CBSE (Commerce) Class 11CBSE
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# Class 11 Maths NCERT Solutions

## Solutions for Mathematics Textbook for Class 11

Shaalaa provides NCERT Solutions for Class 11 Maths and has all the answers for the questions given in Mathematics Textbook for Class 11. Shaalaa is surely a site that most of your classmates are using to perform in exams.

You can solve Mathematics Textbook for Class 11 and use Shaalaa NCERT Solutions for Class 11 Maths to check your answers.

#### NCERT Solutions for Class 11 Maths ## Chapters covered in NCERT Solutions for Class 11 Maths

#### Chapter 1: Sets

Shaalaa has a total of 218 questions are solved for this Chapter in Class 11 Maths. Chapters covered in Sets are Complement of a Set, Difference of Sets, Element Count Set, Equal Sets, Finite and Infinite Sets, Intersection of Sets, Intrdouction of Operations on Sets, Open and Close Intervals, Operation on Set - Disjoint Sets, Power Set, Practical Problems on Union and Intersection of Two Sets, Proper and Improper Subset, Sets and Their Representations, Subsets, The Empty Set, Union Set, Universal Set, Venn Diagrams

#### Chapter 2: Relations and Functions

Shaalaa has a total of 42 questions are solved for this Chapter in Class 11 Maths. Chapters covered in Relations and Functions are Algebra of Real Functions, Brief Review of Cartesian System of Rectanglar Co-ordinates, Cartesian Product of Sets, Equality of Ordered Pairs, Exponential Function, Functions, Graph of Function, Logarithmic Functions, Ordered Pairs, Pictorial Diagrams, Pictorial Representation of a Function, Relation, Some Functions and Their Graphs

#### Chapter 3: Trigonometric Functions

Shaalaa has a total of 71 questions are solved for this Chapter in Class 11 Maths. Chapters 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 of Sum and Difference of Two Angles, Truth of the Identity, Values of Trigonometric Functions at Multiples and Submultiples of an Angle

#### Chapter 4: Principle of Mathematical Induction

Shaalaa has a total of 24 questions are solved for this Chapter in Class 11 Maths. Chapters covered in Principle of Mathematical Induction are Motivation, Principle of Mathematical Induction

#### Chapter 5: Complex Numbers and Quadratic Equations

Shaalaa has a total of 0 questions are solved for this Chapter in Class 11 Maths. Chapters covered in Complex Numbers and Quadratic Equations are Algebraic Properties of Complex Numbers, Algebra of Complex Numbers, Algebra of Complex Numbers - Equality, Argand Plane and Polar Representation, Complex Numbers, Need for Complex Numbers, Quadratic Equations, Square Root of a Complex Number, The Modulus and the Conjugate of a Complex Number

#### Chapter 6: Linear Inequalities

Shaalaa has a total of 70 questions are solved for this Chapter in Class 11 Maths. Chapters 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

#### Chapter 7: Permutations and Combinations

Shaalaa has a total of 54 questions are solved for this Chapter in Class 11 Maths. Chapters covered in Permutations and Combinations are Concept of Combinations, Concept of Permutations, Derivation of Formulae and Their Connections, Factorial N (N!) Permutations and Combinations, Fundamental Principle of Counting, Introduction of Permutations and Combinations, Permutation Formula to Rescue and Type of Permutation, Simple Applications of Permutations and Combinations, Smaller Set from Bigger Set

#### Chapter 8: Binomial Theorem

Shaalaa has a total of 38 questions are solved for this Chapter in Class 11 Maths. Chapters 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

#### Chapter 9: Sequences and Series

Shaalaa has a total of 109 questions are solved for this Chapter in Class 11 Maths. Chapters 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

#### Chapter 10: Straight Lines

Shaalaa has a total of 78 questions are solved for this Chapter in Class 11 Maths. Chapters 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

#### Chapter 11: Conic Sections

Shaalaa has a total of 70 questions are solved for this Chapter in Class 11 Maths. Chapters 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

#### Chapter 12: Introduction to Three Dimensional Geometry

Shaalaa has a total of 27 questions are solved for this Chapter in Class 11 Maths. Chapters 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

#### Chapter 13: Limits and Derivatives

Shaalaa has a total of 92 questions are solved for this Chapter in Class 11 Maths. Chapters 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

#### Chapter 14: Mathematical Reasoning

Shaalaa has a total of 68 questions are solved for this Chapter in Class 11 Maths. Chapters 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

#### Chapter 15: Statistics

Shaalaa has a total of 34 questions are solved for this Chapter in Class 11 Maths. Chapters covered in Statistics are Central Tendency - Mean, Central Tendency - Median, Central Tendency - Mode, Comparison of Two Frequency Distributions with Same Mean, 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

#### Chapter 16: Probability

Shaalaa has a total of 133 questions are solved for this Chapter in Class 11 Maths. Chapters 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 Solutions for Class 11 Maths

Class 11 NCERT solutions answers all the questions given in the NCERT 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 Class 11 Mathematics questions without any problems. Every chapter has been broken down systematically for the students, which gives fast learning and easy retention.

Shaalaa provides free NCERT solutions for Class 11 Maths. Shaalaa has carefully crafted NCERT solutions for Class 11 Mathematics that can help you understand the concepts and learn how to answer properly in your board exams. You can also share our link for free Class 11 Mathematics NCERT solutions with your classmates.

If you have any doubts while going through our Class 11 Mathematics NCERT solutions, then you can go through our Video Tutorials for Mathematics. The tutorials should help you better understand the concepts.

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