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

Equation Of A Straight Line

Equation of a straight line

graph TB A[Equation of a straight line] A --> B["Slope-intercept form: y = mx + b"] A --> C["Point-slope form: y - y1 = m(x - x1)"] A --> D["Two-point form: (y - y1) = ((y2 - y1) / (x2 - x1)) * (x - x1)"] A --> E["Intercept form: x/a + y/b = 1"] A --> F["Normal form: x cos θ + y sin θ = p"] B --> G["m = slope, b = y-intercept"] C --> H["m = slope, (x1, y1) = point on the line"] D --> I["(x1, y1) and (x2, y2) = two points on the line"] E --> J[a = x-intercept, b = y-intercept] F --> K[θ = angle made by the normal with positive x-axis, p = length of the normal from the origin]

Maths

Equation Of A Straight Line

Equation of a straight line

Table of Contents

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

NCERT Video Solution

Maths

Equation Of A Straight Line

Equation of a straight line

Table of Contents

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Mentorship

NCERT Video Solution

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