Mathematics Class XI

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
Relations and Functions
14 Topics | 4 Quizzes
Ordered pairs and Cartesian products
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
Trigonometric Functions
15 Topics
Introduction to Trigonometry
Angles
Degree and 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
Principle of Mathematical Induction
3 Topics | 2 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
Complex Numbers and Quadratic Equations
9 Topics
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
De-Moivre’s Theorem
Fundamental Theorem of Algebra
Linear Inequalities
6 Topics
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
Permutations and Combinations
4 Topics | 4 Quizzes
Introduction to Permutation and Combination
Permutation
Combination
Number of Divisors (Applications)
Practice Questions 1-Permutation and Combination-Class XI
Practice Questions 2-Permutations and Combinations-Class XI
Practice Questions 3-Permutation and Combination-Class XI
Practice Questions 4-Permutation and Combination-Class XI
Binomial Theorem
5 Topics | 2 Quizzes
Introduction to Binomial Theorem
Statement of Binomial Theorem
Pascal’s triangle
Applications of Binomial Theorem
Properties of Binomial Co-efficient
Practice Questions 1-Binomial Theorem-Class XI
Practice Questions 2-Binomial Theorem-Class XI
Sequence and Series
10 Topics
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
Arithmetico-geometric series
Straight Lines
16 Topics
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
Conic Sections
5 Topics
Introduction to Conic Sections
Elementary Concepts of Parabola
Elementary Properties of Ellipse
Elementary Concepts of Hyperbola
Standard Equations
Introduction to Three Dimensional Geometry
7 Topics
Introduction to three-dimensional 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
Limits and Derivatives
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 3 – Mathematical Reasoning – Class XI
Practice Questions 4 – Mathematical Reasoning – Class XI
Practice Questions 5 – Mathematical Reasoning – Class XI
Practice Questions 6 – Mathematical Reasoning – Class XI
Statistics
Probability
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Mathematics Class XI Sets
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