# NCERT Exemplar Solutions for Mathematics Class 11

## CBSE Class 11 Maths Solutions Guide

Shaalaa.com provides the CBSE Class 11 Maths Solutions Digest. Shaalaa is undoubtedly a site that most of your classmates are using to perform well in exams.

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## CBSE Class 11 Maths Textbook Solutions

Questions and answers for the Class 11 Maths Textbook are on this page. NCERT Exemplar Solutions for Class 11 Maths Digest CBSE will help students understand the concepts better.

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

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

## NCERT Exemplar Class 11 solutions for other subjects

We also provide solutions for other subjects to help you top the exams. These NCERT Exemplar solutions are curated with respect to the exam pattern and old papers. Find the best questions and solutions here. Click now to access it.

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

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

ExerciseNo. of questionsPages
Solved Examples324 to 12
Exercise8512 to 18

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

ExerciseNo. of questionsPages
Solved Examples2122 to 27
Exercise7227 to 33

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

ExerciseNo. of questionsPages
Solved Examples2239 to 51
Exercise7752 to 60

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

ExerciseNo. of questionsPages
Solved Examples1661 to 70
Exercise3070 to 72

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

ExerciseNo. of questionsPages
Solved Examples4578 to 90
Exercise6691 to 97

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

ExerciseNo. of questionsPages
Solved Examples30100 to 106
Exercise53107 to 113

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

ExerciseNo. of questionsPages
Solved Examples21115 to 121
Exercise6926 to 128

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

ExerciseNo. of questionsPages
Solved Examples22132 to 142
Exercise42142 to 146

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

ExerciseNo. of questionsPages
Solved Examples22150 to 160
Exercise38161 to 164

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

ExerciseNo. of questionsPages
Solved Examples20168 to 177
Exercise59178 to 185

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

ExerciseNo. of questionsPages
Solved Examples23193 to 201
Exercise63202 to 207

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

ExerciseNo. of questionsPages
Solved Examples24224 to 234
Exercise49235 to 240

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

ExerciseNo. of questionsPages
Solved Examples28227 to 239
Exercise81239 to 245

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

ExerciseNo. of questionsPages
Solved Examples32254 to 261
Exercise111261 to 269

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

ExerciseNo. of questionsPages
Solved Examples9272 to 277
Exercise46238 to 283

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

ExerciseNo. of questionsPages
Solved Examples25289 to 296
Exercise72296 to 302

## NCERT Exemplar Solutions for Mathematics Class 11

Class 11 NCERT Exemplar solutions answers all the questions given in the NCERT Exemplar textbooks in a step-by-step process. Our Maths tutors have helped us put together this for our Class 11 Students. The solutions on Shaalaa will help you solve all the NCERT Exemplar Class 11 Maths questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.

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## NCERT Exemplar Solutions for Class 11 Maths CBSE

Class 11 NCERT Exemplar Solutions answer all the questions in the NCERT Exemplar textbooks in a step-by-step process. Our Maths tutors helped us assemble this for our Class 11 students. The solutions on Shaalaa will help you solve all the NCERT Exemplar Class 11 Maths questions without any problems. Every chapter has been broken down systematically for the students, which gives them fast learning and easy retention.

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## NCERT Exemplar Class 11 Maths Guide Book Back Answers

The following CBSE NCERT Exemplar Class 11 Maths Book Answers Solutions Guide PDF Free Download in English Medium will be helpful to you. Answer material is developed per the latest exam pattern and is part of NCERT Exemplar Class 11 Books Solutions. You will be aware of all topics or concepts discussed in the book and gain more conceptual knowledge from the study material. If you have any questions about the CBSE New Syllabus Class 11 Maths Guide PDF of Text Book Back Questions and Answers, Notes, Chapter Wise Important Questions, Model Questions, etc., please get in touch with us.

## Comprehensive NCERT Exemplar Solutions for CBSE Maths Class 11 Guide

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Our CBSE NCERT Exemplar solutions for Maths Class 11 cover everything from Sets, Relations and Functions, Trigonometric Functions, Principle of Mathematical Induction, Complex Numbers and Quadratic Equations, Linear Inequalities, Permutations and Combinations, Binomial Theorem, Sequences and Series, Straight Lines, Conic Sections, Introduction to Three Dimensional Geometry, Limits and Derivatives, Mathematical Reasoning, Statistics, Probability and the other topics.

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