Mathematics Class XI
UnitI: Sets and Functions
Chapter 1: Sets
10 Topics

4 Quizzes
Introduction
Subset, Equality of Set, Proper Subset
Null set
Universal Set
Finite Set
Infinite Set
Set Operations
Some Important Properties and Important Laws
Power Set
Important Properties
Practice Questions 1 – Sets – Class XI
Practice Questions 2 – Sets – Class XI
Practice Questions 3 – Sets – Class XI
Practice Questions 4 – Sets – Class XI
Chapter 2: Relations & Functions
14 Topics

4 Quizzes
Ordered pairs & Cartesian Product
Relation
Domain and Range
Inverse Relation
Pictorial Representation of Different types of relation
Types of relation of a set, Equivalence Relation & Congruence Modulo Relation of Integers
Function
Diagrammatic representation of function
Some different types of functions
Real value functions and their graphs
Some real functions and their graphs
Different Categories of function
Equality of functions
Composition of functions
Practice Questions 1 – Relations and Functions – Class XI
Practice Questions 2 – Relations and Functions – Class XI
Practice Questions 3 – Relations and Functions – Class XI
Practice Questions 4 – Relations and Functions – Class XI
Chapter 3: Trigonometric Functions
15 Topics

4 Quizzes
Introduction to Trigonometry
Angles
Degree & Radians
Cartesian Coordinate System & Polar Coordinate System
Trigonometric Ratios and Trigonometric Functions
Relation between Cartesian & Polar Coordinates
Trigonometric Identities
Graphs of Trigonometric Functions
Trigonometric Functions with Negative Angles
Some Trigonometric Measures
Transforming of Trigonometric Expression to Product
Transforming of Trigonometric Expression to Sum
Trigonometric Ratio of some Specific Angles
Trigonometric Equations
Applications of Trigonometric Formulas
Practice Questions 1Trigonometric FunctionsClass XI
Practice Questions 2Trigonometric FunctionsClass XI
Practice Questions 3Trigonometric FunctionsClass XI
Practice Questions 4Trigonometric FunctionsClass XI
UnitII: Algebra
Chapter 1: Principle of Mathematical Induction
3 Topics

5 Quizzes
Introduction
The principle of mathematical induction
Applications
Practice Questions 1 – Principle of Mathematical Inductions – Class XI
Practice Questions 2 Principle of Mathematical Inductions – Class XI
Practice Questions 3 Principle of Mathematical Inductions – Class XI
Practice Questions 4 Principle of Mathematical Inductions – Class XI
Practice Questions 5Principle of Mathematical InductionsClass XI
Chapter 2: Complex Numbers and Quadratic Equations
9 Topics

4 Quizzes
Introduction to Quadratic Equations and Complex Numbers
Algebra of complex numbers
Some important identities of Complex Numbers
Graphical representation of Complex numbers and its conjugate
Some important properties of complex numbers
Properties of the cube roots of unity
Polar representation of Complex Numbers
DeMoivre’s Theorem
Fundamental Theorem of Algebra
Practice Questions 1Complex Numbers & Quadratic EquationsClass XI
Practice Questions 2Complex Numbers & Quadratic EquationsClass XI
Practice Questions 3Complex Numbers & Quadratic EquationsClass XI
Practice Questions 4Complex Numbers & Quadratic EquationsClass XI
Chapter 3: Linear Inequalities
6 Topics

5 Quizzes
Inequalities and Linear inequalities
Types of Inequalities
Solution of Linear Inequality in one Variable
Solution of Linear Inequalities in two variable
System of Linear Inequalities in two variables – Graphical Representation
Properties of Inequality
Practice Questions 4Linear InequalitiesClass XI
Practice Question 1aLinear InequalitiesClass XI
Practice Question 1bLinear InequalitiesClass XI
Practice Question 2Linear InequalitiesClass XI
Practice Questions 3Linear InequalitiesClass XI
Chapter 4: Permutations and Combinations
4 Topics

5 Quizzes
Introduction to Permutation and Combination
Permutation
Combination
Number of Divisions (Applications)
Practice Questions 1Permutation and CombinationsClass XI
Practice Questions 2Permutations and CombinationsClass XI
Practice Questions 3Permutation and CombinationsClass XI
Practice Questions 4Permutation and CombinationClass XI
Practice Questions 5Permutation and CombinationClass XI
Chapter 5: Binomial Theorem
5 Topics

5 Quizzes
Introduction to Binomial Theorem
Statement of Binomial Theorem
Pascal’s triangle
Applications of Binomial Theorem
Properties of Binomial Coefficient
Practice Questions 4Binomial TheoremClass XI
Practice Questions 1Binomial TheoremClass XI
Practice Questions 2Binomial TheoremClass XI
Practice Questions 3Binomial TheoremClass XI
Concept Checkers – Binomial Theorem
Chapter 6: Sequence and Series
10 Topics

4 Quizzes
Introduction and types of Sequence
Series and types of Series
Arithmetic Progression (A.P.)
Arithmetic Mean (A.M.)
Geometric Progression (G.P.)
Geometric Mean (G.M.)
Harmonic Progression (H.P.) & Harmonic Mean (H.M.)
Relation between A.M, G.M and H.M
Sum of some series of Natural numbers
Arithmeticogeometric series
Practice Questions 1Sequence ans SeriesClass XI
Practice Questions 2Sequence ans SeriesClass XI
Practice Questions 3Sequence ans SeriesClass XI
Practice Questions 4Sequence ans SeriesClass XI
UnitIII: Coordinate Geometry
Chapter 1: Straight Lines
16 Topics

5 Quizzes
Introduction to Straight Lines
Distance Formula
Division Formula
Mid Point Formula
Area of a Triangle
Inclination of a line
Parallel Lines and Perpendicular Lines
Angle between a pair of intersecting lines
Some important Properties
Condition of Collinearity of three points
Formula to find coordinates
Locus
Equation of a line in various forms
Condition of coincidence of lines
Condition of Concurrency of three given lines
Some various forms of the equation of a line
Practice Questions 1Straight LinesClass XI
Practice Questions 2Straight LinesClass XI
Practice Questions 3Straight linesClass XI
Practice Questions 4Straight linesClass XI
Practice Questions 5Straight LinesClass XI
Chapter 2: Conic Sections
5 Topics

4 Quizzes
Introduction to Conic Sections
Elementary Concepts of Parabola
Elementary Properties of Ellipse
Elementary Concepts of Hyperbola
Standard Equations
Practice Questions 1Conic SectionsClass XI
Practice Questions 2Conic SectionsClass XI
Practice Questions 3Conic SectionsClass XI
Practice Questions 4Conic SectionsClass XI
Chapter 3. Introduction to Threeâ€“dimensional Geometry
7 Topics

4 Quizzes
Introduction to threedimensional geometry
Space and its dimension
Lines and Planes in Space
Rectangle Cartesian coordinates in space
Projection of a point on a line or a plane
Projection of a segment on a line or a plane
Division Formula
Practice Questions 13D GeometryClass XI
Practice Questions 23D GeometryClass XI
Practice Questions 33D GeometryClass XI
Practice Questions 43D GeometryClass XI
UnitIV: Calculus
Chapter 1: Limits and Derivatives
6 Topics

4 Quizzes
Introduction and historical background
Sequence
Limit of functions
Limits and their Applications
Differentiation
Algebra of Derivatives
Practice Questions 1Limits and DerivativesClass XI
Practice Questions 2Limits and DerivativesClass XI
Practice Questions 3Limits and DerivativesClass XI
Practice Questions 4Limits and DerivativesClass XI
UnitV: Mathematical Reasoning
Chapter 1: Mathematical Reasoning
15 Topics

6 Quizzes
Statement and Negation of Statement
Compound Statement
Conjunction
Disjunction
Quantifiers
Conditional (Implification)
Converse
Inverse
Contrapositive
Biconditional
Equivalent Proposition
Tautology
Contradiction
Algebra of Statement: Some Standard Equivalence Relation
Negation of Compound Statement
Practice Questions 1 – Mathematical Reasoning – Class XI
Practice Questions 2 – Mathematical Reasoning – Class XI
Practice Questions 3Mathematical ReasoningClass XI
Practice Questions 4 – Mathematical Reasoning – Class XI
Practice Questions 5 – Mathematical Reasoning – Class XI
Practice Questions 6 – Mathematical Reasoning – Class XI
UnitVI: Statistics and Probability
Chapter 1: Statistics
6 Topics

5 Quizzes
Introduction and historical background
Bar Graphs
Pictorial Diagram or Pictogram
Measure of Central Tendency
Quantiles
Relation between Mean, Median and Mode
Practice Questions 1StatisticsClass XI
Practice Questions 2StatisticsClass XI
Practice Questions 3StatisticsClass XI
Practice Questions 4StatisticsClass XI
Concept Checkers – Statistics
Chapter 2: Probability
7 Topics

4 Quizzes
Introduction and historical background
Random Experiment
Sample Space and Event
Types of Events
Equiprobable Space or Uniform Space
Independency of Events
Baye’s Theorem
Practice Question 1ProbabilityClass XI
Practice Question 2ProbabilityClass XI
Practice Question 3ProbabilityClass XI
Practice Question 4ProbabilityClass XI
Moct Test 2Maths Class XI
Moct Test 1Maths Class XI
Mock Test 3 – Maths Class XI
Concept Checkers – Statistics
Mathematics Class XI
Chapter 1: Statistics
Concept Checkers – Statistics
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