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Vineet Loomba

Videos & Materials

Principle of Mathematical Induction

Mathematical Reasoning - Concepts

Mathematical Reasoning - Problems

Statistics - Mean Deviation

Statistics - Variance and Standard Deviation

Statistics - Miscellaneous

Quadratic Equations and Nature of Roots

Graphs of Quadratic Equations and Analysis

Identity and Common Roots

Location of Roots

Pseudo Quadratic Equations & Problems

Rank Booster Problems and Doubt Clearing

Statement of Binomial Theorem and Binomial Coefficient

Coefficients and properties of Binomial Coefficients

Greatest Term and Applications of Binomial Expansions

Miscellaneous Series and Problems

Binomial theorem for any index and Miscellaneous series

Multinomial Expansions and Doubt Clearing Session

Sequences and Arithmetic Progression

Arithmetic Mean and Problems

Geometric progression and Series summation

Geometric Mean and Problems & Doubt Clearing

Harmonic Progression and AM GM HM Inequality

Arithemetico Geometric Progression and Miscellaneous Series

Method of Differences for Sum of Series and Doubt Clearing Session

Trigonometric Ratios - Allied Angles

Compound Angles - Transformation Formulas

Multiple and Sub-Multiple Angles

Trigonometric Series and Summations & Doubt Clearing

Conditional Identities and Heights and Distances

Trigonometric Equations

Trigonometric Inequations

Miscellaneous Trigonometric Equations & Doubt Clearing

Solutions of Triangles - Sine Rule, Cosine Rule

Solutions of Triangles - Tangent Rule, Area of Triangle

Solutions of Triangles - Miscellaneous Concepts

Miscellaneous Problem Types in Trigonometry & Doubt Clearing

Straight Lines - Part I : Coordinate Geometry & Angle between two lines

Straight Lines - Part II : Different forms of straight lines

Straight Lines - Part III : Perpendicular bisector and Distance between parallel lines

Straight Lines - Part IV : Locus and Equation to Locus

Straight Lines - Part V & Doubt Clearing Session

Straight Lines - Part VI: Image of a point and foot of perpendicular and rotation of axis

Straight Lines - Part VII: Pair of Straight Lines and Homogenisation

Circles - Part I : Definitions and Equation of Circle with typical conditions

Circles - Part II : Position of a Point and Intersection of Line and Circle

Circles - Part III : Chord of Contact & Doubt Clearing Session

Circles - Part IV: Director Circle and Different Cases of Two Circles

Circles - Part V: Family of Circles and Radical Axis

Circles Part VI: Pair of Tangents and Common Chords

Circles Part VII: Miscellaneous Problems & Doubt Clearing Session

Introduction and standard equations of parabola

Equation of Tangents and Normals to Parabola

Chord of Contact and Pair of Tangents to Parabola

Director Circle and Properties of Parabola & Doubt Clearing

Ellipse Introduction and Eccentric Angle

Equation of Tangent and Normal to Ellipse

Director Circle and Properties of Ellipse

Hyperbola and Conjugate Hyperbola & Doubt Clearing

Equation of Tangents and Normals to Hyperbola

Asymptotes and Rectangular Hyperbola

Miscellaneous Discussion & Doubt Clearing

Permutations and Combinations

Distributions and Selections

Grouping Methods and Begger's Method

Geometrical Problems and Circular Permutations

Dearrangements and multinomial Theorem & Doubt Clearing

Binomial Theorem Introduction and Binomial Coefficients

Properties of binomial Coefficient and Greatest Term

Binomial Series Summation Concept & Problems

Miscellaneous Series & Binomial theorem for any index

Multinomial Theorem & Inclusion Exclusion Principle & Doubt Clearing

Introduction and Geometrical Representation of Complex Numbers

Geometry and Concept of Rotation of Complex Numbers

De Moivre's Theorem and Cube Roots of Unity

Modulus and Argument of Complex Numbers

Complex Equations and Miscellaneous & Doubt Clearing

Quadratic Equations and Nature of Roots

Common Roots, Identities and Graphs

Location of Roots

Trigonometric Ratios of Compound Angles & Doubt Clearing

Transformational Formulas

Trigonometric Series and Conditional Identities

Trigonometric Equations

Graphs and Inequalities

Solutions of Triangle & Doubt Clearing

Orientation & Set Theory - Types of Sets and Subsets

Concept of Relations & Functions

Domain and Range of Functions

Different Type of Functions & Doubt Clearing

Statistics - Part I

Statistics - Part II

Sequences Series

Straight Lines & Doubt Clearing

Conic Section - Part I

Conic Section - Part II

Complex Numbers

Binomial Theorem & Doubt Clearing

Permutations Combinations

Quadratic Equations and Statistics

Circles

Trigonometry - Part I

Trigonometry - Part II & Doubt Clearing

Arithmetic Progression

Geometric Progression

AM GM Inequalities and AGP

Difference Method and Telescopic Series & Doubt Clearing

Quadratic Equations

Complex Numbers

Trigonometry

Sequences Series & Doubt Clearing Session

Permutations Combinations

Binomial Theorem

Straight Lines and Circles

Conic Section

Statistics & Doubt Clearing Session

Quadratic Equations Part 3

Permutations Combinations Part 3

Binomial Theorem - Part I

Binomial Theorem - Part II & Doubt Clearing

Binomial Theorem - Part III

Sequences Series - Part I

Sequences Series - Part II

Sequences Series - Part III & Doubt Clearing

Complex Numbers - Part I

Complex Numbers - Part II

Complex Numbers - Part III

Statistics & Doubt Clearing

Quadratic Equations - Part I

Quadratic Equations - Part II

Permutations Combinations - Part I

Permutations Combinations - Part II & Doubt Clearing

Straight Lines and Circles

Conic Section - Part I

Conic Section - Part II

Complex Numbers & Doubt Clearing

Binomial Theorem

Permutations Combinations

Quadratic Equations and Statistics

Sequences Series

Trigonometry & Doubt Clearing

Straight Lines - Part I

Straight Lines - Part II

Circles - Part I

Circles - Part II & Doubt Clearing

Parabola - Part I

Parabola - Part II

Ellipse - Part I

Ellipse - Part II

Hyperbola - Part I & Doubt Clearing

Hyperbola - Part II

Miscellaneous - Geometry

Trigonometry - Part III & Doubt Clearing

Trigonometry - Part II

Trigonometry - Part I

Definitions and Algebra of Events

Different Types of Events and Axiomatic Approach to Probability

Classical Definition of Probability and Conditional Probability

Bayes theorem and Total Probability Theorem & Doubt Clearing

Binomial Distribution and Bernoulli's Trials

Statistical Tree Diagram and Practical use of Probability

Miscellaneous & PYQs on Probability - I

Miscellaneous & PYQs on Probability - II & Doubt Clearing

Matrices & Determinants - Part I : Algebra of Matrices and Special Matrices

Matrices & Determinants - Part II : Properties of Determinants

Matrices & Determinants - Part VIII & Doubt Clearing

Matrices & Determinants - Part III :Properties of Determinants

Matrices & Determinants - Part IV : Properties of Determinants

Matrices & Determinants - Part V & Doubt Clearing Session

Matrices & Determinants - Part VI :Adjoint and System of Linear Equations

Matrices & Determinants - Part VII: Characteristic Equations and Cayley Hamilton Theorem

Matrices & Determinants - Part IX Miscellaneous

Matrices & Determinants - Part X Miscellaneous Determinants

Matrices & Determinants - Part XI PYQs

Basics of Relations

Functions

Domain of a Function

Range of a Function & Doubt Clearing

Graphs and Graph Transformations

Important Graphs

Miscellaneous Concepts in Calculus & Doubt Clearing

Vectors - Types and Algebra

Dot Product and Cross Product of Vectors

4 Vector Scalar and vector product & Reciprocal system of vectors

Linear Dependence and Independence of Vectors

Miscellaneous Topics on Vectors & Doubt Clearing

Equation of Straight Lines in 3D

Foot of Perpendicular and Shortest Distance Between skew lines

Equations of Planes in Different Forms

Image of a point and Family of Planes

Perpendicular Distances and Asymmetric Form & Doubt Clearing

Relations and Types of Relations

Functions - Domain and Range

Functions - Types of Functions

Functions - Modulus Functions & Doubt Clearing

Functions - Greatest Integer and Fractional Part

Functions - Exponential and Logarithmic Functions

Even Odd Functions

Periodic Functions & Doubt Clearing

Composite Functions and Inverse Functions

Functional Equations

Advanced Graph Trasnformations

Relations and Functions Previous Year Problems & Doubt Clearing

Inverse Trigonometric Functions - Concept

Properties of ITF

ITF Equations and Inequations

Inverse Trigonometric Functions - Miscellaneous

Inverse Trigonometry Previous Year Problems & Doubt Clearing

Concept and Algebra of Limits

Methods of Evaluation of Limits - Part I

Methods of Evaluation of Limits - Part II

L'Hopital Rule and Sandwich Theorem & Doubt Clearing

Miscellaneous Concepts in Limits

Continuity of Functions

Types of Discontinuities

Theorems on Continuity of Functions and & Doubt Clearing

Differentiability of a Function

Differentiability in an Interval and Theorems

Differentiability and Continuity

Methods of Differentiation - Part I & Doubt Clearing

Methods of Differentiation - Part II

Rolle's Theorem and LMVT

Miscellaneous Problems and PYQs - Part I

Miscellaneous Problems and PYQs - Part II & Doubt Clearing

Introduction and Rate Measure

Monotonicity of a Function

Problems on Monotonicity

Tangents and Normals & Doubt Clearing

Problems on Tangents and Normals

Maxima Minima and Tests

Inflection Points and Concavity

Cubic Polynomials and Graph Plotting & Doubt Clearing

Problems on Maxima Minima

Miscellaneous Problems - Part I

Miscellaneous Problems - Part II

Concluding Differential Calculus

Elementary Integration

Substitution Method of Integration

Integration of Standard Functions

Integration by Partial Fractions & Doubt Clearing

Integration by Parts

Miscellaneous Integrals

Definite Integration - Concept

Properties of Definite Integrals & Doubt Clearing

Definite Integration of Even Odd & Periodic Functions

Leibnitz Rule and Walli's Theorem

Definite Integral as Limit of Sum

Reduction Formula & Miscellaneous Integrals & Doubt Clearing

Applications of Integrals- Introduction

Area Bounded Between Curves

Problems Based on Area Under Curves

Area Under Curves-Conclusion & Doubt Clearing

Miscellaneous Concepts in Applications of Integrals

Differential Equations-Degree and order

Formation and Solutions of Differential Equations

Variable Separable Form & Homogeneous Equations

Linear Differential Equation & Doubt Clearing

Exact Differential Equations and Word Problems

Miscellaneous Problems and Doubt Clearing

Integration - Part I

Integration - Part II

Integration - Part III

Integration - Part IV & Doubt Clearing

Area Under Curves

Differential Equations - Part I

Differential Equations - Part II

Differential Equations - Part III & Doubt Clearing

Functions & ITF - Part I

Functions & ITF - Part II

Functions ITF - Part III

Limits, Continuity, Differentiability - Part I & Doubt Clearing

Applications of Derivatives - Part I

Limits, Continuity, Differentiability - Part II

Limits, Continuity, Differentiability - Part III

Applications of Derivatives - Part II & Doubt Clearing

Permutation Combinations

Sequences Series

Trigonometry

Binomial Theorem & Doubt Clearing

Quadratic Equations

Probability - Part I

Probability - Part II

Vectors and 3D Geometry & Doubt Clearing

Integration

Area under Curves

Differential Equations

Complex Numbers

Matrices Determinants - Part I

Matrices Determinants - Part II & Doubt Clearing

Complex Numbers

Straight Lines & Circles

Conic Section

Matrices Determinants

Trigonometry

Permutations Combinations

Binomial Theorem

Probability

Sequences Series

Relations, Functions, ITF

Limits, Continuity, Differentiability

MOD and AOD

Integration

Area under Curves and Differential Equations

Quadratic Equations and Statistics

Vectors & 3D Geometry