Here you will get all the video lectures chapter-wise and topic-wise for class 12 board exams (CBSE and All State Boards). All Chapters are Free of Cost on Youtube Channel and Unacademy Profile. Acces Directly from below links. Subscribe and follow for latest updates. Download youtube app and Unacademy app free if you are using mobile for best experience. I have also included few objective problems to help you in solving 20 Marks Objective Problems.

**Ch-1 Relations and Functions**

- Types of Relations – Reflexive and Symmetric
- Types of Relations – Transitive and Equivalence
- Solved Examples Relations – Set-1
- Solved Examples Set-2
- Previous Year CBSE Questions – Relations
- One-One Many One Functions Part-1
- One-One Many One Functions Part-2
- Injective and Surjective Functions for IIT-JEE (Summary)
- Inverse of a Function
- Composite Functions

Binary Operation is NOT in CBSE SYLLABUS

- Binary Operations – All you need to know
- Commutative and Associative Binary Operations
- Identity and Inverse of a Binary Operation
- Solved Examples and Previous Year Questions Binary Operations

**Ch-2 Inverse Trigonometry**

- Basics and Graphs of Inverse Trigonometric Functions (in Hindi)
- Property Set-1 and Set-2 with Examples on Basics of ITF (in Hindi)
- Property Set-3 and Examples (in Hindi)
- Property Set-5 and Examples (in Hindi)
- Properties Set-6 Addition of Tan inverse functions with examples
- Solving Equations involving Inverse Trigonometric functions
- Simplifying ITF questions using substitution and Trigonometry formulas

**Ch-3 Matrices **

- Matrix Basics and Order (in Hindi)
- Types of Matrices Part-1
- Types of Matrices Part-2
- Types of Matrices Part-3
- Equality of Matrices | Algebra
- Multiplication of Two Matrices – Product
- Examples on Product of 2 Matrices
- Properties of Matrix Multiplication
- Transpose of a Matrix
- Symmetric and Skew Symmetric Matrix
- Elementary Operations In a Matrix
- Inverse Of a Matrix using Elementary Operations
- Inverse of matrix using elementary Transformation Part-2

**Ch-4 Determinants**

- Basics of Determinants
- Minors and Cofactors
- Properties of Determinants
- Properties of Determinants Part-2
- Properties of Determinants Part-3
- Adjoint of a Matrix
- Properties of Adjoint of Matrix
- Inverse of Matrix By Adjoint Method
- Important Properties of Inverse of a Matrix
- Solving system of linear equations – Adjoint Method
- (Not in CBSE Syllabus) Crammer’s Rule To Solve Equations
- (Not in CBSE Syllabus) Crammer’s Rule Typical Advanced Problem

**Ch-5 Continuity and Differentiability**

- Continuity of a function
- Examples on Continuity of a Function at a point
- Continuity in an Open and Closed Interval
- Differentiability for IIT-JEE
- Examples on Differentiability of a function
- Understanding Differentiability from Graph with example
- Differentiation: Standard Formulas To Remember
- Solved Practice Problems DPP-1
- Product Rule In Differentiation
- Quotient Rule In Differentiation
- Solved Practice Problems DPP-2
- Chain Rule In Differentiation
- More Examples On Chain Rule
- Differentiation of Inverse Trigonometric Functions
- Differentiation of Implicit Functions
- Examples on Differentiation of Implicit Functions
- Trigonometric Substitution in Differentiation
- Parametric Differentiation Part-1
- Parametric Differentiation Part-2
- Differentiation of Exponential and logarithmic functions
- Good Problems on Differentiation Set-1
- Logarithmic Differentiation Part-1
- Logarithmic Differentiation Part-2
- Differentiation of one function w.r.t. another function
- Second Order Derivatives
- Second order derivative of Parametric functions
- Rolle’s Theorem
- Lagrange’s Mean Value Theorem
- Problems on Rolle’s Theorem and LMVT
- Infinite Series Differentiation

**Ch-6 Applications of Derivatives**

- Rate Measure : Applications of Derivatives (in Hindi)
- Rate Measure Advanced Examples (in Hindi)
- Monotonicity: Concept of Increasing Decreasing Functions (in Hindi)
- Examples on Monotonicity Part-1 (in Hindi)
- Tangents and Normals (AOD) Part-1
- Tangents and Normals Examples (Part-2)
- Tangents and Normals (Part-3)
- Solved Examples – Tangent Normals
- Angle of intersection of two curves
- Approximations (AOD) for CBSE
- Maxima Minima (Part-1)
- First Derivative Test (Part-2)
- Examples on First Derivative Test (Part-3)
- Second Derivative Test
- Solved Examples – Monotonicity and Maxima Minima

**Ch-7 Integration**

- Integration as Reverse Process of Differentiation (in Hindi)
- Important Formulas to Remember (in Hindi)
- Solved Examples Integration (in Hindi)
- Chain Rule in Integration (Linear Functions) (in Hindi)
- Method of Substitution Part-1
- Method of Substitution Part-2
- Integration by Parts (Part-1)
- Integration by Parts (Part-2)
- Integration by Parts (Part-3)
- Partial Fraction Method
- Examples on Partial Fraction Method
- Standard Formulas to solve Integration
- Examples on Standard Formulas
- Classic integral (Very Important)
- Three Important Formulas
- Special Integration Type – 1
- Special Type – 2 (x^4 Type)
- Special Type 2 More Examples
- Special Type – 3 Trigonometric functions in denominator
- Basics of Definite Integration (in Hindi)
- Examples Set-1 (in Hindi)
- Substitution Method in Definite Integrals (in Hindi)
- Properties of Definite Integrals (Part-1) (in Hindi)
- King’s Property in Definite Integral Part-2
- More properties on Definite Integrals Part-3
- Properties on Definite Integrals Part-4
- Properties on Definite Integrals Part-5
- Practice Questions – Definite Integration

**Ch-8 Applications of Integrals**

- Introduction-Basic Curves (in Hindi)
- Areas Bounded with X-axis (in Hindi)
- Areas Bounded with Y-Axis (in Hindi)
- Areas between Two Curves (in Hindi)
- Examples on Mixed Concepts (in Hindi)
- Areas with Inequalities

**Ch-9 Differential Equations**

- Differential Equations – Order and Degree (in Hindi)
- Formation of Differential Equations (in Hindi)
- Solution of Differential Equations (in Hindi)
- Variable Separable Form (in Hindi)
- Homogenous Differential Equations
- Linear Differential Equations for JEE Main and Advanced
- Examples on Linear Differential Equation

**Ch-10 Vectors**

- Introduction – Types of Vectors (in Hindi)
- Algebra of Vectors (in Hindi)
- Components of Vectors (in Hindi)
- Section Formula for Vectors (in Hindi)
- Dot / Scalar Product of Vectors (in Hindi)
- Properties of Scaler Product
- Condition of Perpendicularity
- Important Examples on Scaler Product
- Cross Product of Vectors
- Cross Product Part-2
- Cross Product of Vectors (Part-3)
- Scaler Triple Product of Vectors (Part-1)
- Scaler Triple Product (Part-2)
- Scaler Triple Product (Part -3)
- Scaler Triple Product (Part-4)
- Important Proofs Using Vectors for Class 12 Board Exams (Part-1)
- Important Proofs Using Vectors (Part-2)
- Important Proofs Using Vectors (Part-3)

**Ch-11 3D Geometry**

- 3-D Geometry Direction Ratios and Direction Cosines
- Angle between two lines and Examples
- Diagonals of a Cube
- Equation of Straight Lines in 3D Geometry
- Two Point Form of a Straight Line
- Image of a Point and Foot of Perpendicular
- Angle Between two Lines
- Shortest Distance between two lines and Distance between Parallel Lines
- Normal form of a Plane
- Examples on Normal Form
- Image of Point in a Plane
- Equation of Plane in Different Forms
- Distance of a point from a Plane
- Distance between Parallel Planes | Intercept Form of Plane
- Family of Planes
- Angle Between Two Planes
- Angle between Line and Plane
- Coplanarity of 2 Lines and Equation of Plane

**Ch-13 Probability**

- Basic but Important Definitions (in Hindi)
- Questions on Classical Probability (in Hindi)
- Odds in Favour | Odds Against (in Hindi)
- Set Theory in Probability (in Hindi)
- Conditional Probability
- Independent Events
- Bayes’ Theorem and Total Probability Theorem
- Questions on Bayes Theorem and Total Probability Theorem
- Questions on Bayes Theorem Part-2
- Random Variable, Probability Distribution, Mean, Variance, Standard Deviation
- Bernoulli’s Trials | Binomial Distribution (Not in CBSE Syllabus)
- Solved Practice Problems
- Solved Problems Set-2

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