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Advanced eSaral Yt lec

eSaral Coorporation Ltd.

19 modules

Lifetime access

Overview

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Modules

Logarithms

8 attachments • 2 hrs

Lecture: 01. Introduction to Logarithms

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Lecture: 02. Basics of Logarithms

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Lecture: 03. Properties of Logarithm - Part 1

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Lecture: 04. Properties of Logarithm - Part 2

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Lecture: 05. Solving Logarithmic Equations

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Lecture: 06. Graph of Logarithmic Functions

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Lecture: 07. Antilogarithm

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Lecture: 08. Characteristic & Mantissa

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(Trigonometric Ratios & Identities)

18 attachments • 7 hrs

Chapter: Compound Angle (Trigonometric Ratios & Identities)Lecture: 01. Introduction to Trigonometry

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Lecture: 02. Trigonometric Ratios

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Lecture: 03. Real Definition of Trigonometric Ratios

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Lecture: 04. Trigonometric Ratios of Allied Angles

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Lecture: 05. Trigonometric Graphs

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Lecture: 06. Trigonometric Ratios of Compound Angles

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Lecture: 07. Transformation Formulae - Sum to Product

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Lecture: 08. Transformation Formulae - Product to Sum

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Lecture: 09. Tangent Formula

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Lecture: 10. Trigonometric Ratios of Multiple & Submultiple Angles

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Lecture: 11. Trigonometric Ratios for some Standard Angles

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Lecture: 12. Trigonometric Ratios of the Sum of More Than Two Angles

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Lecture: 13. Trigonometric Identities in a Triangle (Conditional Identities)

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Lecture: 14. Application of Trigonometry in Maximising & Minimising - Type I

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Lecture: 15. Application of Trigonometry in Maximising & Minimising - Type II, III

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Lecture: 16. Application of Trigonometry in Maximising & Minimising - Type IV, V & VI

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Lecture: 17. Summation of Trigonometric Series

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Lecture: 18. Continued Product of Sine & Cosine Series

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Quadratic Equations

18 attachments • 8 hrs

Chapter: Quadratic EquationsLecture: 01. Polynomials

Lecture: 02. Quadratic Equations and Nature of Roots

Lecture: 03. Formation of Quadratic Equations

Lecture: 04. Symmetric Function of Root

Lecture: 05. Roots Under Special Conditions

Lecture: 06. Identities

Lecture: 07. Condition for Common Roots

Lecture: 08. Introduction to Quadratic Graphs

Lecture: 09. Inequalities

Lecture: 10. Maximum and Minimum Values of Quadratic and Rational Functions

Lecture: 11. Location of Roots

Lecture: 12. Transformation of Quadratic Equations

Lecture: 13. Theory of Equations

Lecture: 14. Quadratic Expressions in Two Variables

Lecture: 15. Modulus Function

Lecture: 16. Inequalities Involving Modulus Function

Lecture: 17. Logarithmic Inequalities

Lecture: 18. Exponential Inequalities

Sequence and Series

17 attachments • 7 hrs

Chapter: Sequence and SeriesLecture: 01. Introduction to Sequence, Series and Progression

Lecture: 02. Introduction to Arithmetic Progression - General Term

Lecture: 03. Summation of Arithmetic Progression

Lecture: 04. Properties of Arithmetic Progressio

Lecture: 05. Arithmetic Mean

Lecture: 06. General Term of Geometric Progression

Lecture: 07. Summation of Geometric Progression

Lecture: 08. Properties of Geometric Progression

Lecture: 09. Geometric Mean

Lecture: 10. General Term of Harmonic Progression

Lecture: 11. Harmonic Mean

Lecture: 12. Relation Between A.M., G.M. & H.M.

Lecture: 13. Arithmetico - Geometric Progression

Lecture: 14. Special Sequence - Sigma Notation

Lecture: 15. Special Sequence - Method of Difference

Lecture: 16. Special Sequence - Splitting the Terms

Lecture: 17. Special Sequence - Miscellaneous

Trigonometric Equation

10 attachments • 3 hrs

Chapter: Trigonometric EquationLecture: 01. Introduction to Trigonometric Equations

Lecture: 02. General Solution of Trigonometric Equations - Part 1

Lecture: 03. General Solution of Trigonometric Equations - Part 2

Lecture: 04. Strategies for Solving Trigonometric Equations - 1. Factorization 2. Reducing

Lecture: 05. Strategies for Solving Trigonometric Equations - 3. Introducing an Auxiliary Argume

Lecture: 06. Strategies for Solving Trigonometric Equations - 4. Transforming Sum to P

Lecture: 07. Strategies for Solving Trigonometric Equations - 6. By Change of Variable/ Subs

Lecture: 07. Strategies for Solving Trigonometric Equations - 6. By Change of Variable/ Subs

Lecture: 08. Strategies for Solving Trigonometric Equations - 7. By Boundness 8. By Squaring 9. Sy

Lecture: 09. Trigonometric Inequalities & System of Inequalities

Solution of Triangles

13 attachments • 4 hrs

Lecture: 01. Properties & Solution of Triangle

Lecture: 02. Sine Rule

Lecture: 03. Cosine Rule

Lecture: 04. Projection Formula

Lecture: 05. Tangent Rule

Lecture: 06. Half Angle Formulae

Lecture: 07. m-n Theorem

Lecture: 08. Circumcircle

Lecture: 09. Incircle

Lecture: 10. Excircles

Lecture: 11. Orthocentre

Lecture: 12. Lengths of Angle Bisector & Median

Lecture: 13. Regular polygon

Application of Trigonometry

1 attachment • 31 mins

Lecture: 01. Height and Distance

Point

7 attachments • 3 hrs

Lecture: 01. Mathematical Contribution of a Fly

Lecture: 02. Coordinate System & Distance Formula

Lecture: 03. Section Formula

Lecture: 04. Centers of a Triangle - Centroid, Incentre & Excentre

Lecture: 05. Centers of a Triangle - Orthocentre & Circumcentre

Lecture: 06. Area of Triangle

Lecture: 07. Locus

Straight Line

17 attachments • 6 hrs

Lecture: 01. Introduction to Straight Line

Lecture: 02. Standard Forms of Equations of Straight Lines - Slope, Intercept Form

Lecture: 03. Standard Forms of Equations of Straight Lines - One Point, Two Point Form

Lecture: 04. Standard Forms of Equations of Straight Lines - Normal, Parametric, General Form

Lecture: 05. Point and Line

Lecture: 06. Length of the Perpendicular from a Point on a Line

Lecture: 07. Angle between two Straight Lines

Lecture: 08. Equation of Lines - Parallel & Perpendicular to a given line

Lecture: 09. Equation of Straight Lines Equally Inclined to a given line

Lecture: 10. Family of Straight Lines

Lecture: 11. Concurrency of Straight Lines

Lecture: 12. Angle Bisectors

Lecture: 13. Optics

Lecture: 14. Transformation of Axes

Lecture: 15. Pair of Straight Lines

Lecture: 16. General Equation of Second Degree representing a Pair of Straight Lines

Lecture: 17. Homogenisation

Circle

21 attachments • 9 hrs

Lecture: 01. Center - Radius Form of a Circle

Lecture: 02. General Form of a Circle

Lecture: 03. Intercept Form of a Circle

Lecture: 04. Diametric Form of a Circle

Lecture: 05. Parametric Equations of the Circle

Lecture: 06. Point & Circle

Lecture: 07. Line & Circle

Lecture: 08. Tangents from an External Point

Lecture: 09. Chord of Contact

Lecture: 10. Pair of Tangents to the Circle

Lecture: 11. Problems Based on Pair of Tangents to the Circle

Lecture: 12. Chord with Mid-Point

Lecture: 13. Director Circle

Lecture: 14. Chord of a Circle

Lecture: 15. Normal to the Circle

Lecture: 16. Radical Axis

Lecture: 17. Family of Circles

Lecture: 18. Family of Circles - Special Case

Lecture: 19. Coaxial System of Circles

Lecture: 20. Intersection of Circles

Lecture: 21. Common Tangents to the Circles

Parabola

20 attachments • 8 hrs

Lecture: 01. Standard Parabola - Part 1

Lecture: 02. Standard Parabola - Part 2

Lecture: 03. Shifted parabola - Part 1

Lecture: 04. Shifted parabola - Part 2

Lecture: 05. Shifted parabola - Part 3

Lecture: 06. Point and Parabola

Lecture: 07. Parametric Coordinates of a Parabola

Lecture: 08. Chord joining two points of a Parabola - Part 1

Lecture: 09. Chord joining two points of a Parabola - Part 2

Lecture: 10. Length of Chord of Parabola

Lecture: 11. Tangents to Parabola - Slope Form

Lecture: 12. Tangents to Parabola - Cartesian, Parametric Form

Lecture: 13. Pair of Tangents to Parabola

Lecture: 14. Normals to Parabola - Cartesian, Parametric Form

Lecture: 15. Normals to Parabola - Slope Form

Lecture: 16. Common Tangent

Lecture: 17. Subtangent & Subnormal

Lecture: 18. Chord with given Mid-Point

Lecture: 19. Diameter of Parabola

Lecture: 20. Highlights about Parabola

Ellipse

12 attachments • 5 hrs

Lecture: 01. Standard Ellipse

Lecture: 02. Ellipse at a Glance

Lecture: 03. Problems on Standard Ellipse

Lecture: 04. Other Forms of Ellipse

Lecture: 05. Auxilliary Circle and Eccentricity of Ellipse

Lecture: 06. Point and Ellipse

Lecture: 07. Tangent to Ellipse - Slope Form

Lecture: 08. Tangent to Ellipse - Cartesian Form

Lecture: 09. Tangent to Ellipse - Parametric Form

Lecture: 10. Normals to Ellipse

Lecture: 11. Pair of Tangents to Ellipse

Lecture: 12. Chord with a given Mid-Point

Hyperbola

12 attachments • 5 hrs

Lecture: 01. Standard Hyperbola

Lecture: 02. Hyperbola at a Glance

Lecture: 03. Other Forms of Hyperbola

Lecture: 04. Auxilliary Circle and Eccentricity of Hyperbola

Lecture: 05. Point and Hyperbola

Lecture: 06. Tangents to Hyperbola - Slope Form

Lecture: 07. Tangents to Hyperbola - Parametric Form

Lecture: 08. Tangents to Hyperbola - Cartesian Form and Chords

Lecture: 09. Normals to Hyperbola

Lecture: 10. Pair of Tangents & Chord with given Mid-Point

Lecture: 11. Asymptotes

Lecture: 12. Rectangular Hyperbola

Permutation & Combination

17 attachments • 11 hrs

Lecture: 01. Factorial

Lecture: 02. Formation of Numbers

Lecture: 03. Permutation and Combination

Lecture: 04. Selection of 'r' things out of 'n' different things

Lecture: 05. Permutation of Things which are all Different

Lecture: 06. Formation of Groups and their Distribution

Lecture: 07. Combination of Things which are not all Different DOWNLOAD

Lecture: 08. Number of Divisors and their Sum

Lecture: 09. Permutation of Alike Objects Taken All or Some at a Time

Lecture: 10. Rank of the Word

Lecture: 11. Circular Permutation: When Objects are Different or Alike

Lecture: 12. Geometric Problems

Lecture: 13. Principle of Inclusion and Exclusion

Lecture: 14. Summation of Numbers

Lecture: 15. Distribution of Alike Objects

Lecture: 16. Derangement

Lecture: 17. Miscellaneous Problems of P&C

Binomial Theorem

16 attachments • 6 hrs

Lecture: 01. Introduction to Binomial Theorem

Lecture: 02. Expansion of Binomial Theorem

Lecture: 03. mth-term from the End

Lecture: 04. Coefficient of x to the power m in the Expansion

Lecture: 05. Middle Term in the Expansion DOWNLOAD BY @daityaji

Lecture: 06. Number of Terms in the Expansion

Lecture: 07. Numerically Greatest Term

Lecture: 08. Properties of Binomial Cofficient - Type 1

Lecture: 09. Properties of Binomial Cofficient - Type 2

Lecture: 10. Properties of Binomial Cofficient - Type 3

Lecture: 11. Properties of Binomial Cofficient - Type 4

Lecture: 12. Sum of Coefficients in an Expansion

Lecture: 13. Applications of Binomial Theorem

Lecture: 14. Multinomial Theorem

Lecture: 15. Binomial Theorem for Negative & Fractional Index DOWNLOAD

Lecture: 16. Approximation

Complex Number

16 attachments • 6 hrs

Lecture: 01. Complex Number

Lecture: 02. Algebra of Complex Number

Lecture: 03. Conjugate of Complex Number

Lecture: 04. Modulus of Complex Number

Lecture: 05. Argument of Complex Number

Lecture: 06. Polar Form

Lecture: 07. Cartesian & Vector Form

Lecture: 08. De-Moivre's Theorem

Lecture: 09. Cube Roots of Unity

Lecture: 10. nth Roots of Unity

Lecture: 11. Geometry

Lecture: 12. Rotation

Lecture: 13. Equation of Straight Line

Lecture: 14. Geometry Conic Section

Lecture: 15. Locus

Lecture: 16. Triangular Inequality

Statistics

9 attachments • 2 hrs

Lecture: 01. Measure of Central Tendency - Arithemetic Mean

Lecture: 02. Properties of Arithemetic Mean

Lecture: 03. Measure of Central Tendency - Weighted Mean & Combined Mean

Lecture: 04. Harmonic Mean and Geometric Mean

Lecture: 05. Measure of Central Tendency - Median

Lecture: 06. Measure of Central Tendency - Mode

Lecture: 07. Measures of Dispersion - Range and Mean Deviation

Lecture: 08. Measures of Dispersion - Variance and Standard Deviation

Lecture: 09. Properties of Variance

Principle of Mathematical Induction

2 attachments • 53 mins

Lecture: 01. Subjective Approach to Induction

Lecture: 02. Objective Approach to Induction

Mathematical Reasoning

3 attachments • 1 hrs

Chapter: Mathematical ReasoningLecture: 01. Logical Operator : AND and OR

Lecture: 02. Logical Operator : Conditional and Bi-conditiona

Lecture: 03. Algebra of Statements

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About the creator

About the creator

eSaral Coorporation Ltd.

Jai Hind Defence aspirant. This is for you all from my Side 

Hope this Will Help us in our journey 

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