# Class 11 Maths NCERT Solutions

## CBSE, Karnataka Board PUC Class 11 Maths Solutions Guide

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## CBSE, Karnataka Board PUC Class 11 Maths Textbook Solutions

Questions and answers for the Class 11 Maths Textbook on this page. NCERT Solutions for Class 11 Maths Digest CBSE, Karnataka Board PUC will help students understand the concepts better.

## NCERT Solutions for Class 11 Maths Chapterwise List | Class 11 Maths Digest

The answers to the NCERT books are the best study material for students. Listed below are the chapter-wise NCERT Maths Class 11 Solutions CBSE, Karnataka Board PUC.

### Appears in ## Chapters covered in NCERT Solutions for Class 11 Mathematics

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 1: Sets

Concepts covered in Sets are Complement of a Set, Difference of Sets, Disjoint Sets, Element Count Set, Empty Set (Null or Void Set), Equal Sets, Finite and Infinite Sets, Intersection of Sets, Intrdouction of Operations on Sets, Open and Close Intervals, Power Set, Practical Problems on Union and Intersection of Two Sets, Proper and Improper Subset, Sets and Their Representations, Subsets, Union of Sets, Universal Set, Venn Diagrams

#### NCERT Class 11 Mathematics (11th) Chapter 1: Sets exercises

ExerciseNo. of questionsPages
Exercise 1.1344 to 5
Exercise 1.2218 to 9
Exercise 1.34312 to 13
Exercise 1.45817 to 18
Exercise 1.53220 to 21
Exercise 1.6824
Miscellaneous Exercise2226 to 27

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 2: Relations and Functions

Concepts covered in Relations and Functions are Algebra of Real Functions, Brief Review of Cartesian System of Rectanglar Co-ordinates, Cartesian Product of Sets, Concept of Functions, Concept of Relation, Equality of Ordered Pairs, Exponential Function, Graph of Function, Logarithmic Functions, Ordered Pairs, Pictorial Diagrams, Pictorial Representation of a Function, Some Functions and Their Graphs

#### NCERT Class 11 Mathematics (11th) Chapter 2: Relations and Functions exercises

ExerciseNo. of questionsPages
Exercise 2.11633 to 34
Exercise 2.2935 to 36
Exercise 2.3844
Miscellaneous Exercise1246 to 47

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 3: Trigonometric Functions

Concepts covered in Trigonometric Functions are 180 Degree Plusminus X Function, 2X Function, 3X Function, 90 Degree Plusminus X Function, Concept of Angle, Conversion from One Measure to Another, Domain and Range of Trigonometric Functions, Expressing Sin (X±Y) and Cos (X±Y) in Terms of Sinx, Siny, Cosx and Cosy and Their Simple Applications, Graphs of Trigonometric Functions, Introduction of Trigonometric Functions, Negative Function Or Trigonometric Functions of Negative Angles, Signs of Trigonometric Functions, Sine and Cosine Formulae and Their Applications, Transformation Formulae, Trigonometric Equations, Trigonometric Functions, Trigonometric Functions of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### NCERT Class 11 Mathematics (11th) Chapter 3: Trigonometric Functions exercises

ExerciseNo. of questionsPages
Exercise 3.11554 to 55
Exercise 3.21063
Exercise 3.32773 to 74
Exercise 3.493 to 78
Miscellaneous Exercise1081 to 82

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 4: Principle of Mathematical Induction

Concepts covered in Principle of Mathematical Induction are Motivation, Principle of Mathematical Induction

#### NCERT Class 11 Mathematics (11th) Chapter 4: Principle of Mathematical Induction exercises

ExerciseNo. of questionsPages
Exercise 4.12494 to 95

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 5: Complex Numbers and Quadratic Equations

Concepts covered in Complex Numbers and Quadratic Equations are Algebraic Operations of Complex Numbers, Algebraic Properties of Complex Numbers, Algebra of Complex Numbers - Equality, Argand Plane and Polar Representation, Concept of Complex Numbers, Need for Complex Numbers, Quadratic Equations, Square Root of a Complex Number, The Modulus and the Conjugate of a Complex Number

#### NCERT Class 11 Mathematics (11th) Chapter 5: Complex Numbers and Quadratic Equations exercises

ExerciseNo. of questionsPages
Exercise 5.114103 to 104
Exercise 5.28108
Exercise 5.310109
Miscellaneous Exercise22112 to 113

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 6: Linear Inequalities

Concepts covered in Linear Inequalities are Algebraic Solutions of Linear Inequalities in One Variable and Their Graphical Representation, Graphical Solution of Linear Inequalities in Two Variables, Inequalities - Introduction, Solution of System of Linear Inequalities in Two Variables

#### NCERT Class 11 Mathematics (11th) Chapter 6: Linear Inequalities exercises

ExerciseNo. of questionsPages
Exercise 6.131122 to 123
Exercise 6.210127
Exercise 6.315129
Miscellaneous Exercise14132

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 7: Permutations and Combinations

Concepts covered in Permutations and Combinations are Combination, Derivation of Formulae and Their Connections, Factorial N (N!) Permutations and Combinations, Fundamental Principles of Counting, Introduction of Permutations and Combinations, Permutation Formula to Rescue and Type of Permutation, Permutations, Simple Applications of Permutations and Combinations, Smaller Set from Bigger Set

#### NCERT Class 11 Mathematics (11th) Chapter 7: Permutations and Combinations exercises

ExerciseNo. of questionsPages
Exercise 7.16138
Exercise 7.28140 to 141
Exercise 7.315148
Exercise 7.411153
Miscellaneous Exercise12156 to 157

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 8: Binomial Theorem

Concepts covered in Binomial Theorem are Binomial Theorem for Positive Integral Indices, General and Middle Terms, Introduction of Binomial Theorem, Proof of Binomial Therom by Combination, Proof of Binomial Therom by Pattern, Rth Term from End, Simple Applications of Binomial Theorem

#### NCERT Class 11 Mathematics (11th) Chapter 8: Binomial Theorem exercises

ExerciseNo. of questionsPages
Exercise 8.116166 to 167
Exercise 8.212171
Miscellaneous Exercise10175 to 176

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 9: Sequences and Series

Concepts covered in Sequences and Series are Arithmetic Progression (A.P.), Concept of Sequences, Concept of Series, Geometric Progression (G. P.), Introduction of Sequence and Series, Relationship Between A.M. and G.M., Sum to N Terms of Special Series

#### NCERT Class 11 Mathematics (11th) Chapter 9: Sequences and Series exercises

ExerciseNo. of questionsPages
Exercise 9.114180 to 181
Exercise 9.218185 to 186
Exercise 9.334192 to 193
Exercise 9.410196
Miscellaneous Exercise33199 to 200

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 10: Straight Lines

Concepts covered in Straight Lines are Brief Recall of Two Dimensional Geometry from Earlier Classes, Distance of a Point from a Line, Equation of Family of Lines Passing Through the Point of Intersection of Two Lines, General Equation of a Line, Shifting of Origin, Slope of a Line, Various Forms of the Equation of a Line

#### NCERT Class 11 Mathematics (11th) Chapter 10: Straight Lines exercises

ExerciseNo. of questionsPages
Exercise 10.114211 to 212
Exercise 10.220219 to 220
Exercise 10.325227 to 228
Miscellaneous Exercise24233 to 234

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 11: Conic Sections

Concepts covered in Conic Sections are Concept of Circle, Eccentricity, Introduction of Ellipse, Introduction of Hyperbola, Introduction of Parabola, Latus Rectum, Relationship Between Semi-major Axis, Semi-minor Axis and the Distance of the Focus from the Centre of the Ellipse, Sections of a Cone, Special Cases of an Ellipse, Standard Equation of a Circle, Standard Equation of Hyperbola, Standard Equations of an Ellipse, Standard Equations of Parabola

#### NCERT Class 11 Mathematics (11th) Chapter 11: Conic Sections exercises

ExerciseNo. of questionsPages
Exercise 11.115241
Exercise 11.212246 to 247
Exercise 11.320255
Exercise 11.415262
Miscellaneous Exercise8264

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 12: Introduction to Three Dimensional Geometry

Concepts covered in Introduction to Three Dimensional Geometry are Coordinate Axes and Coordinate planes, Coordinates of a Point in Space, Distance Between Two Points, Section Formula, Three Dimessional Space

#### NCERT Class 11 Mathematics (11th) Chapter 12: Introduction to Three Dimensional Geometry exercises

ExerciseNo. of questionsPages
Exercise 12.16271
Exercise 12.210273
Exercise 12.35277
Miscellaneous Exercise6278 to 279

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 13: Limits and Derivatives

Concepts covered in Limits and Derivatives are Algebra of Derivative of Functions, Algebra of Limits, Derivative Introduced as Rate of Change Both as that of Distance Function and Geometrically, Derivative of Polynomials and Trigonometric Functions, Derivative of Slope of Tangent of the Curve, Derive Derivation of x^n, Graphical Interpretation of Derivative, Introduction of Derivatives, Introduction of Limits, Introduction to Calculus, Intuitive Idea of Derivatives, Limits of Exponential Functions, Limits of Logarithmic Functions, Limits of Polynomials and Rational Functions, Limits of Trigonometric Functions, Theorem for Any Positive Integer n

#### NCERT Class 11 Mathematics (11th) Chapter 13: Limits and Derivatives exercises

ExerciseNo. of questionsPages
Exercise 13.132301 to 303
Exercise 13.227312 to 313
Miscellaneous Exercise33317 to 318

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 14: Mathematical Reasoning

Concepts covered in Mathematical Reasoning are Consolidating the Understanding, Contrapositive and Converse, Difference Between Contradiction, Converse and Contrapositive, Introduction of Validating Statements, Mathematically Acceptable Statements, New Statements from Old, Special Words Or Phrases, Validation by Contradiction

#### NCERT Class 11 Mathematics (11th) Chapter 14: Mathematical Reasoning exercises

ExerciseNo. of questionsPages
Exercise 14.111324
Exercise 14.210329
Exercise 14.311334 to 335
Exercise 14.411338 to 339
Exercise 14.510342 to 343
Miscellaneous Exercise17345

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 15: Statistics

Concepts covered in Statistics are Central Tendency - Mean, Central Tendency - Median, Comparison of Two Frequency Distributions with Same Mean, Concept of Mode, Concept of Range, Introduction of Analysis of Frequency Distributions, Introduction of Variance and Standard Deviation, Mean Deviation, Measures of Dispersion, Measures of Dispersion - Quartile Deviation, Shortcut Method to Find Variance and Standard Deviation, Standard Deviation, Standard Deviation - by Short Cut Method, Standard Deviation of a Continuous Frequency Distribution, Standard Deviation of a Discrete Frequency Distribution, Statistics Concept

#### NCERT Class 11 Mathematics (11th) Chapter 15: Statistics exercises

ExerciseNo. of questionsPages
Exercise 15.112360 to 361
Exercise 15.210371 to 372
Exercise 15.36375 to 380
Miscellaneous Exercise7380

### NCERT Solutions for Class 11 Mathematics (11th) Chapter 16: Probability

Concepts covered in Probability are Algebra of Events, Axiomatic Approach to Probability, Exhaustive Events, Introduction of Event, Mutually Exclusive Events, Occurrence of an Event, Probability of 'Not', 'And' and 'Or' Events, Random Experiments, Types of Events

#### NCERT Class 11 Mathematics (11th) Chapter 16: Probability exercises

ExerciseNo. of questionsPages
Exercise 16.116386 to 387
Exercise 16.216393
Exercise 16.326403 to 406
Miscellaneous Exercise10408 to 409

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