# Notes for JEE Main & Advanced Mathematics

## Recent Notes

Matrices of Rotation of Axes
##### Matrices
Geometrical Transformations
##### Matrices
Cayley-Hamilton Theorem
##### Matrices
Consistency of a System of Linear Equation $\mathbf{AX=B,}$ where $\mathbf{A}$ is a square matrix
##### Matrices
Homogeneous and Non-homogeneous Systems of Linear Equations
##### Matrices
Echelon Form of a Matrix
Rank of Matrix
##### Matrices
Inverse of a Matrix
##### Matrices
Special Types of Matrices
##### Matrices
Transpose of a Matrix
##### Matrices
Positive Integral Powers of a Matrix
##### Matrices
Multiplication of Matrices
##### Matrices
Scalar Multiplication of Matrices
##### Matrices
Trace of a Matrix
##### Matrices
Types of Matrices
##### Matrices
Equality of Matrices
##### Matrices
Order of a Matrix
Definition
##### Matrices
Some Special Determinants
##### Determinants
Application of Determinants in Solving a System of Linear Equations
##### Determinants
Differentiation and Integration of Determinants
##### Determinants
Product of Two Determinants
##### Determinants
Minors and Cofactors
##### Determinants
Properties of Determinants
Definition
##### Determinants
Lagrange's Mean Value Theorem
Rolle's Theorem
##### Applications of Derivatives
Greatest and Least Values of a Function Defined on an Interval $[a,\,\,b]$
##### Applications of Derivatives
Properties of Maxima and Minima
##### Applications of Derivatives
Higher Order Derivative Test
##### Applications of Derivatives
Sufficient Criteria for Extreme Values (1st Derivative Test)
##### Applications of Derivatives
Necessary Condition for Extreme Values
Definition
Definition
##### Applications of Derivatives
Length of Perpendicular from Origin to the Tangent
##### Applications of Derivatives
Length of Intercept Made on Axes by The Tangent
##### Applications of Derivatives
Length of Tangent, Normal, Subtangent, Subnormal
##### Applications of Derivatives
Angle of Intersection of Two Curves
##### Applications of Derivatives
Equation of the Tangent and Normal
##### Applications of Derivatives
Slope of the Tangent and Normal
##### Applications of Derivatives
Velocity and Acceleration in Rectilinear Motion
##### Applications of Derivatives
Derivative as the Rate of Change
##### Differentiation
Deduction of Euler?s Theorem
##### Differentiation
Euler's Theorem on Homogeneous Functions
##### Differentiation
Higher Partial Derivatives
Definition
##### Differentiation
Leibnitz?s Theorem
##### Differentiation
Differentiation of Integral Function
##### Differentiation
${{n}^{th}}$ Derivative Using Partial Fractions
##### Differentiation
Successive Differentiation or Higher Order Derivatives
##### Differentiation
Differentiation of a Function with Respect to Another Function
##### Differentiation
Methods of Differentiation
##### Differentiation
Theorems for Differentiation
##### Differentiation
Some Standard Differentiation
Introduction
##### Differentiation
Relation Between A.P., G.P. and H.P.
##### Geometric Progression
Properties of Arithmetic, Geometric, Harmonic Means Between Two Given Numbers
Special Series
##### Geometric Progression
Method of Difference
##### Geometric Progression
Method for Finding Sum
Sum of A.G.P.
##### Geometric Progression
${{n}^{th}}$term of A.G.P.
Definition
##### Geometric Progression
Properties of H.P.
Harmonic Mean
##### Other Series
General Term of an H.P.
Definition
##### Other Series
Properties of G.P.
Geometric Mean
##### Geometric Progression
Sum of infinite terms of a G.P.
##### Geometric Progression
Sum of first 'n' terms of a G.P.
##### Geometric Progression
Selection of Terms in a G.P.
##### Geometric Progression
General term of a G.P.
Definition
##### Geometric Progression
Properties of A.P.
Arithmetic Mean
##### Arithmetic Progressions
Sum of n terms of an A.P.
##### Arithmetic Progressions
Selection of Terms in an A.P.
##### Arithmetic Progressions
General Term of an A.P.
Definition
##### Arithmetic Progressions
Some Important Results
##### Trigonometric Equations
Some Properties Related to Circle
##### Trigonometric Equations
Some Terminology Related to Height and Distance
##### Trigonometric Equations
Solutions of Triangles
Regular Polygon
##### Trigonometric Equations
Ex-central Triangle
Pedal Triangle
##### Trigonometric Equations
Circle Connected With Triangle
##### Trigonometric Equations
Half Angle Formulae
Area of Triangle
##### Trigonometric Equations
Napier's Analogy (Law of Tangents)
##### Trigonometric Equations
Theorem of The Medians: (Apollonius Theorem)
##### Trigonometric Equations
Projection Formulae
##### Trigonometric Equations
The Law of Cosines or Cosine Rule
##### Trigonometric Equations
Relation Between Sides and Angles
##### Trigonometric Equations
Periodic Functions
##### Trigonometric Equations
Important Points to be Taken in Case of While Solving Trigonometrical Equations
##### Trigonometric Equations
Method for Finding Principal Value
##### Trigonometric Equations
General Solution of The Form $\mathbf{acos}\,\mathbf{\theta +bsin}\,\mathbf{\theta =c}$
##### Trigonometric Equations
Trigonometrical Equations With Their General Solution
##### Trigonometric Equations
Trigonometrical Equations and Inequations Definition
##### Trigonometric Equations
Differentiability of a Function at a Point
##### Functions
Discontinuous Function
##### Functions
Continuity From Left and Right
##### Functions
Continuity of a Function at a Point
Introduction
##### Functions
Methods of Evaluation of Limits
##### Functions
Fundamental Theorems on Limits
##### Functions
Limit of a Function
Inverse Function
##### Functions
Composite Function
##### Functions
Periodic Function
##### Functions
Even and Odd Function
##### Functions
Conditional Trigonometrical Identities
##### Trigonometrical Ratios and Identities
Kinds of function
##### Functions
Algebra of Functions
##### Functions
Domain, Co-domain and Range of Function
##### Functions
Definition of Function
Intervals
##### Functions
Maximum and Minimum Value of a $\mathbf{cos}\,\,\mathbf{\theta }\,\,\mathbf{+}\,\mathbf{b}\,\,\mathbf{sin}\,\,\mathbf{\theta }$
##### Trigonometrical Ratios and Identities
Some Important Definitions
##### Functions
Trigonometric Ratio of Sub-multiple of an Angle
##### Trigonometrical Ratios and Identities
Trigonometric Ratio of Multiple of an Angle
##### Trigonometrical Ratios and Identities
Formulae to Rransform The Product Into Sum or Difference
##### Trigonometrical Ratios and Identities
Trigonometrical Ratios In Terms of Each Other
##### Trigonometrical Ratios and Identities
Trigonometrical Ratios for Some Special Angles
##### Trigonometrical Ratios and Identities
Trigonometrical Ratios for Various Angles
##### Trigonometrical Ratios and Identities
Trigonometrical Ratios of Allied Angles
##### Trigonometrical Ratios and Identities
Trigonometrical Ratios or Functions
##### Trigonometrical Ratios and Identities
Domain and Range of a Trigonometrical Function
##### Trigonometrical Ratios and Identities
Angle of Intersection of Two Spheres
##### Three Dimensional Geometry
Intersection of Straight Line and a Sphere
##### Three Dimensional Geometry
Condition of Tangency of a Plane to a Sphere
##### Three Dimensional Geometry
Relation Between an arc and an Angle
##### Trigonometrical Ratios and Identities
Relation Between Three Systems of Measurement of an Angle
##### Trigonometrical Ratios and Identities
System of Measurement of Angles
##### Trigonometrical Ratios and Identities
Section of a Sphere by a Plane
##### Three Dimensional Geometry
Equation in Sphere in Various Forms
##### Three Dimensional Geometry
General Equation of Sphere
##### Three Dimensional Geometry
Projection of a Line on a Plane
##### Three Dimensional Geometry
Angle Between Line and Plane
##### Three Dimensional Geometry
Intersection Point of a Line and Plane
Introduction
##### Trigonometrical Ratios and Identities
Equation of Plane Through a Given Line
Coplanar Lines
##### Three Dimensional Geometry
Image of a Point in a Plane
##### Three Dimensional Geometry
Equation of Planes Bisecting Angle Between Two Given Planes
##### Three Dimensional Geometry
Locus
Angle Between Two Planes
##### Three Dimensional Geometry
Foot of Perpendicular from a Point $\mathbf{A(\alpha ,}\,\,\mathbf{\beta ,}\,\,\mathbf{\gamma )}$to a given plane $\mathbf{ax+by+cz+d=0}$.
##### Three Dimensional Geometry
Transformation of Axes
Equation of Plane Passing Through the Given Point
##### Three Dimensional Geometry
Area of Some Geometrical Figures
##### Rectangular Cartesian Coordinates
Definition of Plane and Its Equations
##### Three Dimensional Geometry
Shortest Distance Between two Straight Lines
##### Three Dimensional Geometry
Foot of Perpendicular from a Point to The Line
##### Three Dimensional Geometry
Intersection of Two Lines
##### Three Dimensional Geometry
Changing Unsymmetrical form to Symmetrical Form
##### Three Dimensional Geometry
Some Points of a Triangle
##### Rectangular Cartesian Coordinates
Straight Line in Space
##### Three Dimensional Geometry
Angle Between Two Lines
Projection
##### Three Dimensional Geometry
Direction Cosines and Direction Ratios
##### Three Dimensional Geometry
Triangle and Tetrahedron
Section Formulae
Section Formula
Distance Formula
##### Three Dimensional Geometry
Properties of Some Geometrical Figures
##### Rectangular Cartesian Coordinates
Co-ordinates of a Point in Space
Distance Formula
##### Rectangular Cartesian Coordinates
Polar Co-ordinates
##### Rectangular Cartesian Coordinates
Cartesian Co-ordinates of a Point
Introduction
##### Rectangular Cartesian Coordinates
Binomial Distribution
##### Probability
Total Probability and Baye's Rule
##### Probability
Conditional Probability
##### Probability
Odds in Favour and Odds Against an Event
##### Probability
Problems Based on Combination and Permutation
##### Probability
Classical Definition of Probability
##### Probability
Definitions of Various Terms
##### Probability
Distance Between The Pair of Parallel Straight Lines
##### Pair of Straight Lines
Removal of the term $\mathbf{xy}$ from $\mathbf{f(X,}\,\mathbf{Y)=a}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+2hxy+b}{{\mathbf{y}}^{\mathbf{2}}}$ Without Changing the Origin
##### Pair of Straight Lines
Removal of First Degree Terms
##### Pair of Straight Lines
Equation of the Lines Joining the Origin to the Points of Intersection of a Given Line and a Given Curve
##### Pair of Straight Lines
Bisectors of the Angles Between the Lines
##### Pair of Straight Lines
Angle Between the Pair of Lines
##### Pair of Straight Lines
Point of Intersection of Lines Represented by $\mathbf{a}{{\mathbf{x}}^{\mathbf{2}}}\mathbf{+ 2hxy+b}{{\mathbf{y}}^{\mathbf{2}}}\mathbf{+ 2gx+ 2fy+c= 0}$
##### Pair of Straight Lines
Equation of Pair of Straight Lines
Logic Gates
##### Mathematical Logic and Boolean Algebra
Switching Circuits
##### Mathematical Logic and Boolean Algebra
Boolean Functions
Introduction
Duality
##### Mathematical Logic and Boolean Algebra
Algebra of Statements
##### Mathematical Logic and Boolean Algebra
Negation of Compound Statements
##### Mathematical Logic and Boolean Algebra
Logical Equivalence
##### Mathematical Logic and Boolean Algebra
Basic Logical Connectives or Logical Operators
Truth Tables
##### Mathematical Logic and Boolean Algebra
Types of Statements
##### Mathematical Logic and Boolean Algebra
Use of Venn Diagrams in Checking Truth and Falsity of Statements
##### Mathematical Logic and Boolean Algebra
Statements or Propositions
Introduction
##### Linear Programming
To Find The Vertices of Simple Feasible Region Without Drawing a Graph
##### Linear Programming
Graphical Solution of Two Variable Linear Programming Problem
##### Linear Programming
Mathematical Formulation of a Linear Programming Problem
##### Linear Programming
Terms of Linear Programming
##### Linear Programming
Linear Inequations
##### Linear Programming
Inverse Trigonometric Ratios of Multiple Angles
##### Inverse Trigonometric Functions
Formulae for Sum, Difference of Inverse Trigonometric Function
##### Inverse Trigonometric Functions
Properties of inverse trigonometric functions
##### Inverse Trigonometric Functions
Domain and Range of Inverse Trigonometric Functions
##### Inverse Trigonometric Functions
Graphs of Inverse Trigonometric Functions
##### Inverse Trigonometric Functions
Integration of Hyperbolic Functions
##### Indefinite Integrals
Integration of Trigonometric Functions
##### Indefinite Integrals
Integration of Rational Functions by Using Partial Fractions
##### Indefinite Integrals
Integrals of the form $\int{\frac{a sinx+b cosx}{c sinx+d cosx} }$and $\int{\frac{a\,sinx+bcos\,x+q}{c\,sinx+d\,cosx+r}}$
##### Indefinite Integrals
Integrals of the form $\int_{{}}^{{}}{\frac{dx}{a+b\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}x},\,\int_{{}}^{{}}{\frac{dx}{a+b\,\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}x},}}$$\int_{{}}^{{}}{\frac{dx}{a\,\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}x+b\,\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}x}\mathbf{,}}$$\int_{{}}^{{}}{\frac{dx}{{{\mathbf{(}a\,\sin x+b\,\mathbf{cos}\,x\mathbf{)}}^{\mathbf{2}}}}\mathbf{,}}\int_{{}}^{{}}{\frac{dx}{a\,+b\mathbf{si}{{\mathbf{n}}^{\mathbf{2}}}x+c\,\mathbf{co}{{\mathbf{s}}^{\mathbf{2}}}x}}$
##### Indefinite Integrals
Integrals of the Form $\int{\frac{dx}{a+bcosx+csinx}}\,,\,\,\int{\frac{dx}{asinx+bcosx}}$
##### Indefinite Integrals
Integrals of the Form $\int{\frac{dx}{a+b\,cos\,x}}$ and $\int{\frac{dx}{a+b\,sin\,x}}$
##### Indefinite Integrals
Evaluation of the Various Forms of Integrals by Use of Standard Results
##### Indefinite Integrals
Position of Centre of Gravity in Some Special Cases
##### Statistics
Integration by Parts
##### Indefinite Integrals
Centre of Gravity of a Compound Body and Remainder
##### Statistics
Centre of Gravity
##### Statistics
Limiting Equilibrium on an Inclined Plane
##### Statistics
Coefficient of Friction
Friction
##### Statistics
Equilibrium of Coplanar Forces
##### Statistics
Triangle Theorem of Couples
##### Statistics
Integration By Substitution
Couples
Moment
Parallel Forces
Lami's Theorem
##### Statistics
Polygon Law of Forces
##### Statistics
Triangle Law of Forces
##### Statistics
Parallelogram Law of Forces
##### Statistics
Fundamental Integration Formulae
Introduction
Definition
##### Indefinite Integrals
Image of a Point in Different Cases
##### Straight Line
Reflection on The Surface
Concurrent Lines
##### Straight Line
Position of Two Points with Respect to a Line
##### Straight Line
Position of a Point with Respect to a Line
##### Straight Line
Length of Perpendicular
##### Straight Line
Equations of the Bisectors of The Angles Between two Straight Lines
##### Straight Line
Equation of Straight Line Through a Given Point Making a Given Angle With a Given Line
##### Straight Line
Angle Between two Non-parallel Lines
##### Straight Line
General Equation of Lines Through the Intersection of Two Given Lines
##### Straight Line
Point of Intersection of Two Lines
##### Straight Line
General Equation of a Straight Line and its Transformation in Standard Forms
##### Straight Line
Equation of Parallel and Perpendicular Lines to a Given Line
##### Straight Line
Equations of Straight Line in Different Forms
Definition
##### Straight Line
Miscellaneous Differential Equation
##### Differential Equations
Application of Differential Equation
##### Differential Equations
Linear Differential Equation
##### Differential Equations
Solution by Inspection
##### Differential Equations
Exact Differential Equation
##### Differential Equations
Homogeneous Differential Equation
##### Differential Equations
Variable Separable Type Differential Equation
##### Differential Equations
Formation of Differential Equation
Definition
Symmetrical Area
##### Definite Integrals
Application of Vectors in 3-dimensional Geometry
##### Vector Algebra
Rotation of a Vector About an Axis
##### Vector Algebra
Vector Product of Four Vectors
##### Vector Algebra
Area of Bounded Regions
##### Definite Integrals
Scalar Product of Four Vectors
##### Vector Algebra
Vector Triple Product
##### Vector Algebra
Integration of Piecewise Continuous Functions
##### Definite Integrals
Scalar Triple Product
##### Vector Algebra
Volumes and Surfaces of Solids of Revolution
##### Definite Integrals
Some Important Results of Definite Integral
##### Definite Integrals
Area Between Two Curves
##### Definite Integrals
Vector or Cross Product
##### Vector Algebra
Scalar or Dot Product
##### Vector Algebra
Linear Independence and Dependence of Vectors
##### Vector Algebra
Linear Combination of Vectors
Position Vector
Leibnitz's Rule
##### Definite Integrals
Properties of Vectors
Walli's Formula
Types of Vector
##### Vector Algebra
Reduction Formulae for Definite Integration
Gamma Function
##### Definite Integrals
Summation of Series by Integration
##### Definite Integrals
Representation of Vectors
Introduction
##### Vector Algebra
Properties of Definite Integral
##### Definite Integrals
Evaluation of Definite Integral by Substitution
Definition
##### Definite Integrals
Rectangular or Equilateral Hyperbola
##### Conic Section
Asymptotes of a Hyperbola
##### Conic Section
Subtangent and Subnormal of the Hyperbola
##### Conic Section
Diameter of The Hyperbola
Pole and Polar
##### Conic Section
Equation of The Chord Joining Two Points on The Hyperbola
##### Conic Section
Equation of the Chord of the Hyperbola Whose mid point $\mathbf{(}{{\mathbf{x}}_{\mathbf{1}}}\mathbf{,}\,\,{{\mathbf{y}}_{\mathbf{1}}}\mathbf{)}$ is given
##### Conic Section
Equation of Chord of Contact of Tangents Drawn from a Point to a Hyperbola
##### Conic Section
Equations of Normal in Different Forms
##### Conic Section
Equation of Pair of Tangents
##### Conic Section
Equations of Tangent in Different Forms
##### Conic Section
Intersection of a Line and a Hyperbola
##### Conic Section
Position of a Point With Respect to a Hyperbola
##### Conic Section
Parametric Equations of Hyperbola
##### Conic Section
Auxiliary Circle of Hyperbola
##### Conic Section
Special form of Hyperbola
##### Conic Section
Conjugate Hyperbola
##### Conic Section
Standard Equation of the Hyperbola
Definition
##### Conic Section
Subtangent and Subnormal
##### Conic Section
Diameter of The Ellipse
Pole and Polar
##### Conic Section
Equation of The Chord Joining Two Points on an Ellipse
##### Conic Section
Equation of Chord With Mid Point $\mathbf{(}{{\mathbf{x}}_{\mathbf{1}}}\mathbf{,}{{\mathbf{y}}_{\mathbf{1}}}\mathbf{)}$
Chord of Contact
Auxiliary Circle
##### Conic Section
Equations of Normal in Different Forms
##### Conic Section
Equation of Pair of Tangents $\mathbf{S}{{\mathbf{S}}_{\mathbf{1}}}\mathbf{=}{{\mathbf{T}}^{\mathbf{2}}}$
##### Conic Section
Equations of Tangent in Different Forms
##### Conic Section
Intersection of a Line and an Ellipse
##### Conic Section
Position of a Point with Respect to an Ellipse
##### Conic Section
Special Forms of an Ellipse
##### Conic Section
Parametric Form of The Ellipse
##### Conic Section
Standard Equation of the Ellipse
Definition
Pole and Polar
##### Conic Section
Length of Tangent, Subtangent, Normal and Subnormal to ${{\mathbf{y}}^{\mathbf{2}}}\mathbf{= 4ax}\,\,\mathbf{at }\,\mathbf{(a}{{\mathbf{t}}^{\mathbf{2}}}\mathbf{,2at)}$
##### Conic Section
Length of Tangent, Subtangent, Normal, Subnormal
##### Conic Section
Diameter of a Parabola
##### Conic Section
Equation of the Chord Joining any Two Points on the Parabola
##### Conic Section
Equation of the Chord of the Parabola Which is Bisected at a Given Point
##### Conic Section
Equation of The Chord of Contact of Tangents to a Parabola
Co-normal Points
##### Conic Section
Relation Between $\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}$ and $\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}$ if Normal at $\mathbf{'}{{\mathbf{t}}_{\mathbf{1}}}\mathbf{'}$ Meets the Parabola Again at $\mathbf{'}{{\mathbf{t}}_{\mathbf{2}}}\mathbf{'}$
##### Conic Section
Point of Intersection of Normals at Any Two Points on The Parabola
##### Conic Section
Equations of Normal in Different Forms
##### Conic Section
Equation of Pair of Tangents From a Point to a Parabola
##### Conic Section
Point of Intersection of Tangents at Any Two Points on The Parabola
##### Conic Section
Equations of Tangent in Different Forms
##### Conic Section
Position of a Point and a Line With Respect to a Parabola
##### Conic Section
Parametric Equations of a Parabola
##### Conic Section
Special form of Parabola ${{\mathbf{(yk)}}^{\mathbf{2~}}}\mathbf{= 4a}\,\,\mathbf{(xh)= a}$
##### Conic Section
Standard Equation of The Parabola
Definition
##### Conic Section
Recognisation of Conics
##### Conic Section
General Equation of a Conic Section When Its Focus, Directrix and Eccentricity are Given
##### Conic Section
Definitions of Various Important Terms
Definition
##### Conic Section
Image of The Circle by The Line Mirror
Limiting Points
##### Circle and System of Circles
Co-axial System of Circles
##### Circle and System of Circles
Family of Circles
##### Circle and System of Circles
Angle of Intersection of Two Circles
##### Circle and System of Circles
Common Tangents to Two Circles
Pole and Polar
##### Circle and System of Circles
Diameter of a Circle
##### Circle and System of Circles
Common Chord of Two Circles
##### Circle and System of Circles
Chord of Contact of Tangents
##### Circle and System of Circles
Normal to a Circle at a Given Point
##### Circle and System of Circles
Power of Point with Respect to a Circle
Director Circle
Pair of Tangents
##### Circle and System of Circles
Length of Tangent
##### Circle and System of Circles
Tangent to a Circle at a Given Point
##### Circle and System of Circles
Intersection of a Line and a Circle
##### Circle and System of Circles
Position of a Point With Respect to a Circle
##### Circle and System of Circles
Intercepts on the Axes
##### Circle and System of Circles
Equation of a Circle in Some Special Cases
##### Circle and System of Circles
Standard Forms of Equation of a Circle
Definition
##### Circle and System of Circles
Divisibility Problems
##### Binomial Theorem and Mathematical Induction
Second Principle of Mathematical Induction
##### Binomial Theorem and Mathematical Induction
First Principle of Mathematical Induction
##### Binomial Theorem and Mathematical Induction
Some Important Points
##### Binomial Theorem and Mathematical Induction
Three / Four Consecutive Terms or Coefficients
##### Binomial Theorem and Mathematical Induction
Binomial Theorem for any Index
##### Binomial Theorem and Mathematical Induction
Multinomial Theorem (for Positive Integral Index)
##### Binomial Theorem and Mathematical Induction
An Important Theorem
##### Binomial Theorem and Mathematical Induction
Use of Differentiation and Integration in Binomial Theorem
##### Binomial Theorem and Mathematical Induction
Properties of Binomial Coefficients
##### Binomial Theorem and Mathematical Induction
Greatest Term and Greatest Coefficient
##### Binomial Theorem and Mathematical Induction
To Determine a Particular Term in the Expansion
Middle Term
##### Binomial Theorem and Mathematical Induction
Number of Terms In The Expansion of ${{(a+b+c)}^{n}}$ and ${{(a+b+c+d)}^{n}}$
##### Binomial Theorem and Mathematical Induction
Independent Term or Constant Term
General Term
##### Binomial Theorem and Mathematical Induction
Some Important Expansions
##### Binomial Theorem and Mathematical Induction
Binomial Theorem for Positive Integral Index
##### Binomial Theorem and Mathematical Induction
Binomial Expression
##### Binomial Theorem and Mathematical Induction
Number of Divisors
##### Permutations and Combinations
Multinomial Theorem
##### Permutations and Combinations
Some Important Results For Geometrical Problems
Derangement
##### Permutations and Combinations
Division Into Groups
##### Permutations and Combinations
Conditional Combinations
##### Permutations and Combinations
Number of Combinations With Repetition and All Possible Selections
##### Permutations and Combinations
Number of Combinations Without Repetition
Definition
##### Permutations and Combinations
Circular Permutations
##### Permutations and Combinations
Conditional Permutations
##### Permutations and Combinations
Number of permutations with repetition
##### Permutations and Combinations
Number of Permutations Without Repetition
##### Permutations and Combinations
Definition of Permutation
Introduction
##### Permutations and Combinations
Some Important Result
Rational Algebraic Inequations
Descarte's Rule of Signs
Position of Roots
Wavy Curve Method
Condition for Common Roots
Higher Degree Equations
Relations Between Roots and Coefficients
Nature of Roots
Polynomial
Composition of Relations
##### Set Theory and Relations
Equivalence Classes of An Equivalence Relation
##### Set Theory and Relations
Types of Relations
Inverse Relation
Definition
##### Set Theory and Relations
Cartesian Product of Sets
##### Set Theory and Relations
Laws of Algebra of Sets
##### Set Theory and Relations
Some important results on number of elements in sets
##### Set Theory and Relations
Operations on sets
##### Set Theory and Relations
Venn-Euler Diagrams
Types of Sets
Introduction

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