# NCERT solutions for class 11 Mathematics

## NCERT 11 Mathematics Text book Solutions

### NCERT Class 11 Mathematics Chapter-wise Solutions

• Chapter 1 – Sets
• Chapter 2 – Relations And Functions
• Chapter 3 – Trigonometric Functions
• Chapter 4 – Principles Of Mathematical Induction
• Chapter 5 – Complex Numbers And Quadratic Equations
• Chapter 6 – Linear Inequalities
• Chapter 7 – Permutations And Combinations
• Chapter 8 – Binomial Theorem
• Chapter 9 – Sequences And Series
• Chapter 10 – Straight Lines
• Chapter 11 – Conic Sections
• Chapter 12 – Introduction To 3-D Geometry
• Chapter 13 – Limits And Derivatives
• Chapter 14 – Mathematical Reasoning
• Chapter 15 – Statistics
• Chapter 16 – Probability

Here is the list of topics covered under each chapter of class 11 Mathematics NCERT text book.

### CHAPTER ONE SETS

• 1.1 Sets and their representation
• 1.2 Types of sets: empty sets, finite and infinite sets, power set, universal set
• 1.3 Cardinality of sets
• 1.4 Subset and superset
• 1.5 Venn diagram
• 1.6 Operation on sets: union of sets
• 1.7 Operation on sets: intersection and difference of sets
• 1.8 Complement of sets
• 1.9 Practical problems on union and intersection of two sets

### CHAPTER TWO RELATIONS AND FUNCTIONS

• 2.1 Cartesian product of sets
• 2.2 Relations
• 2.3 Function: domain and range
• 2.4 Identity function, constant function and modulus function
• 2.5 Graphs of polynomial function
• 2.6 Graphs of rational function
• 2.7 Algebra of real functions

### CHAPTER THREE TRIGNOMETRIC FUNCTIONS

• 3.1 Angles
• 3.2 Trignometric functions
• 3.3 Domain and range of trignometric functions
• 3.4 Trignometric function of sum and difference of two angles
• 3.5 Trignometric equations

### CHAPTER FOUR PRINCIPLE OF MATHEMATICAL INDUCTION

• 4.1 Introduction and motivation
• 4.2 The principle of mathematical induction

### CHAPTER FIVE COMPLEX NUMBERS AND QUADRATIC EQUATION

• 5.1 Algebra of complex numbers
• 5.2 Modulus and conjugate of complex numbers
• 5.3 Argand plane and polar representation
• 5.5 Euler’s formula and De Moivre’s theorem

### CHAPTER SIX LINEAR INEQUALITIES

• 6.1 Inequalities
• 6.2 Algebraic solution of linear inequality in one variable and their graphical representation
• 6.3 Graphical solution of linear inequalities in two variables
• 6.4 Solution of system of linear inequalities in two variables

### CHAPTER SEVEN PERMUTATION AND COMBINATION

• 7.1 Fundamental principle of counting
• 7.2 Permutations
• 7.3 Combinations

### CHAPTER EIGHT BINOMIAL THEOREM

• 8.1 Binomial theorem for positive integral indices
• 8.2 General and middle term

### CHAPTER NINE SEQUENCE AND SERIES

• 9.1 Sequences and Series
• 9.2 Arithmetic progressions
• 9.3 Geometric progression
• 9.4 Relationship between Aithmetic mean and geometric mean
• 9.5 Sum to n terms of special series

### CHAPR TEN STRAIGHT LINES

• 10.1 Slope of a line
• 10.2 Various forms of equation of line
• 10.3 General equation of line
• 10.4 Distance of a point form a line

### CHAPTER ELEVEN CONIC SECTIONS

• 11.1 Sections of cone
• 11.2 Circle
• 11.3 Parabola
• 11.4 Ellipse
• 11.5 Hyperbola

### CHAPTER TWELVE INTRODUCTION TO 3-D GEOMETRY

• 12.1 Coordinates of point in space
• 12.2 Distance between two points
• 12.3 Section formula

### CHAPTER THIRTEEN LIMITS AND DERIVATIVES

• 13.1 Intuitive idea of derivative
• 13.2 limits
• 13.3 Limits of trigonometric function
• 13.4 Derivatives
• 13.5 Algebra of derivative of function

### CHAPTER FOURTEEN MATHEMATICAL REASONING

• 14.1 Introduction
• 14.2 Statements
• 14.3 New statements from old
• 14.4 Special word/phrase
• 14.5 Implications
• 14.6 validating statements

### CHAPTER FIFTEEN STATISTICS

• 15.1 Measures of dispersion and range
• 15.2 Mean deviation
• 15.3 mean deviation for ungrouped data
• 15.4 mean deviation for discrete frequency distribution
• 15.5 mean deviation for continuous frequency distribution
• 15.6 Variance and standard deviation
• 15.7 Shortcut method for finding variance and standard deviation
• 15.8 Analysis of frequency distribution

### CHAPTER SIXTEEN PROBABILITY

• 16.1 Random experiment
• 16.2 Event and types of event
• 16.3 Algebra of event
• 16.4 Axiomatic approach to probability

## NCERT Solutions Chapter 09: Sequences and Series

In mathematics, the word, "sequence" is used in much the same way as it is in ordinary English. When we say that a collection of objects is listed in a sequence, we usually mean that the collection is ordered in such a way that it has an identified first member, second member, third member and so on. For example, population of human beings or bacteria at differnt times form a sequence. The amount of money deposited in a bank, over a number of years form a sequence. Depreciated values of certain commodity occur in a sequence. Sequences have important applications in several spheres of human activities.

## NCERT Solutions for Class 11th Mathematics

NCERT Solutions Class 11 Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 11 Mathematics includes text book solutions. NCERT Solutions for CBSE Class 11 maths have total 16 chapters. Class 11 Mathematics ncert Solutions in pdf for free Download are given in this website. Ncert Mathematics class 11 solutions PDF and Mathematics ncert class 11 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

## NCERT Solutions for Class 3

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