NCERT Class 11 Maths NCERT Solutions: Chapter-Wise Overview, Questions, Preparation

The students can click the below links to access the NCERT Class 11 Maths solutions chapter-wise solutions.

Sl. No	Name of Chapter
1	Chapter 1 Sets
2	Chapter 2 Relations and Functions
3	Chapter 3 Trigonometric Functions
4	Chapter 4 Complex Numbers and Quadratic Equations
5	Chapter 5 Linear Inequalities
6	Chapter 6 Permutations and Combinations
7	Chapter 7 Binomial Theorem
8	Chapter 8 Sequences and Series
9	Chapter 9 Straight lines
10	Chapter 10 Conic Sections
11	Chapter 11 Introduction to Three Dimensional Geometry
12	Chapter 12 Limits and Derivatives
13	Chapter 13 Statistics
14	Chapter 14 Probability

Principle of Mathematical Induction and Mathematical Reasoning are removed from NCERT Class 11 Maths text book.

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 and Intersection of sets, Difference of sets and 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.

Chapter 1 Sets: Topics Covered

• Sets and their representations
• Empty set
• Finite and Infinite sets
• Equal sets
• Subsets
• Subsets ofa set of real numbers especially intervals (with notations)
• Universal set
• Venn diagrams
• Union and Intersection of sets
• Difference of sets
• Complement of a set
• 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 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. 

Relations and Functions: Topics covered

• Ordered pairs
• Cartesian product of sets
• Number of elements in the Cartesian product of two finite sets
• Cartesian product of the set of reals with itself (upto R x R x R)
• Definition of relation, pictorial diagrams
• domain, co-domain and range of a relation
• Function as a special type of relation
• Pictorial representation of a function
• domain, co-domain and range of a function
• Real valued functions, domain and range of these functions
• constant, identity, polynomial, rational, modulus, signum, exponential functions
• logarithmic and greatest integer functions, with their graphs
• Sum, difference, product and quotients 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 which 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 trigonometric functions. This chapter explains angles, degree measure, radian, relation between degree and radian, conversion etc.

Trigonometric Identities: Topics covered

• Positive and negative angles
• Measuring angles in radians and in degrees and conversion from one measure to another
• Definition of trigonometric functions with the help of unit circle
• Truth of the identity sin2x + cos2x = 1, for all x
• Signs of trigonometric functions
• Domain and range of trigonometric functions and their graphs
• 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
• 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 is a chapter of great importance in Class 11 Maths. There are four exercises in this chapter including the miscellaneous exercises. This chapter explains square root of negative one, properties of complex numbers, modulus of a complex number, conjugate, square root of negative real number etc. Students can use our solutions as a perfect tool to learn the complex numbers and quadratic equations. 

Complex Numbers and Quadratic Equations : Topics Covered

• Need for complex numbers, especially√−1, to be motivated by inability to solve some of the quadratic equations
• Algebraic properties of complex numbers
• Argand plane 

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 System of Linear Inequalities in Two Variables. 

Linear inequalities: Topics Covered

• Linear inequalities
• Algebraic solutions of linear inequalities in one variable and their representation on the number line.

Class 11 Mathematics NCERT Solutions Chapter 6 Permutations and Combinations

Permutation and Combinations is a chapter of great importance in Class 11 Maths. An arrangement of a number of objects in a definite order taken at a time is 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. 

Permutation and Combination: Topics Covered

• Fundamental principle of counting
• Factorial n. (n!)
• Permutations and combinations
• Derivation of Formulae for ⁿP_r and ⁿC_r and their connections, simple applications

Class 11 Mathematics NCERT Solutions Chapter 7 Binomial Theorem

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 Binomial Theorem. 

Binomial Theorem: Topics Covered

• Historical perspective
• Statement and proof of the binomial theorem for positive integral indices
• Pascal’s triangle
• simple applications. 

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.

Sequences and Series: Topic Covered

• Sequence and Series
• Arithmetic Mean (A.M.)
• Geometric Progression (G.P.)
• General term of a G.P
• Sum of n terms of a G.P
• Infinite G.P. and its sum,
• Geometric mean (G.M.)
• Relation between A.M. and G.M

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. 

Straight lines: Topics covered

• 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 axis, point -slope form
• Slope-intercept form, two-point form, intercept form
• Distance of a point from a line. 

Class 11 Mathematics NCERT Solutions Chapter 10 Conic Sections

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.

Conic sections: Topics covered

• Sections of a cone: circles, ellipse, parabola, hyperbola, a point
• A straight line and a pair of intersecting lines as a degenerated case of a conic section
• Standard equations and simple properties of parabola, ellipse and hyperbola
• Standard equation of a circle

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

The 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.

3D Geometry: Topics covered

• Coordinate axes and coordinate planes in three dimensions.
• Coordinates of a point.
• 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.

Limits and Derivatives: Topics Covered

• Derivative introduced as rate of change both as that of distance function and geometrically
• Intuitive idea of limit
• Limits of polynomials and rational functions trigonometric, exponential and logarithmic functions
• Definition of derivative relate it to scope of tangent of the curve
• Derivative of sum, difference, product and quotient of functions
• Derivatives of polynomial and trigonometric functions

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. 

Statistics: Topics Covered

• Measures of Dispersion
• 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 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.

Probability: Topics covered

• Events; occurrence of events, ‘not’, ‘and’ and ‘or’ events
• Exhaustive events, mutually exclusive events
• Axiomatic (set theoretic) probability, connections with other theories of earlier classes
• Probability of an event, probability of ‘not’, ‘and’ and ‘or’ events

Check the weightage of Marks below.

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

Q 1. Where can I find NCERT Class 11 Maths solutions?

Q 2 Which unit has the maximum weightage in NCERT Class 11 Maths?

Q 3 What are the benefits of practicing the NCERT Class 11 Maths solutions?

Q 4 How to score good marks in Class 11 Maths Board exam?

Q 5 What is the marks distribution for CBSE Theory exam and internal assessment as per the CBSE Maths Syllabus for Class 11?

Q 6 Is Algebra important for the CBSE Class 11 Maths?

Q 7 What is the weightage of the units in NCERT Class 11 Maths?

Q 8 Which are the topics covered in Class 11 Maths Chapter 1 Sets?

Q 9 How many marks are allotted for internal assessment in the CBSE Class 11 Maths?

Q 10 What is the weightage of Statistics and Probability in Class 11 Maths?

Q 11 Is Sequence and Series from Class 11 Maths important for the JEE exam?