Statistics NCERT Solution	Download Free PDF
Chapter 14 Probability NCERT Solution	Download Free PDF

CBSE also excluded some chapters from its syllabus in 2023, Students can check below the list of deleted chapters;

• Mathematical Reasoning NCERT Solutions
• Principle of Mathematical Induction NCERT Solutions

NCERT Solutions Class 11 Maths Chapter 1 Sets

In Class 11 math chapter 1, students will learn the concept of Sets and their representation. There are six exercises in this chapter. Empty Set, Finite and Infinite sets, Equal sets, Subsets, Power set and Universal set, Venn diagrams, operations on sets, etc. It also explains the concepts of Union of sets, the intersection of sets, the difference of sets and the Complement of a set, along with its properties. This chapter has enough exercises so that the students can practice and understand the concept of sets. The theory of sets is a fundamental part of present-day Mathematics. NCERT Solutions Maths Class 11 Chapter 1 Sets PDF is also available. Students can access Class 11 Maths chapter 1 solutions for free.

Exercise-wise Topics coverd in Class 11 Sets

Exercise	Topics Covered
Exercise 1.1	Sets, and Its Representation: Roster and Set-builder Form
Exercise 1.2	Type of Sets: Empty Set, Finite & Infinite Sets, Equal Sets
Exercise 1.3	Subsets, Supersets, Power Set, Universal Set
Exercise 1.4	Subsets, Supersets, Power Set, Universal Set
Exercise 1.5	Compliments of Sets
Miscellaneous Exercise	All the concepts covered in the above exercises

Most Important Topics of Class 11th Sets: There are a few topics in this chapter that are very significant for CBSE as well as competitive exams like JEE Mains. These topics include Subsets, Subsets of a set of real numbers, Venn diagrams, Union and Intersection of sets, Difference of sets, and Properties of Complement.

NCERT Solutions for class 11 Maths Chapter 2 Relations and Functions

We have provided the detailed solutions of class 11 Maths Relations and Functions. This chapter explains the concept of the Cartesian product of sets, relations, ordered pairs, functions, graph of functions etc. Students will also learn algebra of real functions, number of relations, domain, image, and codomain of functions. This chapter includes 2 exercises and miscellaneous exercises that covers the topics of relations and functions. Students can download and learn the NCERT Maths Solutions Class 11 Chapter 2 Relations and Functions. Solution of Maths NCERT 11 Class is available in PDF format. 

Class 11 Relations and Functions: Exercise-wise Topics

Exercises	Topics Covered
Exercise 2.1	Cartesian Product of Sets and Ordered Pairs
Exercise 2.2	Relation, Domain and Range of a Relation, number of relations
Exercise 2.3	Functions, Algebra of Functions, Types of Functions: Modulus, Signum, Rational, Polynomial,Constant and Identity Function
Miscellaneous Exercise	Linear Function, Problems related to above concepts

Relations and Functions: Important Topics

You can also check the important topics below that can fetch you better marks in the cbse as well as other competitive exams.

• Number of elements in the Cartesian product of two finite sets
• domain, co-domain and range of a relation
• domain, co-domain and range of functions
• Real-valued functions, the domain and range of these functions
• Algebra of Functions

NCERT Solutions for class 11 Maths Chapter 3 Trigonometric Functions

The word ‘trigonometry’ is derived from the Greek words ‘trigon’ and ‘metron’, which means ‘measuring the sides of a triangle’. Trigonometric Functions is a chapter that many students find difficult to learn. Students should understand the basics of the concepts and learn the trigonometric functions thoroughly. We have provided the step-by-step solutions of all the exercises and miscellaneous exercises of the chapter on trigonometric functions. This chapter explains angles, degree measure, radian, the relation between degree and radian, conversion etc.

Class 11 Maths trigonometric Functions: Exercise-wise Topics

Exercises	Topics Covered
Exercise 3.1	Angle, Measurements(degrees, radians), Conversion of degrees to radians and vice versa
Exercise 3.2	Trigonometric Functions, Domain, Range of Trigonometric Functions, Values and sign in quadrants
Exercise 3.3	Sum and Difference of Trigonometric Functions,Trigonometric Identities, General Solutions of Trigonometric Equations
Miscellaneous Exercise	Trigonometric Equations, Identities, Applications, and other concepts covered in the above exercise

Trigonometric Identities: Important Topics

Students must have strong grasp over the complete chapter, however, Focusing more on important areas will help in better scores. Check the important topics of the chapter below;

• Positive and negative angles and Signs of trigonometric functions

• Measurement and conversion of angles (radians to degrees and vice versa)
• Trigonometric Table for values
• Expressing sin (x±y) and cos (x±y) in terms of sinx, siny, cosx & cosy and their simple applications
• Deducing identities like the following: tan(x ± y), cot(x ± y), sin α ± sin β, cos α + cos β, cos α - cos β
• Trigonometric Identities related to sin 2x, cos 2x, tan 2x, sin 3x, cos 3x and tan 3x

NCERT Solutions for Class 11 Maths Chapter 4 Complex Numbers and Quadratic Equations

Complex numbers and quadratic equations are a chapter of great importance in Class 11 Maths. There are four exercises in this chapter, including miscellaneous exercises. This chapter explains the square root of negative one, properties of complex numbers, modulus of a complex number, conjugate, square root of a negative real number etc. Students can use our solutions as a perfect tool to learn complex numbers and quadratic equations. 

Complex Number and Quadratic Equations Topics

Exercises	Topics Covered
Exercise 4.1	Complex Numbers, Algebra of Complex Numbers: (Sum, Difference, Multiplication and Division of Complex Numbers), Conjugate and Modulus of Complex Numbers
Exercise 4.2	Argand Plane and Polar Form of Complex Numbers
Miscellaneous Exercise	Square root of complex Numbers, Simplifying Complex Number related Problems, and other questions related to the Complex numbers

Important Topics covered in Complex Numbers and Quadratic Equations

• Polar Representation of Complex Numbers
• Finding square roots of complex numbers
• Powers and Roots of Complex Numbers
• De Moivre’s Theorem
• Finding the nth roots of a complex number

NCERT Solutions for Class 11 Maths Chapter 5 Linear Inequalities

In NCERT Class 11 Maths Chapter 6, students will learn linear inequalities in one and two variables. The study of inequalities finds applications in the field of statistics, science, mathematics, economics, psychology, etc. There are 3 exercises and a miscellaneous exercise in this chapter. This chapter also includes Graphical Solution of Linear Inequalities in Two Variables and Solution of Systems of Linear Inequalities in Two Variables. 

Class 11 Maths Linear Inequalities Topics

Exercises	Topics Covered
Exercise 5.1	Linear Inequalities in One Variable
Miscellaneous Exercise	Real-life Problems involving Linear Inequalities

Important Topics covered Linear inequalities

You can check the important topics of this chapter that are significant to get good marks in the CBSE annual examinations. Students can check topics below;

• Linear inequalities in one variable and word problems.

Class 11 Mathematics NCERT Solutions Chapter 6 Permutations and Combinations

Permutations and Combinations is a chapter of great importance in Class 11 Maths. An arrangement of many objects in a definite order taken at a time is a Permutation, while a collection of the objects where the order doesn’t matter is a Combination. Students can easily score from this chapter if they are thorough with the basics. They can use our Permutation and Combination class 11 NCERT solutions of Maths to learn the concepts thoroughly. 

Exercise-wise Class 11 Permutation and Combination Topics

Exercises	Topics Covered
Exercise 6.1	Fundamental Principle of Counting,
Exercise 6.2	Permutation and Permutation of distinct objects
Exercise 6.3	$$n^{}{P}_{r}formula,\; and\; advance\; permutation\; problems$$
Exercise 6.4	Combinations, Properties of Combinations
Miscellaneous Exercise	Permutations and combinations, and Miscellaneous Problems

Permutation and Combination: Important Topics

• Fundamental principle of counting
• Questions related to ⁿP_r and ⁿC_r and their connections, Applications in word problems

Class 11 Mathematics NCERT Solutions Chapter 7 Binomial Theorem

The binomial theorem is used to expand (a + b)ⁿ, where n is an integer or a rational number. In this chapter, students will learn binomial theorem for positive integral indices. It also covers Pascal's triangle, some special cases in the expansion of (a+b)ⁿ etc. There are two exercises and a miscellaneous exercise in this chapter. Students are advised to practice the solutions of the Binomial Theorem. 

Class 11 Maths Binomial Theorem Exercise-wise Topics

Exercises	Topics Covered
Exercise 7.1	Pascle Triangle, Binomial Theorem for any interger n, General Term, Middle Term
Miscellaneous Exercise	Applications of Binomial Theorem, Binomial Theorem word problems

Binomial Theorem Important Topics

You must focus on important exam-relevant terms of this chapter. This chapter is significant for the class 11 annual and competitive exams such as JEE, and others. check the important topics below;

• expansion of binomial theorem
• Constant Term, Mid Term, nth Term Formula

Class 11 Mathematics NCERT Solutions Chapter 8 Sequences and Series

We call an ordered list of numbers as a sequence, whereas the sum of all the terms of a sequence is a series. Sequences and Series is an easy chapter from which students can score full marks. We have provided detailed solutions of all the exercises of this chapter. Arithmetic Progression, Geometric Progression, Arithmetic mean, geometric mean, special series sum formula, etc. are included in this chapter.

Class 11 Sequence and Series: Exercise-wise Topics

Exercises	Topics Covered
Exercise 8.1	Sequences, Series, Arithmetic Progression, Arithmetic Mean
Exercise 8.2	Geometric Progression, General term and sum of n terms, Geometric Mean(GM), Relation b/w AM and GM
Miscellaneous Exercise	Sum of Series, Special Series, Combination of GP and AP, Word Problems

Important Sequences and Series Topics

Below are few of the most important areas of the Class 11 Sequence and Series. You can check  the important topics related to this chapter;

• Arithmetic Mean (A.M.) and Geometric Mean (G.M.)
• Sum of n terms in GP and AP
• Word Problems related to the sum of AP and GP

Class 11 Mathematics NCERT Solutions Chapter 9 Straight Lines

In this chapter, students will learn slope of a straight line, conditions for parallelism and perpendicularity of lines in terms of their slopes, collinearity of three points, shifting of origin, various forms of equations of a line including the ones parallel to the axis, slope-intercept form, two-point form, point-slope form, intercept form, and normal form. Students should learn the formulas used in this chapter carefully so that they will not get confused while solving the problems. 

Class 11 Maths Straight Lines: Exercise-wise Topics

Exercises	Topics Covered
Exercise 9.1	Fundamentals of Straight Line, Slope of Line, Parellel and Perpendicular of Line, and Angled between two lines
Exercise 9.2	Equation of Various Forms of Straight Lines, Point-slope form, two point forms and others
Exercise 9.3	Distance between lines, Distance between lines and point
Miscellaneous Exercise	miscellaneous problems related to the Straight Lines

Important Topics of Straight lines

Several important topics are very useful to fet full marks in annual Class 11 exams. You can check the significant weightage topics below;

• Brief recall of two-dimensional geometry from earlier classes
• Slope of a line and angle between two lines
• Various forms of equations of a line parallel to the x-axis, point-slope form
• Slope-intercept form, two-point form, intercept form
• Distance of a point from a line. 

Class 11 Maths NCERT Solutions Chapter 10 Conic Sections

A conic section is a figure formed by the intersection of a plane and a circular cone. The chapter Conic section explains the concept of parabola, ellipse, hyperbola, straight line and a pair of intersecting lines as a degenerate case of a conic section, circle, etc. This chapter includes 4 exercises and a miscellaneous exercise. Students are recommended to download and learn the NCERT solutions of Conic sections.

Class 11 Maths Conic Sections: Exercise-wise Topics

Exercises	Topics Covered
Exercise 10.1	Equation of Circles, Radius, Centre
Exercise 10.2	Standard Equation of a Parabola, Latus Rectum, and Directrix
Exercise 10.3	Equation of an Ellipse, Major and Minor Axis, and Eccentricity
Exercise 10.4	Standard Equations of Hyperbolas, Conjugate and Transverse Axis.
Miscellaneous Exercise	Questions related to all four types of conic sections; Circle, Parabola, Hyoerbola, Ellipse.

Class 11 Conic sections: Important Topics 

This chapter is one of the most important topics for competitive exams such as JEE, CUET UG, and others in maths section. You cna read the important topics below;

• Fundamentals and Equations of all four types of conic Sections 
• Tangent and Perpendicular related problems
• Area bounded by conic sections 

Class 11 Mathematics NCERT Solutions Chapter 11 Introduction to Three-Dimensional Geometry

Chapter 3D Geometry explains the basic concepts of geometry in three-dimensional space. This is an important chapter because students can expect 2-3 questions for competitive exams from this chapter. Learning the exercises will help students to understand the concept of 3D geometry in a better way.

Class 11 Maths: Introduction to Three-Dimensional Geometry Topics

Exercises	Topics Covered
Exercise 11.1	Coordinates of Points in Three-Dimensional Geometry
Exercise 11.2	Distance between Two Points, Section Formula
Miscellaneous Exercise	Concepts discussed in the above exams and related word problems

Class 11 Three-Dimensional Geometry: Important Topics

This topic helps students understand the fundamentals of 3D geometry. You can read the important topics of this chapter for the class 11 annual exams. 

• Coordinates of a point in three-dimensional space
• Distance between two points.

Class 11 Maths NCERT Solutions Chapter 12 Limits and Derivatives

Limits and Derivatives comes under the topic Calculus. Students are advised to learn this chapter properly since this topic is of high weightage in entrance exams like JEE and JEE Advanced. The NCERT solutions of Chapter 13 Limits and Derivatives are designed in such a way that students will get a clear idea of each and every step in the problems. This chapter explains the definition of derivative, derivative of sum, difference, product and quotient of functions, derivatives of polynomial and trigonometric functions, etc.

Class 11 Limits and Derivatives Topics

Exercises	Topics Covered
Exercise 12.1	Concept of Limits, Limit Formulas, Limit of trigonometric, Algebraic, Exponential functions, and others
Exercise 12.2	Derivatives: First Principle, Rules of Derivatives, and Derivatives for various expressions and functions
Miscellaneous Exercise	Finding Derivatives using First Principle and Differentiation of Various Algebraic Equations

Class 11 Limits and Derivatives: Important Topics

Limit and Derivatives is the basis of the calculus unit. Calculus is very important not only for mathematics but also for other subjects to find various quantities. You can check the important topics of this chapter below

• Limit of various equations and functions
• Derivatives of various functions and equations

Class 11 Maths NCERT Solutions Chapter 13 Statistics

Statistics is a branch of Mathematics which deals with data collected for specific purposes. This is an easy chapter from which students can score full marks using simple calculations. They have to learn the formulas in this chapter thoroughly. Class 11 Statistics chapter explains calculation for ungrouped and grouped data, measures of dispersion, range, mean deviation, variance and standard deviation etc. 

Class 11 Maths Statistics Exercise-wise Topics

Exercises	Topics Covered
Exercise 13.1	Measures of Dispersion: Range, Mean Deviation, Variance, Standard Deviation
Miscellaneous Exercise	Applications of Measures of Dispersion

Statistics Important Topics

You can check the important topics that are relevant for a full score in the class 11 annual examinations. Read below;

• Range, Mean deviation, variance
• Standard deviation of ungrouped/grouped data

Class 11 Maths NCERT Solutions Chapter 14 Probability

Probability deals with the possibility of occurrence of an event. The NCERT Solutions Maths Class 11 Probability helps students to improve their conceptual understanding and thus score high marks in the annual exams. This chapter explains the concepts of random experiments, sample spaces, outcomes, occurrence of events, exhaustive events, mutually exclusive events, etc. Students are advised to write and learn the solutions provided by our expert team.

Exercise-wise Topics in Class 11 Probability

Exercises	Topics Covered
Exercise 14.1	Probability, Type of events; Sample space, Occurring event, impossible events and others
Exercise 14.2	Addition Theorem, Complementary Events
Miscellaneous Exercise	Application of Probability

Probability Important Topics

There are several important topics in this chapter; you must cover these given topics to better results in competitive exams such as JEE, and other exams.

• Probability

CBSE provides a Class 11 Mathematics exam pattern to be followed by all educational institutes while preparing the question paper for the Class 11 Maths examination. Students can check the official Class 11 exam pattern below, which will help them understand the requirements and preparation method for better performance. 

Section (Question Numbers)	Type of Question and Marks	Total Questions and Choice
A [1-20]	MCQs & Assertion-Reason Questions (1 mark)	20 (Compulsory)
B [21-25]	Very Short Answer type questions (2 marks)	2 out of 5 Questions
C [26-31]	Short Answer type questions ( 3 marks)	3 out of 6 Questions
D [32-35]	Long Answer type questions ( 5 marks)	2 out of 4 Questions
E [36-38]	Case study-based questions (4 marks)	2 out of 3 Questions

Students can check the unit-wise weightage of topics in class 11 math annual CBSE (2025-26) exam.

No.	Units	Marks
I	Sets and Functions	23
II	Algebra	25
III	Coordinate Geometry	12
IV	Calculus	08
V	Statistics and Probability	12
	Total	80
	Internal Assessment	20

Class 11 Internal Assessment 

Internal Assessment	Marks
Periodic Tests (Best 2 out of 3 tests held)	10
Mathematics Activities	10
Total Marks	20 Marks

Students must have a basic understanding of the importance of these topics in JEE Mains exams. The information can be really useful in prioritizing the topics according to their need.

Chapter Name	JEE Main weightage
Sets	3.3%
Relations and Functions	3.3%
Trigonometric Functions	3.3%
Complex Numbers and Quadratic Equations	3.3%
Linear Inequalities	3.3%
Permutations and Combinations	3.3%
Binomial Theorem	3.3%
Sequences and Series	6.6%
Straight Lines	6.6%
Conic Sections	6.6%
Introduction to Three-Dimensional Geometry	6.6%
Limits and Derivatives	6.6%
Statistics	3.3%
Probability	3.3%

 

Class 11 Students use NCERT textbooks to practice and understand basics. The benefits of using Class 11 Maths NCERT Solutions can be checked below;

• NCERT Solutions are designed by experts which focuses on explaining each problem step-by-step, in lucid language. Our NCERT Solutions of class 11 Maths help students understand complex mathematical concepts, detailed explanations, and usage of formulae for various types of numerical problems. 
• Our NCERT Solutions strictly follow the CBSE guidelines and NCERT textbook pattern, which is essential for scoring well in school exams and preparing for competitive exams like JEE.
• Students can use the NCERT solutions provided by Shiksha to evaluate their solutions, find the best solution methods that could fetch maximum marks in the exams.
• Students can use well-structured NCERT Solutions to revise formulas, practice important questions just before the exams, which will be like a quick revision of the chapter.
• The Solutions for Class 11 Mathematics NCERT Textbooks is also available in PDF format for all chapters. Students can check the Solutions PDF and access the solutions without internet.