# Maths Videos

## Sets, Relations and Functions

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### Introduction to Relations

This video explains the concept of relations and types of relation like Emp -
### Types of sets and its representation

Types of sets and describe two forms of set representation. -
### Functions and its type

Learn the definition and way of exhibiting functions. Domain, co-domain and -
### Subsets and Supersets

This video covers the definition of subsets and supersets of a set and also -
### Problems on Functions

This video revists the types of functions and solve problems based on them.

## Complex Numbers and Quadratic Equations

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### Representation of complex numbers in Argand Plane

Represent complex numbers in Argand Plane. Understand the polar form of a c -
### Graphical Representation

This video explains the representation of complex numbers in Argand Plane a -
### Complex Numbers: Exam Prep Strategies

Represent complex numbers in Argand Plane. Understand the polar form of a c -
### Introduction to Complex Numbers

This video gives the introduction to Complex Numbers. -
### Introduction to Complex Numbers

This video covers the introduction to Complex Numbers and some examples on

## Matrices and Determinants

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### Introduction to Matrices

This video explains what a matrix is, its order and discusses the types of -
### Matrix Operations

This video explains addition of matrices, scalar multiplication of matrices -
### Concepts on Transpose of a matrix

Discuss Transpose of a matrix. Symmetric and Skew Symmetric matrices. Repre -
### Elementary operations

This video explains the elementary operations on matrices and how to apply -
### Concepts on determinants

Introduction to Determinants. Discuss the value of a 2x2 determinant.

## Permutations and Combinations

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### Fundamental Principle of Counting

This video explains the fundamental principles of counting, Multiplication -
### Combinations

This video explains the derivation of the formula of combination, different -
### Permutations: Distinct Objects

This video explains the permutation of n objects taken r at a time, factori -
### Application on arrangements of objects using n!/(P1!P2!

Formulate the theorem of permutation on n objects when all objects are not -
### Revising concepts and theorems of permutation and combi

Review the concepts and theorems of permutation and combinations. Solve pro

## Mathematical Induction

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### Introtoduction to math Induction

Differentiate between inductive and deductive reasoning. State Principle o -
### Application of Mathematical Induction

This video explains the Principle of Mathematical Induction to prove the va -
### A problem-solving approach to Mathematical induction

Differentiate between inductive and deductive reasoning. State Principle of -
### Application of Mathematical Induction

This video explains the use of Principle of Mathematical Induction to prove -
### Introduction to Mathematical Induction

This video covers the difference between inductive and deductive reasoning

## Binomial Theorem and its Simple Applications

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### Binomial Theorem for Positive Index

This video covers examples and concepts related to Binomial Theorem for the -
### General Term in Binomial Expansion

This video explains the General term of Binomial Theorem for non negative i -
### Binomial Theorem for Positive Index

This video covers examples and concepts related to Binomial Theorem for the -
### General term in Binomial expansion

This video covers concepts related to General term of Binomial Theorem for -
### Quick revision on Binomial theorem for positive index

State the Binomial Theorem for the positive Index and explore properties of

## Sequences and Series

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### Concepts of sequence and series - Introduction

Introduce the concept of sequences and series, their types and specific typ -
### Arithmetic Progressions

This video covers examples on condition for a sequence to be an arithmetic -
### Relationship between A.M. and G.M.

This video explains the geometric Mean of two numbers and inserting numbers -
### Special Sequences and Series

This video covers examples related to Summation of a series containing squa -
### Arithmetic Mean

This video explains the arithmetic mean of two numbers, inserting n numbers

## Limit, Continuity and Differentiability

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### Continuous and Discontinuous function

Understand the meaning of function to be continuous and discontinuous, comb -
### Relationship between continuity and differentiability -

Relationship between continuity and differentiability, concept of composite -
### Derivative of Parametric Functions

Learn the relation between two variables x and y using the third variable a -
### Second-order derivatives

Learn to find out the second-order derivatives of the given functions. -
### Rolle's Theorem and its geometrical interpretation

Discuss Rolle's Theorem and its geometrical interpretation. Also discuss La

## Integral Calculus

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### Introduction to Integration

This video explains integration as an anti derivative reverse of differenti -
### Integration by substitution

This video explains the use of section formula to find mid point of a line -
### Integration by partial fractions

This video covers examples related to Integration by partial fractions, whe -
### Integrals using Trigonometic Identities

This video covers examples related to the use of trigonometric identities t -
### Standard formulae for integration of functions

Learn standard formulae for integration of functions involving quadratic fu

## Differential Equations

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### General and Particular Solutions of a Differential Equa

General and Particular Solutions of a Differential Equation, Methods of Sol -
### Concept of Homogeneous Differential Equations

Concept of Homogeneous Functions, Concept of Homogeneous Differential Equat -
### Concepts on linear differential equation

Learn definitions of linear differential equation and methods to solve them -
### Introduction to differential equations

This video explains introduction to differential equations. -
### General and Particular solutions of DE

General and Particular Solutions of a Differential Equation, Methods of Sol

## Co-ordinate Geometry

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### Basics of 2 Dimensional Geometry

This video explains the basic concepts of 2D geometry. -
### Slope of a Straight Line

This video explains how to find the slope of a line, condition for parallel -
### Various Forms of Equation of A Line

This video explains horizontal and vertical lines, various forms of equatio -
### Concepts related to distance between lines

This video explains concepts related to distance between lines. -
### Normal and General Form of A Line

This video explains the Normal and General Forms of A Line.

## Three Dimensional Geometry

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### Cartesian equation of a line

This video covers examples related to Equation of a line in space, Vector a -
### Skew Lines

This video explains how to calculate angle, shortest distance between two l -
### Equation of a Plane

This video explains the equation of a plane in normal form, perpendicular t -
### Intercept Form and Family of Planes

This video explains the equation of a plane through 3 non-collinear points, -
### Co-planarity of two lines

Co-planarity of two lines, angle between two planes & between a line and a

## Vector Algebra

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### Vector multiplication concepts

Multiplication of a vector by a scalar, vector joining two points. Directio -
### Cross product

This video explains the properties of vector product especially cross produ -
### Introduction to vector algebra

This video explains the definition of vector and its types, direction angle -
### Concepts and application on properties of vector

Multiplication of a vector by a scalar, vector joining two points. Directio -
### Concepts on Vector cross product

Vector or cross product. Properties of vector product.

## Statistics and Probability

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### Introduction to Probability

This video explains the types of events, random experiments, sample spaces -
### Conditional Probability

This video explains the concept of conditional probability and solves probl -
### Concepts on Partition of a sample space

Partition of a sample space, law of total probability. Bayes' Theorem. -
### Concepts on Binomial Distribution

This video introduces and explains Binomial Distribution. -
### Concepts on distribution of random variables

This video deals with the concepts of random variables.

## Trigonometry

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### Properties of Inverse Trigonometry Part - 1

This video explains the properties of inverse trigonometric applications an -
### Trigonometric identities and problems

Fundamental trigonometric identities and problems based on them. Sign Conve -
### Graphical representation of inverse trigonometric funct

Graphical representation of inverse trigonometric functions and principle -
### Degree measure and Radian measure

This video explains the concept of negative & positive angles, conversion o -
### Domain, period and range of trigonometric functions

Define the domain, period and range of the trigonometric functions and plot

## Mathematical Reasoning

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### Mathematical Statements

This video covers examples and concepts related to Mathematical Statements. -
### Examples on Mathematical Statements

This video covers examples and concepts related to Mathematical Statements. -
### Mathematical Statement

Mathematical Statements -
### Implications and Validating of Statements

This video explains Implications and the methods to validate a statement. -
### Implications and Validating of Statements

This video explains Implications and the methods to validate a statement.

## Sets, Relations and Functions

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### Functional equations

This video explains how to approach questions in which equations in terms o -
### Range of a function reducible to quadratic equation

The video explains how to find the range of a function by reducing it in th -
### Roots of the function reducible to the Quadratic form

The video explains how to find the number of real roots of the equation by -
### Representing a function as the sum of even and odd func

The video explains the representation of a function as the sum of odd and e

## Complex Numbers and Quadratic Equations

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### Quadratic Equation having no real roots

Question solved in the video make use of the condition of a quadratic equat -
### Using Euler's formula in complex numbers

The video explains the use of Euler's formula for solving an equation havin -
### Quadratic Equation - Common Roots

The video explains the concept of common roots of two quadratic equations a -
### Complex Numbers - Argument of complex number

This video gives detailed explanation of argument of complex number and its -
### Complex Numbers - Basics & Operation on Complex Num

This video gives introduction to complex numbers and involves all the opera

## Matrices and Determinants

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### Consistency of system of linear equations using determi

The video explains to check the consistency of system of linear equations u -
### Finding the interval in which determinant of a matrix l

This video explains how to find the determinant of a matrix by expansion an -
### Finding value of the determinant expanding along the fi

The video explains the expansion of a determinant along the first row to ge -
### Properties of inverse and determinant of product of 2 m

The video explains to find the value of a determinant without expanding and -
### System of Linear Equations having more than one solutio

The video explains how to solve the system of linear equations having more

## Permutations and Combinations

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### No of ways of forming a 4-digit number using 6 digits w

The video explains how to find the number of ways of forming a 4-digit numb -
### Combination with restrictions

This video explains how to approach questions based on combination with res -
### Finding the value of n when the combinations are in AP

The video explains how to get the value of n when the combinations are in A -
### Permutations and Combinations - Questions on Permutatio

This video describes the formulae of finding permutations and combinations&

## Binomial Theorem and its Simple Applications

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### Number of irrational terms in the binomial expansion

Question solved in this video uses the binomial expansion to find the numbe -
### Value of r for the coefficient of x^r in the binomial e

Question solved in the video uses the binomial expansion to find the value -
### Fourth term in the binomial expansion using general ter

The video explains how to find a particular term in the binomial expansion -
### The term independent of x in the binomial expansion

The video explains the use of general term formula in the binomial expansio -
### Binomial Theorem - General Term & Binomial Coeffici

The video explains to find general term and binomial coefficient in binomia

## Sequences and Series

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### Arithmetic progressions

This video explains how to approach a question based on proving the given s -
### Sum of the series using sum of a finite G.P.

The video explains how to find the sum of the series using the formula for -
### Ratio of two particular terms of a GP

The video explains how to get the ratio of two particular terms of a GP usi -
### Problem based on the property of G.P

The video explains how to use the property of GP for three numbers when the -
### Sum of n terms of an AP when S4 and S6 are given

The video explains how to find the sum of 10 terms of an AP using the formu

## Limit, Continuity and Differentiability

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### Least value using double derivative

Question solved in the video uses the relation between roots and coefficien -
### Differentiating composite functions using Chain rule

The video explains to find the derivative of a function at a point which is -
### Points at which the function is not differentiable usin

This explains how to find the point(s) of non-differentiability of a functi -
### Equation of tangent to the curve using differentiation

This explains how to find the equation of a tangent to the curve at a point -
### Continuity of a function containing greatest integer an

This explains to check the continuity and find the points of discontinuity

## Integral Calculus

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### Definite Integration using leibniz rule

The video explains to find the differentiation of definite integral using L -
### Area of the region bounded by a parabola and the line

This explains to find the area of a region bounded by a curve and the line -
### Area of the region bounded by a parabola between the gi

This explains to find the area of a region bounded by a parabola when the l -
### Properties of definite integrals

This video explains properties of definite integrals by explaining an examp -
### Indefinite integration by using algebraic substitution

The video explains how to solve an indefinite integral by algebraic substit

## Differential Equations

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### Solving the DE using variable separation method

The video explains to find the solution of a differential equation using th -
### Solution of a Linear DE using Integrating factor

Question solved in the video explains to find the solution of linear differ -
### Finding nature of the solution of a linear DE

The video explains to find the solution of a linear DE using integrating fa -
### Integration using trigonometric identities

This video explains how to integrate a function using trigonometric identit -
### Differential equation - Linear differential equation

This videos explains about linear differential equation and also involves t

## Co-ordinate Geometry

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### Distance of a point lying on the square and circle from

The question solved in this video uses the standard equation of a circle is -
### Area of triangle formed by tangent & normal to circ

The video explains how to find the area of a triangle formed by the tangent -
### Equation of a parabola lying along x-axis with the give

Question solved in the video explains to find the equation of a parabola ly -
### Equation of a line passing through a point and intersec

Question solved in the video explains to find the equation of a line passin -
### Modulus of a complex number on the Argand plane

The video explains the representation of complex numbers on the Argand plan

## Three Dimensional Geometry

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### A line passing through a point, parallel to the plane &

This explains how to find the equation of a line passing through a point & -
### Direction ratio of normal to the plane making certain a

Question solved in the video explains how to find the direction ratios of a -
### Equation of a line passing through 2 points in 3D

Question solved in the video uses the standard equation of a line passing t -
### Equations of a line and a plane in different forms

This video explains how to find the equation of a line and a plane from the -
### Equation of a plane bisecting the line segment joining

This explains how to find the equation of a plane bisecting the line segmen

## Vector Algebra

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### Non-zero vector product of two out of the three coplana

This explains how to find the cross product of two out of the three vectors -
### Range of cross product of two vectors

This explains how to find the cross product of two vectors along with the m -
### Finding unknown using the formula for angle between the

This explains how to use the standard formula of angle between the line and -
### Vector triple product and Scalar product of two vectors

The video explains how to find the angle between two vectors using scalar p -
### Vectors - Dot Product

This video explains the dot product of two or more vectors and how to find

## Statistics and Probability

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### Probability of gain or loss

The video explains to find the probability of winning or losing, gain or lo -
### Variance of the data when the same constant is subtract

This video explains to find the variance of the data when the same number i -
### Probability: addition theorem of probability

This video explains how to solve examples related to probability based on a -
### Standard deviation of two sets of data

The video explains how to find the standard deviation of two sets of data u -
### Probability of complementary event

The video explains to find the probability of an event by finding probabili

## Trigonometry

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### Finding ratio of lengths of sides of a triangle when th

This explains how to find the angles of a triangle using the relation betwe -
### Continued product of cosine series

Question solved in the video uses the formula for continued product of cosi -
### Solving trigonometric equations using relation between

The video explains how to use the relation between AM and GM for solving th -
### Using trigonometric identities to solve a trigonometric

The video explains how to find the value of a trigonometric function for at -
### Inverse Trigonometric Functions - Introduction and Prop

This video explains Inverse trigonometric functions

## Mathematical Reasoning

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### Equivalent boolean expressions

The video explains to find the equivalent boolean expression when two of th -
### Truthfulness of the statements (Tautology)

Question solved in the video checks for the tautology of a statement using -
### Boolean expression logically equivalent to another bool

The video explains how to find the equivalent boolean expression using De M -
### Mathematical reasoning - Logically equivalent statement

This video explains equivalent statements and different laws of logical equ -
### Mathematical reasoning - Tautology, contradiction, conv

This video explains tautology, contradiction, converse and contrapositive o