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JEE Advanced
JEE Advanced
Sequence and Series
Sequence and Series
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Chapter 00 Basic Maths
Chapter 00 Basic Maths
Concept of Sets, Notation and Operation
Solving Equations
Wavy Curve Method
Quadratic Expressions
More Properties of Real Numbers
Modulus or Absolute Value of a Real Number
Ratio and Proportion
Chapter 01 Sets
Chapter 01 Sets
Introduction
Definitions
3 Venn Diagrams
Set Operations
Chapter 02 Quadratic Equations
Chapter 02 Quadratic Equations
Introduction
Definition
Evaluating and Visualizing a quadratic expression
Transforming a quadratic expression
Extreme Values and Graph of a Quadratic Expression
Range of Quadratic Expressions
Roots
Relation of Roots with Graphs
Nature of Roots
Formation of Quadratic Equation
Common Roots
Location of Roots
Transformation of Roots
Chapter 03 Sequence and Series
Chapter 03 Sequence and Series
Introduction
Sigma Notation
Arithmetic Progression
Geometric Progression
Harmonic Progression
Means and Inequalities based on them
Arithmetico-Geometric Progression
Special Series
Telescoping Series
Method of Differences
Chapter 04 Complex Numbers Basics
Chapter 04 Complex Numbers Basics
Introduction to Complex Numbers
Geometrical Representation of Complex Numbers
Fundamental Operations on Complex Numbers
Square Root of a Complex Number
Properties of Conjugate and Modulus of a Complex Number
Polar Form of a Complex Number
Properties of Argument
Chapter 05 Polynomials
Chapter 05 Polynomials
Introduction
Algebra of Polynomials
Dividing Polynomials
Remainder Theorem
Polynomial Equation, Roots and factorization
Finding Roots of Polynomials
Transformation of Roots
Symmetric Functions of Roots
Greatest Common Divisor
Reciprocal Equations
Chapter 06 Trigonometry
Chapter 06 Trigonometry
Introduction
Measurement of Angles
Radian Measure of Angles
Right Triangle Trigonometry
Circular Trigonometric Functions
Drawing Graphs
Compound Angles
Sinusoidal Fucntion
Multiple Angles
Submultiple Angles
Some Special Angles
Conditional Identities
Trigonometric Series
Chapter 07 Coordinate Geometry Fundamentals
Chapter 07 Coordinate Geometry Fundamentals
Introduction to Coordinate Geometry
Measuring Distances
Section Formula and Centres of a Triangle
Area
Locus
Transformation of axes
Chapter 08 Straight Lines
Chapter 08 Straight Lines
Inclination and Slope of a Line
Equation of a Straight Line
Interaction of Points with a Line
Interaction between Lines
Family of Lines
Triangles and Quadrilaterals formed by lines
Angle Bisectors
Optimization
Chapter 09 Pair of Straight Lines
Chapter 09 Pair of Straight Lines
Joint Equations
Homogenous Pair of Straight Lines
Nature of Pair of Straight Lines
Angle between pair of Straight Lines
Triangles and Pair of Straight Lines
Pair of Angle Bisectors
Product of Perpendiculars
Centres of a Triangle
General Pair of Straight Lines
Parallel Pair of Straight Lines
Point of intersection of a General Pair of Straight Lines
Some Important Results on Pair of Straight Lines
Chapter 10 Matrices and Determinants
Chapter 10 Matrices and Determinants
Solving System of Linear Equations
Introduction to Matrices
Symmetric and Skew-Symmetric Matrices
Determinants
Properties of Determinants
Product of Determinants
Inverse of a Matrix
Some Special Types of Matrices
Matrices and Geometry
System of Linear Equations
Chapter 11 Relations and Functions
Chapter 11 Relations and Functions
Introduction
Cartesian Product
Relations
Definition of Functions
Graph of a Function
Piecewise-defined Functions
Algebraic vs Transcendental Function
Functions of Multiple Variables
Fundamental Functions
Algebra of Functions
Types of Functions
Inverse of a Function
Even and Odd Functions
Transformation of Functions
Periodic Functions
Finding Domain of a Function
Range of a Function
Functional Equations
Chapter 12 Inverse Trigonometric Functions
Chapter 12 Inverse Trigonometric Functions
01 Introduction
Chapter 13 Limits
Chapter 13 Limits
Introduction
Evaluation of Limits
Evaluating 0/0 form
Evaluating ∞/∞ Form
Evaluating 0x∞ Form
Evaluation of ∞ - ∞ Form
Evaluating one raised to power infinity form
Evaluation of Infinity raised to power zero form
Zero raised to the power zero form
Composite Indeterminate Forms
Asymptotes of a Curve
Limits of Sequences
Chapter 14 Continuity and Differentiability
Chapter 14 Continuity and Differentiability
Introduction
Definition
Continuity in an Interval
Important Theorems on Continuity
Differentiability
Differentiability in an Interval
Derivative
Differentiability Under Algebraic Operations
Chapter 15 Differentiation
Chapter 15 Differentiation
Introduction
Derivative from First Principles (Ab Initio Approach)
Rules of Differentiation
Implicit Differentiation
Exponential Differentiation
Logarithmic Differentiation
Differentiating Inverse Functions
Parametric Differentiation
Higher Order Derivatives
Miscellaneuous
Chapter 16 Application of Derivatives
Chapter 16 Application of Derivatives
Introduction
Rate of change
Monotonicity
Concavity
Maxima and Minima
Mean Value Theroems
Tangents and Normals
Approximations
Chapter 17 Vector Algebra
Chapter 17 Vector Algebra
Introduction
Operations on Vectors
Section Formulae
Collinearity and Coplanarity of Points
Linear Independence
Resolution of Vectors
Dot Product of Vectors
Cross Product of Vectors
Scalar Triple Product
Vector Triple Product
Direction Cosines
Straight Lines in Three Dimensions
Planes
Planes II
Solving Vector Equations
Chapter 18 Three Dimensional Geometry
Chapter 18 Three Dimensional Geometry
01 Introduction
Chapter 19 Circles
Chapter 19 Circles
Introduction
Equation of Circle
Location of Circle with respect to Axes
Interaction of a Point with a Circle
Interaction of Line with Circle
Tangent and Normal at a point on the Circle
Pair of Tangents
Equation of a Chord with known midpoint
Interaction of Two Circles
Common Tangents
Family of Circles
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