### Download > CBSE > Class 11 > Mathematics > NCERT Solutions - Principle of Mathematical Induction

## NCERT Solutions for Mathematics Principle of Mathematical Induction |
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Exercise 4.1 | Download |

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**NCERT solutions for class 11 Mathematics**

**NCERT 11 Mathematics Text book Solutions**

NCERT 11th class Mathematics book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE board exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. NCERT 11 Mathematics Text book Solutions.Class 11 Mathematics chapter wise NCERT solution for Mathematics for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.

**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

**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
- 5.4 Quadratic equations
- 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

**CHAPTER 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

**NCERT Solutions Chapter 04 Principle of Mathematical Induction**

**Introduction: One key basis for mathematical thinking is deductive reasoning. An informal, and example of deductive reasoning, borrowed from the study of logic, is an argument expressed in three statements:**

**(a)****Socrates is a man.****(b)****All men are mortal,therfore****(c)****Socrates is mortal.**

**If statements (a) and (b) are true, then the truth of (c) is established.To make this simple mathematical example, we could write:**

**(i)****Eight is divisible by two.****(ii)****Any number divisible by two is an even number, therfore,****(iii)****Eight is an even number.**

**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 from book. NCERT Solutions for CBSE Class 11 maths have total 15 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 11 Mathematics Text book Solutions.

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