Maths
- A Solved Example
- A Very Important Example Of Pigeonhole Principle
- Addition Formula Of Tan Inverse Function
- Addition Of A U B And A B Using Venn Diagram Intersection Of Two Finite Sets
- Addition Principle
- Addition Rule Of Probability Using Axiomatic Definition
- Adjoint Of A Matrix
- Adjoint Of Matrix Computing Inverse Of Matrix
- Advanced Problems In Logarithm
- Algebra Of Vectors
- Allocation Problem Example
- Alternative Formula For Evaluation Of Variance
- Alternative Way Of Describing General Equation Of A Circle
- Am And Gm For Finite Number Of Real Numbers
- Am And Gm Of Two Positive Numbers
- An Example Illustrating A Complicated Problem In A Simpler Way Using Property
- An Important Result
- Analytic Description Of Vectors
- Analytic Expression Of Cross Product
- Analytical Problem On Basic Matrix And Determinant
- Analytical Problem On Symmetric And Skew Symmetric Matrix
- Analytical Problems On Matrices
- Angle Between 2 Lines
- Angle between line and a plane
- Angle Between Tangents Meeting At Same Point
- Angle Between Two Lines
- Angle In Terms Of Cartesian Form
- Angle In Terms Of Vector Form
- Angles Of A Pedal Triangle
- Another Method For Solving For Coefficients In Expressions With Example
- Another Variant Of Mi Some Examples
- Antiderivative Method To Finding The Definite Integral Introduction And Examples With The Fundamental Theorem Of Calculus
- Ap Problem 1
- Ap Problem 2
- Application Of Binomial Expansion
- Application Of Definite Integral In Area Of Simple Curve
- Application Of Definite Integration With Examples Motivating The Definite Integral
- Application Of Dot Product
- Application Of Formula
- Application Of Ivt
- Application Of Rolle Theorem Mvt
- Application Of The Tangent Line To Approximation
- Application Of Vectors
- Applications Of Rate Of Change In Economics
- Applications Of Vtp
- Approach To Solve Problems By Pigeonhole Principle
- Arc Length
- Area Between Two Different Curves Example
- Area Bounded Between Circle X 2 Y 2 4 And X 2 2 Y 2 4
- Area Bounded Between Two Curves
- Area Bounded Between Y 2 2X And Y 4X 2
- Area Function
- Area Of Circle And Ellipse Using Integration
- Area Of The Pedal Triangle
- Area Of Triangle
- Area Of Triangle Formed By Tangents Meeting At Same Point With Their Chord Of Contact
- Area Of Triangle Hero S Formula
- Arithmetic Mean
- Arithmetic Progression Properties
- Assignment Prove Sandwich Theorem Using Epsilon Delta Definition
- Associativity Property
- Asymmetric Form Of A Line
- Axiomatic Defination Of Probability By A N Kolmogorov
- Bar Graph And Its Applications
- Basic Definition Of Circle And Its Components
- Basic Introduction
- Basic Introduction On Integrals
- Basic Properties Of Limits
- Behaviour Of Function On Complement
- Bernoulli Differential Equation It S Reduction To A Liner D E
- Bernoulli Trials And Binomial Distribution
- Bijection Principle
- Binomial Expansion
- Binomial Expansion For Fractional Poower
- Binomial Expansion For Ve Index Power
- Breaking Expressions Into The Sum Of Integer And Fraction With Example
- Brief About Next Lecture
- Brief Introduction
- Calculate Intercept Made By Circle On Axes
- Calculating Sine And Cosine Of Some Common Angles
- Calculating Tan 2 X And Introducing Cot X
- Calculating Tan X Tan X±
- Calculating The General Solutions In Some Questions
- Calculating The Value Of An Unknown Variable In An Equation
- Calculation Of Distance Of Orthocentre From Foot Of Perpendiculars
- Calculation Of Distance Of Orthocentre From Vertices Of A Triangle
- Cartesian Normal Form And Example
- Cartesian Product Of Real Numbers Examples
- Cartesian Product Of Set With Itself Example
- Cartesian Product Of Three Sets With An Example
- Cartesian Products Of Sets Introduction
- Case 1 With Repetition
- Case 2 Objects Are Alike
- Case I When All 3 Sides Angles Are Known
- Case Ii When 2 Angles And A Side Are Known
- Case Iv When 2 Sides And An Opposite Angle Is Known
- Cases Iii When 2 Sides And Included Angle Is Known
- Characterization Of One One Functions In Terms Of Composition And Onto Function
- Characterization Of Onto Functions In Terms Of Composition And One One Function
- Characterizing And Proving Statements About One One Function Intersection And Disjoint Sets Are Equivalent
- Choice Of First And Second Function
- Choices For 1St And 2Nd Fn To Apply Integration By Part
- Circle Equation Passing Through 3 Non Collinear Points
- Circle Equation Passing Through 3 Non Collinear Points General Form Method
- Circles
- Circles Connected With A Triangle
- Closed Form Expression
- Coaxial Circle Physical Interpretation
- Coefficient Of Variation Example
- Coefficient Of Variation Intro
- Collection Of Data
- Combination Definition
- Combining Logarithm And Trigonometry
- Common Chord Of 2 Intersecting Circles Exercise 5 Explored In Depth
- Common Tangents Between 2 Externally Touching Circles
- Common Tangents Of 2 Internally Touching Circles
- Common Tangents Of 2 Intersecting Circles
- Common Tangents When One Circle Is Inside The Second Circle
- Comparing Equal Matrices Matrix Multiplication Problem 7
- Comparing Equal Matrices Matrix Multiplication Problem 8
- Comparing Equal Matrices Matrix Multiplication Problem 9
- Comparing The Range Of Constant Logarithm Using Power Law
- Comparison Between Log X And Ln X
- Comparison Of Differentiation And Integration
- Comparison Of Infinities An Extension On The Graph Discussion
- Composition Of Trig Functions And Their Inverse
- Composition Of Two Functions With Examples
- Compound Statements
- Concept Based On Area Enclosed By The Curves
- Concept Based On Definite Integrals As Limits Of Sums
- Concept Of Derangement Of An N Set N Letter And N Envelope
- Concept Of One Sided Limit
- Concept Of Pie Complement Version
- Conceptualization And Definations Of The Events With Examples
- Conclusion
- Concurrence Of Altitudes Of A Triangle
- Condition For Collinearity Of Three Points
- Condition For Existence Of Limit
- Conditional Probability
- Conditional Probability Of Independent Events
- Conditions For No Of Intersection Points Of Line Y Mx C And Parabola Yu00B2 4Ax
- Conjugate Of Complex Number
- Conjunction
- Conjunction And Disjunction
- Connectors
- Continuation Of Comparison Of Infinities
- Continue Binomial Expansion For Fractional Power
- Continuity At A Point
- Convergence Divergence
- Convergent And Divergent Sequence Informal Definition
- Conversion Of Inverse Of Cos To Inverse Tan
- Conversion Of Inverse Of Cot To Inverse Of Tan Vice Versa
- Conversion Of Inverse Of Tan To Inverse Of Cos
- Coplanar Lines
- Coplanar Lines Sums
- Corner Point Method
- Cosine Law
- Cramer S Rule
- Credits
- Cube Roots Of Unity
- Cubic Equations
- Cumulative Frequency Distribution And Application
- De Moivre's formula
- Dealing With Infinite Sequence And Series With Examples
- Defination Of Probability Of An Event With Examples
- Definations Of Disjoint Sets Mutually Exclusive Events With Examples
- Define Argument And Principle Argument
- Define Complex Number And Equality Relation
- Defining Definite Integrals
- Defining Independent Variables And Illustrating Ot Through Example
- Defining Series
- Defining Tan X
- Definite Integral
- Definite Integral As A Limit Of Finite Sums Introduction
- Definite Integral Lecture 5 By Dr Amit K Verma
- Definite Integrals
- Definition And Examples Of Countable Infinite Set
- Definition And Examples Of Infinite Series
- Definition And Formulas Related To Mean
- Definition Of Circle Its Radius And Diameter
- Definition Of Determinants Minor And Cofactor
- Definition Of Domain Codomain And Range
- Definition Of Median And Centroid
- Definition Of Ordered Pair
- Definition Of Relations With Examples
- Definition Of Scalar Product Of Two Vectors
- Definition Of Series
- Definition Of Singular Matrix
- Definition Of Symmetric Relation With An Example
- Definition Of Vector Product
- Definitions Of Ap Gp Hp
- Demonstration Of Combinations A B 7
- Derivation Of Equation Of Chord If It S Midpoint Is Given
- Derivation Of Equation Of Transverse Common Tangents Of 2 Non Touching And Non Intersecting Circles
- Derivation Of Number Of Derangements Of An N Set
- Derivation Of Sum Upto Infinite Terms Of Geometric Progression
- Derivation Of The Equation Of Tangent Line Using Calculus
- Derivative Of Function In Parametric Forms
- Derivative Of Ln X
- Derivatives Of Composite Functions Chain Rule Tt Theorem And Its Proof
- Derivatives Of Implicit Functions
- Derivatives Of Inverse Functions
- Deriving Formulas For 2 Cos X Cos Y Cos 2X Cos X 2 Cos X± 2 Sin X Y Sin X Y Sin 2X Etc
- Deriving Formulas For Cos 3X Sin3X
- Deriving Formulas For Cos A ± Cos B Sin A ± Sin B
- Deriving Formulas For Cos Xa±Yb
- Deriving The Formula For Cot 2X Cot 3X
- Deriving The Formula For Cot X Y Cot X Y
- Deriving The Formula For Tan 2X Tan 3X
- Deriving The Formula For Tan X Y Tan X Y
- Description Of Principle Of Inclusion And Exclusion
- Determinant Of Adjoint Matrix
- Determinant Of Matrix
- Determinants And Area Of Triangles
- Determinants Notations And Outline
- Diet Problem Example
- Difference Between Set Sequence
- Difference Of Two Inverses Of Tangent
- Different Version Of Above Formulas
- Differentiability At A Point
- Differential Equation Of The Orthogonal Trajectories
- Direct Common Tangent
- Direction Cosines
- Direction Cosines And Direction Ratios
- Director Circle
- Discussing Unboundedness Of Tan X
- Discussion Towards A Uniqueness Theorem
- Disjunction
- Distance Between Parallel Planes
- Distance Between Skew Lines
- Distance Between Two Parallel Lines
- Distance Between Two Points
- Distance Of A Point From A Line
- Distances And Examples
- Distributive Law
- Division Demoiver
- Domain Range And Graph Of Cosec Inverse
- Domain Range And Graph Of Cosine Inverse
- Domain Range And Graph Of Cot Inverse
- Domain Range And Graph Of Sec Inverse
- Domain Range And Graph Of Sine Inverse
- Domain Range And Graph Of Tan Inverse
- Drawbacks Of Classical Theory Of Probability
- Drawbacks of Empirical Definition of Probability
- Elementary Row Operation And Row Echelon Matrix
- Empty Set Equal Set Finite Set
- Eos General Form
- Eos In Point Slope Form
- Eos Intercept Form
- Eos Perpendicular Or Normal Form
- Eos Slope Intercept Form
- Eos Two Point Form
- Epsilon Delta Definition Of Limit
- Equalities
- Equation Inequation And Type Of Inequation
- Equation Of A Circle Passing Through Three Collinear Points
- Equation Of A Circle Passing Through Three Non Collinear Points
- Equation Of A Straight Line
- Equation Of Chord Of Contact
- Equation Of Chord Of Contact Of Tangents From An External Point X1 Y1 To An Ellipse
- Equation Of Circle Center Radius Form
- Equation Of Circle Circumscribing The Triangle Triangle Formed By Tangents Meeting At Same Point With Their Chord Of Contact
- Equation Of Circle General Form
- Equation Of Circle On A Complex Plane
- Equation Of Circle Parametric Form
- Equation Of Family Of Circles Touches A Fix Point On A Straight Line
- Equation Of Family Of Circles Touches A Fix Point On A Straight Line When It Is Parallel To X Axis
- Equation Of Family Of Circles Touches A Fix Point On A Straight Line When It Is Parallel To Y Axis
- Equation Of Line
- Equation Of Normal To A Circle At A Given Point On The Circle
- Equation Of Plane
- Equation Of Straight Line On A Complex Plane
- Equation Of Tangent At X1 Y1 On The Hyperbola X² A² — Y² B² 1
- Equation Of Tangent At X1 Y1 On The Hyperbola Xu00B2 Au00B2 U2014 Yu00B2 Bu00B2 1
- Equation Of Tangent Normal Of Parabola In Parametric Form
- Equation Of The Chord Joining P And Q Point On Parabola In Parametric Form
- Equation Of The Normal At Point X1 Y1 On The Parabola Yu00B2 4Ax
- Equation Of The Normal To The Ellipse Xu00B2 Au00B2 Yu00B2 Bu00B2 1 At Point X1 Y1
- Equation Of The Plane Through The Intersection Of Two Planes And Example
- Equation Of The Tangent At The Point X1 Y1 To The Ellipse Xu00B2 Au00B2 Yu00B2 Bu00B2 1
- Equation Of The Tangent Line To The Parabola Yu00B2 4Ax At A Point X1 Y1
- Equation Of The Tangent To A Circle At A Given Point
- Equation Of The Tangent Using Calculus
- Equation Of Transverse Common Tangent Of 2 Externally Touching Circles
- Equations Of Tangent And Normals
- Equivalence
- Equivalence Relation
- Escribed Circles Of A Triangle
- Euler's Constant e
- Euler's Number e
- Evaluation Of Integral Method Of Substitution
- Evaluation Of Inverse Of A Square Matrix Using Determinants And Elementary Transformations
- Event
- Events
- Ex Central Triangle Of A Triangle
- Exa 1 System Of Equations
- Exa 2 Triangle Area Using Determinants
- Exa 3 1×1 Matrix
- Exa 4 2×2 Matrix
- Exa 5 3×3 Matrix
- Example
- Example 01
- Example 01 Tangent From A Point
- Example 02
- Example 02 Tangent From A Point
- Example 03
- Example 03 Power Of A Point Wrt A Circle
- Example 04
- Example 05
- Example 06
- Example 07
- Example 1
- Example 1 Based On Standard Limit
- Example 1 Bernoulli Differential
- Example 1 Linear Differential Equation
- Example 1 On Baye Theorem
- Example 1 On Binomial Distribution Theorem
- Example 1 On Center Radius Form
- Example 1 On Pigeonhole Principle
- Example 1 On Solving For The Integer And Fraction Part Of Expression
- Example 1 To Illustrate The Concept Of Power Series
- Example 10
- Example 11
- Example 12
- Example 2
- Example 2 And Proof Of Second Important Formula Of Limit
- Example 2 Bernoulli Differential
- Example 2 Linear Differential Equation
- Example 2 Of Baye Theorem Involving Biased Coin
- Example 2 On Binomial Distribution Theorem
- Example 2 On Center Radius Form
- Example 2 On Pigeonhole Principle
- Example 2 On Power Series
- Example 2 On Solving For The Integer And Fraction Part Of Expression
- Example 3
- Example 3 Bernoulli Differential
- Example 3 Linear Differential Equation
- Example 3 Ncert Page 511
- Example 3 On Baye Theorem
- Example 3 On Pigeonhole Principle
- Example 3 On Power Series
- Example 4
- Example 4 9N Baye Theorem
- Example 4 Involving Substitution Of Variables In Questions Based On Power Series
- Example 4 On Pigeonhole Principle
- Example 5
- Example 5 On Baye Theorem
- Example 5 On Pigeonhole Principle Based On Chessboard
- Example 6
- Example 6 On Pigeonhole Principle
- Example 7
- Example 7 On Pigeonhole Principle Involving Trigonometry
- Example 8
- Example 9
- Example 9 Ncert Page 521
- Example A 2 12Ab 4B 2 0 Prove Log A 2B 1 2 Loga Logb 2Log2
- Example A 2 B 3 C 5 D 6 Show That Logd Abc 31 5
- Example Along With An Alternative Solution
- Example Application Of Change Of Base Property
- Example Based On Argument
- Example Evaluation Of Logarithms
- Example Finding Continuity And Differentiability Of A Function
- Example For Illustration Of Property 1 To Property 8
- Example In Section 12 1 Ncert
- Example Log X Y 6 1 2 Logx Logy
- Example Of Formula
- Example Of Infinite Sample Spaces
- Example Of Inte By Part Method
- Example Of Integral
- Example Of Orthogonal System Of Curves From Theory Of Complex Variables
- Example Of Uncertainty
- Example On Area Under Graph
- Example On Coefficients In Product Of Series
- Example On Integral Inequality
- Example On Intermediate Value Theorem
- Example On Mean And Variance
- Example On Ncert Remark
- Example On Properties
- Example On Properties Of Definite Integration
- Example On Series Of Product Of Binomial Coefficients
- Example On Solving Multiple Binomial Series Simultaneously
- Example On Solving Series Involving Binomial Coefficients
- Example Power Of A Point Wrt A Circle
- Example Problem 1
- Example Problem 1 Jee 2014
- Example Problem 1 On Inradius And Circumrradius
- Example Problem 10
- Example Problem 11
- Example Problem 16
- Example Problem 17
- Example Problem 18
- Example Problem 19
- Example Problem 2
- Example Problem 2 Jee 2014
- Example Problem 2 On Exradii
- Example Problem 20
- Example Problem 21
- Example Problem 22
- Example Problem 23
- Example Problem 3
- Example Problem 3 On Incircle
- Example Problem 4
- Example Problem 4 Jee 2014
- Example Problem 4 On Inradius And Properties Of Circle
- Example Problem 5
- Example Problem 5 On Inradius And Circumrradius
- Example Problem 6
- Example Problem 6 Jee 2015
- Example Problem 7
- Example Problem 8
- Example Problem 9
- Example Problem On Properties Of Logarithms
- Example Problem On Simplification Of Logarithms
- Example Properties Of Logarithms
- Example Related To Case Iv
- Example Related To Special Function
- Example Show That 2 3 Log10 5 3 4
- Example Simplification Of Logarithms
- Example Simplify Log6 7 Log2 7 1 Log2 3
- Example Solution Of Over Determined System Of Linear
- Example Solution Of Regular System Of Linear Equations
- Example Solve 2 Log10 X 1 Log10 X 11 10
- Example Solve For X Log4 X 1 Log2 X 3
- Example Solve For X Loga X 3 Loga X 3 Loga16
- Example Where Feasible Region Is A Line
- Example Where Feasible Region Is Unbounded
- Example With Uncountable Sample Space
- Example1
- Example1 Tangent From A Point
- Example2
- Example2 Tangent From A Point
- Example3
- Example4
- Example5
- Examples
- Examples 3 4 5
- Examples And Properties Of Probability
- Examples Applicability Of Mi
- Examples Application Of Logarithms
- Examples Basic Problems On Logarithms
- Examples Distribution Of Distinct Objects Into Distinct Boxes
- Examples Distribution Of Identical Objects Into Distinct Boxes
- Examples For Application Purpose
- Examples For Encrypting And Decrypting Sequence
- Examples For Finding Number Of Ways Of Arranging
- Examples For Sample Space
- Examples How To Evaluate Logarithms
- Examples Involving Determinats And Inverse Of Matrices
- Examples Of 3D Geometry
- Examples Of A Specific Type Of Problems
- Examples Of Another Kind
- Examples Of Another Specific Type Of Problem
- Examples Of Chain Rule
- Examples Of Derivatives Of Inverse Functions
- Examples Of Derivatives Of Inverse Trigonometric Functions
- Examples Of Different Forms Of Partial Fraction
- Examples Of Grouped Frequency Distribution
- Examples Of Homogeneous Domain Positively Homogeneous Domain
- Examples Of Integration By Parts
- Examples Of Number Of Ways Of Arranging
- Examples Of Previous Concepts
- Examples Of Product Rule
- Examples Of Quotient Rule
- Examples Of Random Experiment
- Examples Of Substitution Of Inverse Trigonometric Function
- Examples Of Ungrouped Frequency Distribution
- Examples On Addition Principle
- Examples On Area Of Triangles
- Examples On Contrapositive
- Examples On Determinants
- Examples On Divisibility Of Mi
- Examples On Finding Equation Of Planes
- Examples On Inequality Of Mi
- Examples On Itf
- Examples On Multiplication Principle
- Examples On Parametric Differentiation
- Examples On Set Theory Of Mi
- Examples On The Concept Of Relations
- Examples On Variable Separable Method
- Examples Solution Of Regular System Of Linear Equations
- Examples To Explain Domain Codomain And Range
- Excercise Problem 1
- Excercise Problem 2 Grouped Data
- Excercise Problem 3 Ungrouped Data
- Excercise Problem 4 Assumed Mean Method
- Exercises
- Exercises Based On The Gudermannian Solutions
- Expansion Of Determinant Is Not Restricted
- Expectation Of Binomial Distribution
- Experiment
- Exponential Functions Its Derivatives
- Expression Of Angles Made By A Median With The 3 Sides
- Extension Of Example 3
- Factorial Notation
- Family Of Circles And Differential Eqns
- Fertilizer Problem Example
- Find The Locus Of The Point Of Intersection Of Orthogonal Tangents To The Hyperbola X² A² — Y² B² 1
- Find The Locus Of The Point Of Intersection Of Orthogonal Tangents To The Hyperbola Xu00B2 Au00B2 U2014 Yu00B2 Bu00B2 1
- Finding Distance Between Skew Lines In Vector And Symmetric Form
- Finding Roots Relation In Higher Degree Polynomials
- Finding The General Solution Of A Acos@ Bsin@ C
- Finding The General Solution Of Cos X 1 2
- Finding Unconditional Probability For Given Event
- Finite And Infinite Sample Space
- Finite And Infinite Sequence
- First Derivative Test
- First Fundamental Theorem Of Calculus
- First Problem Based On Common Tangents
- Formal Definition Of Mi
- Formal Definition Of Sequence Describing A Seq
- Formation Of Quadratic Equation
- Formula Of Binomial Distribution Theorem
- Formula Of Mean And Variance
- Frequency Polygon
- Function Of Matrix Problem 4
- Functions Intro
- Fundamental Principles Of Counting
- General Addition Rule By Induction
- General Equation Of A Circle
- General Form For The Intersection Of Three Finite Sets
- General Form Of A Circle
- General Problem Find Theta For F Theta X
- General Recap Of Trigonometric Equations
- General Solutions To Trigonometric Equations And Their Derivations
- General Understanding Of The Sequence Informal Definition
- Geometric Interpretation Of Cross product
- Geometric Interpretation Of Stp
- Geometric Mean
- Geometric View Point And Phase Diagrams
- Geometric Viewpoint Of Mdx Ndy 0
- Geometric Viewpoint Of Pendulum Equation
- Geometrical Interpretation Of Cube Roots Of Unity
- Geometrical Interpretation Of Integrals
- Geometrically Defining Differentiability
- Geometry Of Homogeneous Differential Equations
- Geometry Of Vector Triple Product
- Gp Problem 1
- Gp Problem 2
- Graphical Method
- Graphical Solution Of System Of Linear Inequation In Two Variables
- Graphs Of Different Types Of Quadratic Equations
- Hde Substitution Examples Exercises
- Higher Order Differentiation
- Histogram And Its Applications
- History Of Counting
- Homogeneous Differential Equation Definition Examples Discussion
- Homogeneous Domain Definition An Example
- Homogeneous Functions Definition And Examples
- Homogeneous Ordinary Differential Equation
- How To Find No Of Divisors Using Fta
- Idempotant Matrix Problem 5
- Identifying Coplanar Vectors Using Stp
- Identities And Problems On Identities
- Identities Of Complex Number
- Identity 14 Sum Of Two Inverses Of Tangent
- Identity Involving Integration Of 1 X N
- Identity Involving Multiple Integrations Of Binomial Expansion
- Identity Of Product Of Sum Of Coefficients
- Identity Of Sum Of Ratio Of Coefficients
- If Then Or Implication
- Iit Pal Intro
- Illustrated Examples
- Illustrating The Concepts Learned In Conditional Probability
- Importance Of Binomial Distribution Theorem
- Important Formula Of Sine Cosine For Half Of Angle
- Important Formulas Related To Properties Of Triangle
- Important Identities And Inequalities
- In Next Class
- Increasing Decreasing Functions
- Ineqaulities With Modulus Of Variable
- Inequalities Of Modulus Function
- Inequality For N
- Infinite Limits
- Infinite Limits Continued
- Infinite Sum Of Gp Problem 1
- Infinite Sum Of Gp Problem 2
- Infinite Sum Of Gp Problem 3
- Infinity Infinity Form Of L Hopital Rule
- Injection Principle
- Inradius And Circumradius Of Pedal Triangle
- Inscribed Circle Of A Triangle
- Inserting Ap Between Two Numbers
- Inserting Gp Between Two Numbers
- Integral By Method Of Partial Fraction
- Integral Example Using Antiderivative
- Integral Finite Sums Method In General And Examples
- Integral Of Some Particular Functions
- Integrals
- Integration By Parts Explained
- Integration By Substitution Method
- Integration Of A Given Function
- Integration Of Form Linear By Quadratic
- Integration Of Polynomial By Square Root Polynomial
- Integration Using Partial Fraction And Limit
- Integration With Log Properties
- Intercept Made By A Circle On The Axes
- Interesting Question
- Intermediate Value Theorem Ivt
- Interrogative Exclamatory Imperative
- Intersection Of 2 Lines In Symmetric Form
- Intersection Of 2 Lines In Vector Form
- Intersection Of A Curve With Another Curve
- Intersection Of Three Finite Sets Using Venn Diagram
- Intro
- Intro To The Class
- Introducing Cosec X
- Introducing Sec X
- Introduction
- Introduction To Binomial Theorem
- Introduction To Circles
- Introduction To Common Tangents
- Introduction To Counting
- Introduction To Determinants
- Introduction To Elements Of A Triangle
- Introduction To Graphical Representation Of Data
- Introduction To Lecture
- Introduction To Logarithms
- Introduction To Pigeonhole Principle
- Introduction To Statistics
- Introduction To Taylor S Theorem
- Introduction To The Lecture
- Introduction To The Method Of Substitution
- Introduction To Trigonometric Equation
- Introduction Why We Need Infinite Series
- Intuitive Definition Of Continuity
- Intuitive Idea
- Inverse Of A Matrix
- Inverse Of Matrix Problem 1
- Invertibility Of Matrix
- Jee 2014 Paper 2 Question Linear Differential Equation
- Jee 2016 Paper 1 Question Linear Differential Equation
- Justification Behind Pmi
- L Hopital Rule Simple Definition
- Left Hand And Right Hand Limit At Infinity
- Leibniz Rule For Differentiation And Curve Passing Through A Point
- Length Of Chord Joining X1 Y1 And X2 Y2 On The Ellipse Xu00B2 Au00B2 Yu00B2 Bu00B2 1
- LENGTH Of Chord Of Contact
- Length Of Medians Of A Triangle
- Length Of Sides Of Ex Central Triangle
- Length Of The Chord Of Parabola Yu00B2 4Ax
- Length Of The Sides Of A Pedal Triangle
- Length Of The Tangent To A Given Circle From A Given Point
- Let Compute Inverse Of Matrix Together
- Limit At And
- Limit Of A Function In Ode
- Limitations Of Mean Deviation
- Limits Theorem
- Line And Circle
- Linear Differential Equation It S Solution
- Linear Inequalities In Two Variables And Its Graphical Solutions
- Linear Ode And Integrating Factor
- Linear Ode Problem
- Linear Programming Related Definitions
- Lines In Space
- Ln X As Inverse Of E X
- Local Minima Maxima
- Logarithmic Differentiation
- Making New Events Using Set Theory
- Mathematical Defination Classical Defination Of Probability With Examples
- Mathematical Reasoning
- Matrices An Introduction
- Matrix And Determinant
- Matrix And Determinant Problem Solving Lecture 4 By Dr Vikas Vikram Singh
- Matrix Equation Problem 6
- Matrix Inverse Using Determinants
- Matrix Multiplication Problem 2
- Maximum Minimum Value Of A Function
- Mean And Application
- Mean Deviation And Its Examples
- Mean Example
- Mean Value Theorem Mvt
- Meaning Of Mdx Ndy 0
- Measure Of Central Tendency
- Measurement In Degrees
- Measurement In Radians
- Measures Of Dispersion
- Median And Uses
- Mid Point Formula
- Minors And Cofactors
- Misc Problems Question 01
- Miscellaneous Example 1
- Miscellaneous Example 2
- Miscellaneous Example 3
- Miscellaneous Problem 1 Affect On Variation With Similar Change In Each Element Of Data
- Miscellaneous Problem 2 Change In Mean When One Observation Is Replaced
- Miscellaneous Problem 3 Grouped Data
- Miscellaneous Problems
- Miscellaneous Problems Related To Complex Function Solving Them With Certain Properties
- Mode And Application With Formula
- Modulus Of Complex Number
- Modulus Problems
- More Binomial Identities
- More Examples On Use Of Differential Inequalities
- More Examples Solution Of Regular System Of Linear Equations
- More Exercises On Homogeneous Equations From Rainville S Book
- More On Implication
- Motivation Informal Definition Of Mi
- Multiplication Of Matrices
- Multiplication Of Two Complex Numbers In Polar Form
- Multiplication Principle
- Negation Definition Examples Notation
- Next Class Topics
- No Solution
- Non Trivial Solution Problem
- Notation And Range
- Notations
- Notations In Complex Numbers
- Nth Root Of Unity
- Nth Roots Of Unity
- Number Of Elements
- Number Of Elements In The Intersection Of Two Finite Sets And Their Derivation
- Numerically Greatest Term Ngt Introduction
- Observations On Logarithms
- Occupancy Problems
- Ode Solution And Intermediate Value Theorem
- One One Or Injective Function
- One Parameter Family Of Curves
- Onto Mapping From An M Set To An N Set And Their Derivation
- Onto Or Surjective Function
- Operation On Matrices Addition
- Operation On Matrices Scalar Multiplication
- Operations On Complex Number
- Operations On Sets
- Optimize Fuel Consumption Example
- Optimize Investment Example
- Origin And Historical Perspective Of Probability
- Origin Of Theory Of Probability
- Orthocentre Of A Triangle
- Orthogonal Matrix And Example Related To It
- Orthogonal Trajectories
- Other Form Of Chain Rule Examples
- Other Indeterminant Forms Of L Hopital Rule
- Other Properties Of Inverse Trig Functions
- Other rules of Probability using Axiomatic Definition
- Parallel And Perpendicular Lines
- Parallel Lines And Skew Lines
- Parallelogram Law
- Parametric Form Of A Circle
- Parametric Form Of A General Point On The Ellipse Xu00B2 Au00B2 Yu00B2 Bu00B2 1
- Parametric Form Of The Hyperbola X² A² — Y² B² 1
- Parametric Form Of The Hyperbola Xu00B2 Au00B2 U2014 Yu00B2 Bu00B2 1
- Parametric Form Of The Parabola Yu00B2 4Ax
- Pascal Triangle
- Pedal Triangle Definition
- Pendulum Energy Equation In Detail Topics Like Amplitude Types Of Motion Critical Case The Gudermannian Etc
- Permutation Definition
- Phase Curves
- Planes
- Plotting The Graph Of Tan X
- Plotting The Graphs Of Sin X And Cos X
- Point Of Intersection Of Line Y Mx C And Parabola Yu00B2 4Ax
- Point Of Intersection Of Tangents At Two Different Points On Parabola Yu00B2 4Ax
- Points Of Intersection Of Line Y Mx C With The Ellipse Xu00B2 Au00B2 Yu00B2 Bu00B2 1
- Points Of Local Maxima And Local Minima
- Polar Representation Of Complex Numbers
- Polynomial Trick For Calculating Inverse
- Popular Example From Geometry
- Position Of A Point Wrt Circle
- Positively Homogeneous Domain Definition An Example
- Power Of A Point Wrt To A Circle
- Practice Questions
- Preface
- Probability And Sample Space How They Are Connected
- Probability Of An Event
- Probability Question 1
- Problem 1
- Problem 1 Based On Baye
- Problem 1 Based On Intersection Of Two Finite Sets Using Venn Diagram
- Problem 1 Centroids Of Two Triangles
- Problem 1 Deducing Geometry From Equation
- Problem 1 Of Inverse Trigonometric Functions
- Problem 1 On Finding Coefficients
- Problem 1 On Ngt
- Problem 1 On Series Expansion
- Problem 1 P C
- Problem 1 Parallelogram Geometry
- Problem 1 Probability Of Finding X To Be An Odd Number In A Given Scenario
- Problem 2
- Problem 2 Based On Baye
- Problem 2 Based On Intersection Of Three Finite Sets Using Venn Diagram
- Problem 2 Classifying Quadrilateral Based On Position Vectors
- Problem 2 Collinear Vectors
- Problem 2 Expanding Vector Expressions With Dot And Cross
- Problem 2 Of Inverse Trigonometric Functions
- Problem 2 On Finding Coefficients
- Problem 2 On Ngt
- Problem 2 On Series Expansion
- Problem 2 Probability Of A Man Standing At Origin And To Be At A Distance Of 2 Units
- Problem 3
- Problem 3 Angle Between Vectors
- Problem 3 Based On Baye
- Problem 3 Cosine Of Angle Between Vectors
- Problem 3 Multiple Choice
- Problem 3 Of Inverse Trigonometric Functions
- Problem 3 Proving Triangle Is Equilateral
- Problem 3 To Find Probability Of Aunionbunionc
- Problem 4
- Problem 4 Ball Problem
- Problem 4 Based On Baye
- Problem 4 Condition For Obtuse Angle Between Vectors
- Problem 4 Multiple Choice
- Problem 4 Of Inverse Trigonometric Functions
- Problem 4 Probability Of Finding The Sum To Be 8 Or Even Number On Both The Faces Of Dice When The Probability Of Each Face Is Given
- Problem 4 Proof Using Stp
- Problem 4 Proving Triangle Is Isosceles
- Problem 5
- Problem 5 1 Solution
- Problem 5 2 Solution
- Problem 5 Algebra On 3 Vectors
- Problem 5 Angle Between Unit Vectors
- Problem 5 Based On Baye
- Problem 5 Finding Vector From Stp Conditio
- Problem 5 Of Inverse Trigonometric Functions
- Problem 5 Question
- Problem 5 Solution
- Problem 5 Type Of Match Whether Best Of 3 Or 5 To Be Chosen By Player A Against B So As To Win When Probability Of Winning A Match Of A Is Given
- Problem 6
- Problem 6 Advance Ball Problem Question
- Problem 6 Meaningful Vector Expressions
- Problem 6 Of Inverse Trigonometric Functions
- Problem 6 Probabilities Of Various Cases Of Calling A B And C Who Are Being Called In An Interview In A Random Order
- Problem 6 Solution
- Problem 6 Vector Inequality
- Problem 7
- Problem 7 Geometry Of Cross Product
- Problem 7 Total Number Of Ways That Are Possible When 5 People Are Sitting In A Table Wearing Hats
- Problem 8 What Is The Probability Of Winning Team Mb Over Team Eb With Given Conditions
- Problem Based On Common Tangents
- Problem On Am Gm
- Problem On Am Gm Relation
- Problem On Definite Integration Even Odd Function
- Problem On Determinant
- Problem On Determinant And Inverse Of Matrix
- Problem On Determinant Of A Matrix
- Problem On Finding Terms
- Problem On Gp And Ap
- Problem On Gp Series
- Problem On Greater Number
- Problem On Independent Term
- Problem On Integral Of Derivative Form
- Problem On Inverse And Adjoint Of A Matrix
- Problem On Nature Of Outcome
- Problem On Nth Term And Sum Of Two Aps
- Problem On Properties Of Determinants
- Problem On Ratio Of Terms
- Problem On Sum Of Coefficients
- Problem On Sum Of Finite Ap
- Problem On Sum Of Sequence
- Problem On Summation Change Of Base Multiplication Law
- Problem On System Of Linear Equation Solved Using Rank Of Matrix
- Problem On Terms In Ap
- Problem Related To All Basic Concepts Of The Matrix Including Inverse Of A Matrix
- Problem Similar To Ncert Exercise 12 2 Question 2
- Problem Similar To Ncert Exercise 12 2 Question 5
- Problem1
- Problem2
- Problem3
- Problems Based On Conjugate
- Problems On Bayes Theorem
- Problems On Conditional Probability
- Problems On Cube Root Of Unity
- Problems On Cube Roots Of Unity
- Problems On Determinant And Adjoint Of Matrix
- Problems On Determinant Of Matrix
- Problems On Determinants And Inverse Of Matrix
- Problems On Determinants And Its Properties
- Problems On Geometrical Interpretation Of Cube Roots Of Unity
- Problems On Independent Event
- Problems On Ivt
- Problems On Maximum Minimum Value Of A Function
- Problems On Nth Root Of Unity
- Problems On Number Of Elements In Unions And Intersections
- Problems On One Parameter Family Of Curves
- Problems On Powersets
- Problems On Properties Of Complex Numbers
- Problems On Properties Of Intersections And Unions
- Problems On Skew Symmetric And Symmetric Matrices
- Problems On Vectors
- Problems Practice
- Problems Related To Equation Of Line And Circle
- Product Rule For Derivatives
- Products Of More Than 2 Vectors
- Projection Of Vectors
- Proof Change Of Base Property
- Proof For Intersection Touching And Non Intersecting
- Proof Multiplication Law
- Proof Of Concurrence Of Medians Of A Triangle
- Proof Of Derivation Based On Concept Of Pie
- Proof Of Newton And Bohlin S Theorem
- Proof Of Properties
- Proof Of Relation Between Am Gm Using Geometry
- Proof Of Second Derivative Test
- Proof Of Standard Limit Using Sandwich Theorem
- Proof On Euler's Identity
- Proof Power Law
- Proof Quotient Law
- Proper Subset Superset
- Properties
- Properties 2 And 3
- Properties 4 And 5
- Properties 6 And 7
- Properties And Calculation Of Stp
- Properties Of Binomial Expansion And Coefficients
- Properties Of Complex Numbers
- Properties Of Cross Product
- Properties Of Determinant
- Properties Of Determinants
- Properties Of Determinants Property 1
- Properties Of Differentiable Functions
- Properties Of Functions
- Properties Of Indefinite Integrals
- Properties Of Limits Contd Product Rule
- Properties Of Limits Part 1
- Properties Of Limits Part 2
- Properties Of Limits Part 3
- Properties Of Ln X
- Properties Of Logarithmic Function
- Properties Of Logarithms
- Properties Of Matrix Mutliplication
- Properties Of Scalar Product
- Properties Of Sine And Cosine
- Properties Of Trigonometric Ratios Continued
- Properties Of Unions Intersections And Complements
- Property 1
- Property 2
- Property 3
- Property 4
- Property 5
- Property 6
- Property 7
- Property 8
- Property 9
- Property Of Centroid Dividing Medians In The Ratio 2 1
- Property Of Definite Integral Property 1 To Property 8
- Proving Cos 2Npi Y Cos 2Npi Y Cos Y
- Proving Tan Npi Y Tan Y
- Proving The General Solution Of Cos X Cos Y
- Proving The General Solution Of Tan X Tan Y
- Quadratic Inequalities
- Quantifiers
- Question
- Question 01
- Question 02
- Question 03
- Question 04
- Question 05
- Question 06
- Question 07
- Question 08
- Question 1
- Question 1 On System Of Linear Equation
- Question 10
- Question 11
- Question 12
- Question 13
- Question 14
- Question 15
- Question 16
- Question 2
- Question 2 On System Of Linear Equation
- Question 3
- Question 3 On System Of Linear Equation
- Question 4
- Question 5
- Question 6
- Question 7
- Question 8
- Question 9
- Questions
- Questions On Equation Of Line
- Questions On Vectors
- Quotient Rule
- Quotient Rule For Derivatives
- Rainville S Equations
- Random Experiment
- Range
- Range Of Values Of Sin X And Cos X Between X 0 And X 2
- Rate Of Change Of Quantities
- Reasoning
- Recall Of Lecture 1 Of Limits
- Recall Of Lecture 5
- Recall Of Polar Representation Of Complex Number And De Moviers
- Recap
- Recap And Some Examples
- Recap Of Last Problem
- Recap Of Lec 2
- Recap Of Lecture 5
- Recap Of Prev Lec
- Recap Of Previous Lecture
- Recapitulation Of Last Lecture
- Recapitulation Of Lec1
- Recoil Previous Lecture And Concept Of Mapping With Size M And N
- Recollection Of Formulas With Examples
- Recollection Of Properties Of Probability Of Events
- Rectangular Co Ordinates
- Recurrence Relation Fibonacci Seq
- Reduction Of General Form To Other Forms
- References Concluding Note
- Reflexive Relation
- Relation Between Am Gm And Its Proof Using Algebra
- Relation Between Circle And Line
- Relation Between Continuity And Differentiability
- Relation Between Degree And Radian
- Relation Between Inverse X And Inverse X
- Relation Between Sin X Sin X And Cos X Cos X
- Relations Between Various Inverse Trig Functions
- Relative Frequency Emperical Defination Of Probability
- Remark And Special Cases
- Remark On Total Number Of Relations
- Remarks For Using L Hopital Form
- Remarks On Cartesian Product
- Represent Sequence Using Graph
- Representation Of Data Having Uniform Width
- Representation Of Data Having Varying Width
- Representation Of Data When Upper And Lower Case Differ By One Unit
- Representation Of Set Notations
- Representing Lines In Space
- Restricting Domains To Make Function Invertible
- Review Of Mean And Mode
- Review Of Properties Of Logarithms
- Review Of Range And Mean Deviation
- Revised Lec 2
- Revision
- Revision And Summary Of Lecture
- Revision Of Definitions
- Revision Of Lec 1
- Revision Of Lecture 2 Construction Of New Statement From Old Ones
- Revision Of Pmi
- Revision Of Random Variable
- Rolle Theorem
- Rolle Theorem Continued
- Sample Space
- Sandwich Squeeze Theorem
- Scalar Triple Product And Handed Systems
- Second Derivative Test
- Second Problem Based On Common Tangents
- Section Formulae
- Segment Of Line
- Sentences
- Sequence Of Partial Sums
- Series Definition
- Series Recap
- Shortest Between 2 Lines
- Shortest Distance Of A Point From A Line
- Showing Unconditional Probability Comes Out To Be Same For Every Round For A Given Case
- Sigma Notation
- Sign Of Derivative
- Sign Of Roots
- Signs Of Roots
- Similarity Symmetry Concept Through Examples
- Similarity Symmetry Principle In Homogeneous Differential Equations
- Sine Law
- Singleton Set Complement of Set
- Singular And Non Singular Matrix
- Sketching Phase Curves
- Slope Of A Line
- Slope Of The Curve
- Smart Way Of Using By Parts
- Solution Of An Inequation
- Solution Of Ode By Variable Change Integration
- Solution Of System Of Linear Equations
- Solution Set Solution Region Algorithms To Find Solution Region
- Solution To Differential Equation And Sign Of Derivative
- Solved Example From Ncert
- Solved Example From Ncert Exercise
- Solved Examples Using Bar Graph
- Solved Problem 1
- Solved Problem 2
- Solved Problem 3
- Solved Problem 4
- Solved Problem 5
- Solved Problem 6
- Solved Problem 7
- Solved Problem Based On Ncert Exa 4
- Solving A Problem By Making Graph
- Solving A Problem Involving Converting Into Cos A B Formula
- Solving Another Tricky Problem Using Various Concepts
- Solving Functional Differential Eqns
- Solving Linear Inequation In One Variable
- Solving Problem Involving Higher Powers
- Solving Series From Product Of Polynomials
- Solving Some Problems
- Solving Some Problems Q1
- Solving Some Problems Q10
- Solving Some Problems Q2
- Solving Some Problems Q3
- Solving Some Problems Q4
- Solving Some Problems Q5
- Solving Some Problems Q6
- Solving Some Problems Q7
- Solving Some Problems Q8
- Solving Some Problems Q9
- Solving Some Tricky Problems
- Some Common Errors In Mi
- Some Examples On Vectors
- Some Facts About Ap Gp Hp
- Some Important Formulae
- Some Important Points
- Some Important Trigonometric Functions
- Some Interesting Results
- Some More Formulas
- Some More Probelms In Binomial Theorem
- Some Other Examples On The Application Of Mi
- Some Properties Of P E With Examples
- Some Special Integrals
- Some Useful Formulas
- Special Example
- Special Function
- Special Kind Of Sequence Series Arithmetic Progression
- Special Kind Of Sequence Series Arithmetic Progression Recall
- Special Kind Of Sequence Series Geometric Progression
- Special Kind Of Sequence Series Geometric Progression Recall
- Standard Deviation
- Standard Equation Of Hyperbola
- Standard Functions
- Statement
- Statement Of Pigeonhole Principle
- Straight Line Question 09
- Sub Tangent And Sub Normal Of Parabola Yu00B2 4Ax
- Subsets Powersets
- Sum Of Ap Problem 1
- Sum Of Ap Problem 2
- Sum Of First Nth Terms Ap
- Sum Of First Nth Terms Gp
- Sum Of Gp Problem 1
- Sum Of Infinite Gp
- Sum Of Inverses Of Sine
- Sum Up
- Summary
- Summary And Indeterminant Forms
- Summary Of Logarithm
- Summary Of The Angles And Sides Of A Pedal Triangle
- Symmetric And Skew Symmetric Matrix
- Symmetric Relation
- System Of Linear Equation
- System Of Linear Equation And Rank Of A Matrix
- System Of Linear Equation Problem 10
- System Of M Equations
- Tangent To The Curve
- Taylor S Theorem For Trigonometric Functions
- Taylor Series Expansion
- The Y Vx Substitution Into Hde Theorem And Proof
- Theorem
- Theorem 1
- Theorem 1 On Orthogonal Trajectories And Its Examples
- Theory Of Function Of Complex Variable
- Third Problem Based On Common Tangents
- Three Possibilities
- Topology And Contradiction
- Trace Of Matrix Problem 3
- Transformation Of Quadratic Equation
- Transitive Relation
- Transpose Of Matrix
- Transpose Of Matrix And It S Properties
- Trigonometric Solution Of Ode
- Trigonometry Function In Base
- Truth Set Its Example
- Truth Values
- Twice Of Inverse Of Tangent
- Two Examples On Cartesian Product From Ncert
- Two Examples On Relations Definition
- Two Fair Dice Tossing
- Types Of Events
- Types Of Matrices
- Understanding 3 D Geometry
- Universal Relation Example
- Upper And Lower Bound Of Area Under A Continuous Function
- Use Of Binomial Distribution Theorem In Calculating Number Of Events And Illustrating The Concept Of Generating Functions
- Use Of Differential Inequalities
- Use Of Trigonometric Identities
- Using D E To Plot The Solution
- Variance And Its Examples
- Variance Of Binomial Distribution
- Various Applications Of Permutation And Combination
- Vector Form Of A Plane Through 3Non Collinear Points
- Vector Form Plane Through
- Vector Normal Form And Example
- Verification Of Cramer S Rule
- Video Credits
- Visualization Of Non Repeatational Using Examples
- Vtp Identity
- Ways Of Calculating Inverses
- Weierstrass Approximation Theorem
- What Are Anti Derivatives
- What Are Determinants
- What Are Sequence And Series
- What Is 1St Order Differential Equation
- What Is A Quadratic Equation And Nature Of Its Roots
- What Is A Quadratic Equations Nature Of Its Roots
- What Is A Set
- What Is Inverse Of A Matrix
- What Is Limit
- When Integral Contain More Than One Variable
- When Is The Line Y Mx C Tangent To Hyperbola X² A² — Y² B² 1
- When Is The Line Y Mx C Tangent To Hyperbola Xu00B2 Au00B2 U2014 Yu00B2 Bu00B2 1
- Where Second Derivative Test Fails
- Why Circle Is Not A Cartesian Product Example
- Why Measures Of Central Tendencies Not Enough For Data Study
- Why Study Properties Of Determinants
- Xample Solution Of Under Determined System Of Linear Equations
- Zero Zero Form Of L Hopital Rule
- Zhukosvkii Function As Application Of Theory Of Complex Variable
- Zhukosvkii Function In Bohlin S Theorem
One One Or Injective Function
One-One or Injective function
graph TB
A[One-One or Injective function] --> B[Definition]
A --> C[Examples]
A --> D[Properties]
B --> E["Function f: A -> B is said to be one-one (or injective), if the images of distinct elements of A under f are distinct, i.e. if a, b ∈ A and a ≠ b, then f(a) ≠ f(b)."]
C --> F["If f(x) = 2x + 3, then for any two different values of x, we get two different values of f(x). Hence, f(x) = 2x + 3 is one-one."]
D --> G["If f and g are both injective then the composition function (f o g) is also injective."]
BETA
