jee

JEE Main & Advanced Mathematics (Comprehensive Live Masterclass)

Official Syllabus-Aligned Live Masterclass for JEE Main & Advanced 2027 covering all units in strict PDF sequence across 52 Live Sessions (Tuesday & Sunday @ 5:30 PM). Includes Theory Outlines, DPPs, and 50-Marks Checkpoint Quizzes.

H

Instructor

Hiranmoy Mandal

165 Lessons
1 Year Access
Certificate
Structured Learning Path

Course Curriculum & Modules

65 Modules 165 Lessons 0 mins 5 Free Previews
📁 Completed Units Archive (Already Covered)
9 items
✅ [Completed] Basic Mathematics, Number Systems & Logarithms (Completed)

Covered Topics: Inequalities, wavy curve method, modulus properties, logarithmic definitions, laws and log equations.

✅ [Completed] Sets & Set Operations (Completed)

Covered Topics: Representation of sets, subsets, power set, Venn diagrams, union, intersection, complement, Cartesian products.

✅ [Completed] Trigonometric Ratios & Identities (Completed)

Covered Topics: Trigonometric functions, ASTC rule, compound angles, multiple & sub-multiple angles, product-sum transformations, trigonometric equations.

✅ [Completed] Quadratic Equations & Roots Analysis (Completed)

Covered Topics: Real and complex roots, relation between roots and coefficients, nature of roots, common roots, and location of roots conditions.

✅ [Completed] Complex Numbers — Part I (Completed)

Covered Topics: Ordered pairs of reals, Argand plane, modulus, conjugate, argument, polar and Euler forms, triangle inequalities.

✅ [Completed] Sequences and Series (AP, GP, AM-GM) (Completed)

Covered Topics: Arithmetic & Geometric Progressions (AP & GP), insertion of AMs and GMs, AM-GM inequality, telescoping summation method.

✅ [Completed] Binomial Theorem and Its Simple Applications (Completed)

Covered Topics: Binomial theorem for positive integral index, general term, middle term, binomial coefficient series, divisibility applications.

🎯 Cumulative Exam: Sequences & Series, Complex Numbers & Binomial Theorem (100 Marks)

Comprehensive 100-mark assessment covering Sequences & Series, Complex Numbers, and Binomial Theorem with full solutions.

🎯 Mock Exam: Binomial Theorem, P&C, Sequences & Series (100 Marks)

Comprehensive 100-mark assessment covering Binomial Theorem, Permutations & Combinations, and Sequences & Series with full solutions and step-by-step proofs.

Unit 4: Permutations and Combinations (ONGOING)
4 items
Lecture 01 (25 Aug 2026 (Tue)): Combinations nCr & Selection Principles
3 items
1. Lecture Note & Conceptual Overview: Combinations nCr & Selection Principles

Core Theory and Mathematical Foundations for Lecture 01

2. Daily Practice Problem (DPP) & Practice Sheet: Combinations nCr & Selection Principles

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 01: Combinations nCr & Selection Principles (50 Marks — 25 Aug 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 01 (25 Aug 2026 (Tue)).

Lecture 02 (30 Aug 2026 (Sun)): Permutations nPr & String/Gap Methods
3 items
1. Lecture Note & Conceptual Overview: Permutations nPr & String/Gap Methods

Core Theory and Mathematical Foundations for Lecture 02

2. Daily Practice Problem (DPP) & Practice Sheet: Permutations nPr & String/Gap Methods

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 02: Permutations nPr & String/Gap Methods (50 Marks — 30 Aug 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 02 (30 Aug 2026 (Sun)).

Lecture 03 (01 Sep 2026 (Tue)): Distribution of Objects & Beggar's Method
3 items
1. Lecture Note & Conceptual Overview: Distribution of Objects & Beggar's Method

Core Theory and Mathematical Foundations for Lecture 03

2. Daily Practice Problem (DPP) & Practice Sheet: Distribution of Objects & Beggar's Method

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 03: Distribution of Objects & Beggar's Method (50 Marks — 01 Sep 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 03 (01 Sep 2026 (Tue)).

Lecture 04 (06 Sep 2026 (Sun)): Circular Permutations, Derangements & JEE Advanced
3 items
1. Lecture Note & Conceptual Overview: Circular Permutations, Derangements & JEE Advanced

Core Theory and Mathematical Foundations for Lecture 04

2. Daily Practice Problem (DPP) & Practice Sheet: Circular Permutations, Derangements & JEE Advanced

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 04: Circular Permutations, Derangements & JEE Advanced (50 Marks — 06 Sep 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 04 (06 Sep 2026 (Sun)).

Unit 3: Matrices and Determinants
3 items
Lecture 05 (08 Sep 2026 (Tue)): Matrices: Algebra, Types & Operations
3 items
1. Lecture Note & Conceptual Overview: Matrices: Algebra, Types & Operations

Core Theory and Mathematical Foundations for Lecture 05

2. Daily Practice Problem (DPP) & Practice Sheet: Matrices: Algebra, Types & Operations

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 05: Matrices: Algebra, Types & Operations (50 Marks — 08 Sep 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 05 (08 Sep 2026 (Tue)).

Lecture 06 (13 Sep 2026 (Sun)): Determinants: Properties, Adjoint & Inverse
3 items
1. Lecture Note & Conceptual Overview: Determinants: Properties, Adjoint & Inverse

Core Theory and Mathematical Foundations for Lecture 06

2. Daily Practice Problem (DPP) & Practice Sheet: Determinants: Properties, Adjoint & Inverse

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 06: Determinants: Properties, Adjoint & Inverse (50 Marks — 13 Sep 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 06 (13 Sep 2026 (Sun)).

Lecture 07 (15 Sep 2026 (Tue)): System of Linear Equations (Cramer's Rule)
3 items
1. Lecture Note & Conceptual Overview: System of Linear Equations (Cramer's Rule)

Core Theory and Mathematical Foundations for Lecture 07

2. Daily Practice Problem (DPP) & Practice Sheet: System of Linear Equations (Cramer's Rule)

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 07: System of Linear Equations (Cramer's Rule) (50 Marks — 15 Sep 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 07 (15 Sep 2026 (Tue)).

Unit 1: Relations and Functions (Mapping & Inverse)
3 items
Lecture 08 (20 Sep 2026 (Sun)): Relations: Types & Equivalence Relations
3 items
1. Lecture Note & Conceptual Overview: Relations: Types & Equivalence Relations

Core Theory and Mathematical Foundations for Lecture 08

2. Daily Practice Problem (DPP) & Practice Sheet: Relations: Types & Equivalence Relations

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 08: Relations: Types & Equivalence Relations (50 Marks — 20 Sep 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 08 (20 Sep 2026 (Sun)).

Lecture 09 (22 Sep 2026 (Tue)): Functions: Domain, Range & Mapping Classifications
3 items
1. Lecture Note & Conceptual Overview: Functions: Domain, Range & Mapping Classifications

Core Theory and Mathematical Foundations for Lecture 09

2. Daily Practice Problem (DPP) & Practice Sheet: Functions: Domain, Range & Mapping Classifications

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 09: Functions: Domain, Range & Mapping Classifications (50 Marks — 22 Sep 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 09 (22 Sep 2026 (Tue)).

Lecture 10 (27 Sep 2026 (Sun)): Composite Functions, Inverse & Graph Transformations
3 items
1. Lecture Note & Conceptual Overview: Composite Functions, Inverse & Graph Transformations

Core Theory and Mathematical Foundations for Lecture 10

2. Daily Practice Problem (DPP) & Practice Sheet: Composite Functions, Inverse & Graph Transformations

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 10: Composite Functions, Inverse & Graph Transformations (50 Marks — 27 Sep 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 10 (27 Sep 2026 (Sun)).

Unit 7: Limit, Continuity and Differentiability (Differential Calculus)
10 items
Lecture 11 (29 Sep 2026 (Tue)): Limits of Functions & Standard Indeterminate Forms
3 items
1. Lecture Note & Conceptual Overview: Limits of Functions & Standard Indeterminate Forms

Core Theory and Mathematical Foundations for Lecture 11

2. Daily Practice Problem (DPP) & Practice Sheet: Limits of Functions & Standard Indeterminate Forms

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 11: Limits of Functions & Standard Indeterminate Forms (50 Marks — 29 Sep 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 11 (29 Sep 2026 (Tue)).

Lecture 12 (04 Oct 2026 (Sun)): Exponential Limits (1^inf) & Squeeze Theorem
3 items
1. Lecture Note & Conceptual Overview: Exponential Limits (1^inf) & Squeeze Theorem

Core Theory and Mathematical Foundations for Lecture 12

2. Daily Practice Problem (DPP) & Practice Sheet: Exponential Limits (1^inf) & Squeeze Theorem

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 12: Exponential Limits (1^inf) & Squeeze Theorem (50 Marks — 04 Oct 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 12 (04 Oct 2026 (Sun)).

Lecture 13 (06 Oct 2026 (Tue)): Continuity of Functions & Discontinuities
3 items
1. Lecture Note & Conceptual Overview: Continuity of Functions & Discontinuities

Core Theory and Mathematical Foundations for Lecture 13

2. Daily Practice Problem (DPP) & Practice Sheet: Continuity of Functions & Discontinuities

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 13: Continuity of Functions & Discontinuities (50 Marks — 06 Oct 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 13 (06 Oct 2026 (Tue)).

Lecture 14 (11 Oct 2026 (Sun)): Differentiability of Functions & Corner Points
3 items
1. Lecture Note & Conceptual Overview: Differentiability of Functions & Corner Points

Core Theory and Mathematical Foundations for Lecture 14

2. Daily Practice Problem (DPP) & Practice Sheet: Differentiability of Functions & Corner Points

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 14: Differentiability of Functions & Corner Points (50 Marks — 11 Oct 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 14 (11 Oct 2026 (Sun)).

Lecture 15 (13 Oct 2026 (Tue)): Rules of Differentiation & Composite Functions
3 items
1. Lecture Note & Conceptual Overview: Rules of Differentiation & Composite Functions

Core Theory and Mathematical Foundations for Lecture 15

2. Daily Practice Problem (DPP) & Practice Sheet: Rules of Differentiation & Composite Functions

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 15: Rules of Differentiation & Composite Functions (50 Marks — 13 Oct 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 15 (13 Oct 2026 (Tue)).

Lecture 16 (18 Oct 2026 (Sun)): Implicit, Parametric & Higher Order Derivatives
3 items
1. Lecture Note & Conceptual Overview: Implicit, Parametric & Higher Order Derivatives

Core Theory and Mathematical Foundations for Lecture 16

2. Daily Practice Problem (DPP) & Practice Sheet: Implicit, Parametric & Higher Order Derivatives

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 16: Implicit, Parametric & Higher Order Derivatives (50 Marks — 18 Oct 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 16 (18 Oct 2026 (Sun)).

Lecture 17 (20 Oct 2026 (Tue)): Applications of Derivatives: Rate Measure, Tangents & Normals
3 items
1. Lecture Note & Conceptual Overview: Applications of Derivatives: Rate Measure, Tangents & Normals

Core Theory and Mathematical Foundations for Lecture 17

2. Daily Practice Problem (DPP) & Practice Sheet: Applications of Derivatives: Rate Measure, Tangents & Normals

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 17: Applications of Derivatives: Rate Measure, Tangents & Normals (50 Marks — 20 Oct 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 17 (20 Oct 2026 (Tue)).

Lecture 18 (25 Oct 2026 (Sun)): Monotonicity: Strictly Increasing & Decreasing Functions
3 items
1. Lecture Note & Conceptual Overview: Monotonicity: Strictly Increasing & Decreasing Functions

Core Theory and Mathematical Foundations for Lecture 18

2. Daily Practice Problem (DPP) & Practice Sheet: Monotonicity: Strictly Increasing & Decreasing Functions

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 18: Monotonicity: Strictly Increasing & Decreasing Functions (50 Marks — 25 Oct 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 18 (25 Oct 2026 (Sun)).

Lecture 19 (27 Oct 2026 (Tue)): Mean Value Theorems (Rolle's & LMVT)
3 items
1. Lecture Note & Conceptual Overview: Mean Value Theorems (Rolle's & LMVT)

Core Theory and Mathematical Foundations for Lecture 19

2. Daily Practice Problem (DPP) & Practice Sheet: Mean Value Theorems (Rolle's & LMVT)

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 19: Mean Value Theorems (Rolle's & LMVT) (50 Marks — 27 Oct 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 19 (27 Oct 2026 (Tue)).

Lecture 20 (01 Nov 2026 (Sun)): Maxima & Minima: Local Extrema & Applied Optimization
3 items
1. Lecture Note & Conceptual Overview: Maxima & Minima: Local Extrema & Applied Optimization

Core Theory and Mathematical Foundations for Lecture 20

2. Daily Practice Problem (DPP) & Practice Sheet: Maxima & Minima: Local Extrema & Applied Optimization

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 20: Maxima & Minima: Local Extrema & Applied Optimization (50 Marks — 01 Nov 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 20 (01 Nov 2026 (Sun)).

Unit 8: Integral Calculus
6 items
Lecture 21 (03 Nov 2026 (Tue)): Fundamental Anti-derivatives & Method of Substitution
3 items
1. Lecture Note & Conceptual Overview: Fundamental Anti-derivatives & Method of Substitution

Core Theory and Mathematical Foundations for Lecture 21

2. Daily Practice Problem (DPP) & Practice Sheet: Fundamental Anti-derivatives & Method of Substitution

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 21: Fundamental Anti-derivatives & Method of Substitution (50 Marks — 03 Nov 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 21 (03 Nov 2026 (Tue)).

Lecture 22 (08 Nov 2026 (Sun)): Integration by Parts & Special Quadratic Integrals
3 items
1. Lecture Note & Conceptual Overview: Integration by Parts & Special Quadratic Integrals

Core Theory and Mathematical Foundations for Lecture 22

2. Daily Practice Problem (DPP) & Practice Sheet: Integration by Parts & Special Quadratic Integrals

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 22: Integration by Parts & Special Quadratic Integrals (50 Marks — 08 Nov 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 22 (08 Nov 2026 (Sun)).

Lecture 23 (10 Nov 2026 (Tue)): Partial Fractions & Advanced Trigonometric Integrals
3 items
1. Lecture Note & Conceptual Overview: Partial Fractions & Advanced Trigonometric Integrals

Core Theory and Mathematical Foundations for Lecture 23

2. Daily Practice Problem (DPP) & Practice Sheet: Partial Fractions & Advanced Trigonometric Integrals

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 23: Partial Fractions & Advanced Trigonometric Integrals (50 Marks — 10 Nov 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 23 (10 Nov 2026 (Tue)).

Lecture 24 (15 Nov 2026 (Sun)): Definite Integrals & King's Property
3 items
1. Lecture Note & Conceptual Overview: Definite Integrals & King's Property

Core Theory and Mathematical Foundations for Lecture 24

2. Daily Practice Problem (DPP) & Practice Sheet: Definite Integrals & King's Property

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 24: Definite Integrals & King's Property (50 Marks — 15 Nov 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 24 (15 Nov 2026 (Sun)).

Lecture 25 (17 Nov 2026 (Tue)): Leibniz Integral Rule & Riemann Sums (Limit of a Sum)
3 items
1. Lecture Note & Conceptual Overview: Leibniz Integral Rule & Riemann Sums (Limit of a Sum)

Core Theory and Mathematical Foundations for Lecture 25

2. Daily Practice Problem (DPP) & Practice Sheet: Leibniz Integral Rule & Riemann Sums (Limit of a Sum)

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 25: Leibniz Integral Rule & Riemann Sums (Limit of a Sum) (50 Marks — 17 Nov 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 25 (17 Nov 2026 (Tue)).

Lecture 26 (22 Nov 2026 (Sun)): Area Under Curves (Bounded Regions)
3 items
1. Lecture Note & Conceptual Overview: Area Under Curves (Bounded Regions)

Core Theory and Mathematical Foundations for Lecture 26

2. Daily Practice Problem (DPP) & Practice Sheet: Area Under Curves (Bounded Regions)

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 26: Area Under Curves (Bounded Regions) (50 Marks — 22 Nov 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 26 (22 Nov 2026 (Sun)).

Unit 9: Differential Equations
4 items
Lecture 27 (24 Nov 2026 (Tue)): Order, Degree & Formation of Differential Equations
3 items
1. Lecture Note & Conceptual Overview: Order, Degree & Formation of Differential Equations

Core Theory and Mathematical Foundations for Lecture 27

2. Daily Practice Problem (DPP) & Practice Sheet: Order, Degree & Formation of Differential Equations

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 27: Order, Degree & Formation of Differential Equations (50 Marks — 24 Nov 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 27 (24 Nov 2026 (Tue)).

Lecture 28 (29 Nov 2026 (Sun)): Separation of Variables & Homogeneous Equations
3 items
1. Lecture Note & Conceptual Overview: Separation of Variables & Homogeneous Equations

Core Theory and Mathematical Foundations for Lecture 28

2. Daily Practice Problem (DPP) & Practice Sheet: Separation of Variables & Homogeneous Equations

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 28: Separation of Variables & Homogeneous Equations (50 Marks — 29 Nov 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 28 (29 Nov 2026 (Sun)).

Lecture 29 (01 Dec 2026 (Tue)): Linear Differential Equations (LDE) & Integrating Factor
3 items
1. Lecture Note & Conceptual Overview: Linear Differential Equations (LDE) & Integrating Factor

Core Theory and Mathematical Foundations for Lecture 29

2. Daily Practice Problem (DPP) & Practice Sheet: Linear Differential Equations (LDE) & Integrating Factor

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 29: Linear Differential Equations (LDE) & Integrating Factor (50 Marks — 01 Dec 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 29 (01 Dec 2026 (Tue)).

Lecture 30 (06 Dec 2026 (Sun)): Exact Equations & Applied Growth/Decay Models
3 items
1. Lecture Note & Conceptual Overview: Exact Equations & Applied Growth/Decay Models

Core Theory and Mathematical Foundations for Lecture 30

2. Daily Practice Problem (DPP) & Practice Sheet: Exact Equations & Applied Growth/Decay Models

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 30: Exact Equations & Applied Growth/Decay Models (50 Marks — 06 Dec 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 30 (06 Dec 2026 (Sun)).

Unit 10: Co-ordinate Geometry
7 items
Lecture 31 (08 Dec 2026 (Tue)): Cartesian Plane, Locus & Straight Line Equations
3 items
1. Lecture Note & Conceptual Overview: Cartesian Plane, Locus & Straight Line Equations

Core Theory and Mathematical Foundations for Lecture 31

2. Daily Practice Problem (DPP) & Practice Sheet: Cartesian Plane, Locus & Straight Line Equations

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 31: Cartesian Plane, Locus & Straight Line Equations (50 Marks — 08 Dec 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 31 (08 Dec 2026 (Tue)).

Lecture 32 (13 Dec 2026 (Sun)): Angles, Perpendicular Distance & Family of Lines
3 items
1. Lecture Note & Conceptual Overview: Angles, Perpendicular Distance & Family of Lines

Core Theory and Mathematical Foundations for Lecture 32

2. Daily Practice Problem (DPP) & Practice Sheet: Angles, Perpendicular Distance & Family of Lines

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 32: Angles, Perpendicular Distance & Family of Lines (50 Marks — 13 Dec 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 32 (13 Dec 2026 (Sun)).

Lecture 33 (15 Dec 2026 (Tue)): Triangle Centres, Images & Angle Bisectors
3 items
1. Lecture Note & Conceptual Overview: Triangle Centres, Images & Angle Bisectors

Core Theory and Mathematical Foundations for Lecture 33

2. Daily Practice Problem (DPP) & Practice Sheet: Triangle Centres, Images & Angle Bisectors

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 33: Triangle Centres, Images & Angle Bisectors (50 Marks — 15 Dec 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 33 (15 Dec 2026 (Tue)).

Lecture 34 (20 Dec 2026 (Sun)): Circle Equations: Standard, General & Diameter Forms
3 items
1. Lecture Note & Conceptual Overview: Circle Equations: Standard, General & Diameter Forms

Core Theory and Mathematical Foundations for Lecture 34

2. Daily Practice Problem (DPP) & Practice Sheet: Circle Equations: Standard, General & Diameter Forms

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 34: Circle Equations: Standard, General & Diameter Forms (50 Marks — 20 Dec 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 34 (20 Dec 2026 (Sun)).

Lecture 35 (22 Dec 2026 (Tue)): Line-Circle Tangency, Normals & Chord of Contact
3 items
1. Lecture Note & Conceptual Overview: Line-Circle Tangency, Normals & Chord of Contact

Core Theory and Mathematical Foundations for Lecture 35

2. Daily Practice Problem (DPP) & Practice Sheet: Line-Circle Tangency, Normals & Chord of Contact

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 35: Line-Circle Tangency, Normals & Chord of Contact (50 Marks — 22 Dec 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 35 (22 Dec 2026 (Tue)).

Lecture 36 (27 Dec 2026 (Sun)): Parabola: Standard Forms, Tangents & Properties
3 items
1. Lecture Note & Conceptual Overview: Parabola: Standard Forms, Tangents & Properties

Core Theory and Mathematical Foundations for Lecture 36

2. Daily Practice Problem (DPP) & Practice Sheet: Parabola: Standard Forms, Tangents & Properties

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 36: Parabola: Standard Forms, Tangents & Properties (50 Marks — 27 Dec 2026 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 36 (27 Dec 2026 (Sun)).

Lecture 37 (29 Dec 2026 (Tue)): Ellipse & Hyperbola: Standard Forms, Eccentricity & Tangents
3 items
1. Lecture Note & Conceptual Overview: Ellipse & Hyperbola: Standard Forms, Eccentricity & Tangents

Core Theory and Mathematical Foundations for Lecture 37

2. Daily Practice Problem (DPP) & Practice Sheet: Ellipse & Hyperbola: Standard Forms, Eccentricity & Tangents

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 37: Ellipse & Hyperbola: Standard Forms, Eccentricity & Tangents (50 Marks — 29 Dec 2026 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 37 (29 Dec 2026 (Tue)).

Unit 11: Three Dimensional Geometry
3 items
Lecture 38 (03 Jan 2027 (Sun)): Direction Cosines, Direction Ratios & Line in 3D
3 items
1. Lecture Note & Conceptual Overview: Direction Cosines, Direction Ratios & Line in 3D

Core Theory and Mathematical Foundations for Lecture 38

2. Daily Practice Problem (DPP) & Practice Sheet: Direction Cosines, Direction Ratios & Line in 3D

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 38: Direction Cosines, Direction Ratios & Line in 3D (50 Marks — 03 Jan 2027 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 38 (03 Jan 2027 (Sun)).

Lecture 39 (05 Jan 2027 (Tue)): Intersection of Lines & Angle in 3D Space
3 items
1. Lecture Note & Conceptual Overview: Intersection of Lines & Angle in 3D Space

Core Theory and Mathematical Foundations for Lecture 39

2. Daily Practice Problem (DPP) & Practice Sheet: Intersection of Lines & Angle in 3D Space

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 39: Intersection of Lines & Angle in 3D Space (50 Marks — 05 Jan 2027 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 39 (05 Jan 2027 (Tue)).

Lecture 40 (10 Jan 2027 (Sun)): Skew Lines & Shortest Distance (SD) Theorem
3 items
1. Lecture Note & Conceptual Overview: Skew Lines & Shortest Distance (SD) Theorem

Core Theory and Mathematical Foundations for Lecture 40

2. Daily Practice Problem (DPP) & Practice Sheet: Skew Lines & Shortest Distance (SD) Theorem

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 40: Skew Lines & Shortest Distance (SD) Theorem (50 Marks — 10 Jan 2027 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 40 (10 Jan 2027 (Sun)).

Unit 12: Vector Algebra
2 items
Lecture 41 (12 Jan 2027 (Tue)): Vector Basics, Operations & Dot (Scalar) Product
3 items
1. Lecture Note & Conceptual Overview: Vector Basics, Operations & Dot (Scalar) Product

Core Theory and Mathematical Foundations for Lecture 41

2. Daily Practice Problem (DPP) & Practice Sheet: Vector Basics, Operations & Dot (Scalar) Product

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 41: Vector Basics, Operations & Dot (Scalar) Product (50 Marks — 12 Jan 2027 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 41 (12 Jan 2027 (Tue)).

Lecture 42 (17 Jan 2027 (Sun)): Cross (Vector) Product & Scalar Triple Product
3 items
1. Lecture Note & Conceptual Overview: Cross (Vector) Product & Scalar Triple Product

Core Theory and Mathematical Foundations for Lecture 42

2. Daily Practice Problem (DPP) & Practice Sheet: Cross (Vector) Product & Scalar Triple Product

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 42: Cross (Vector) Product & Scalar Triple Product (50 Marks — 17 Jan 2027 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 42 (17 Jan 2027 (Sun)).

Unit 13: Statistics and Probability
5 items
Lecture 43 (19 Jan 2027 (Tue)): Measures of Central Tendency & Mean Deviation
3 items
1. Lecture Note & Conceptual Overview: Measures of Central Tendency & Mean Deviation

Core Theory and Mathematical Foundations for Lecture 43

2. Daily Practice Problem (DPP) & Practice Sheet: Measures of Central Tendency & Mean Deviation

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 43: Measures of Central Tendency & Mean Deviation (50 Marks — 19 Jan 2027 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 43 (19 Jan 2027 (Tue)).

Lecture 44 (24 Jan 2027 (Sun)): Variance & Standard Deviation (JEE Shortcuts)
3 items
1. Lecture Note & Conceptual Overview: Variance & Standard Deviation (JEE Shortcuts)

Core Theory and Mathematical Foundations for Lecture 44

2. Daily Practice Problem (DPP) & Practice Sheet: Variance & Standard Deviation (JEE Shortcuts)

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 44: Variance & Standard Deviation (JEE Shortcuts) (50 Marks — 24 Jan 2027 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 44 (24 Jan 2027 (Sun)).

Lecture 45 (26 Jan 2027 (Tue)): Classical Probability, Addition & Multiplication Theorems
3 items
1. Lecture Note & Conceptual Overview: Classical Probability, Addition & Multiplication Theorems

Core Theory and Mathematical Foundations for Lecture 45

2. Daily Practice Problem (DPP) & Practice Sheet: Classical Probability, Addition & Multiplication Theorems

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 45: Classical Probability, Addition & Multiplication Theorems (50 Marks — 26 Jan 2027 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 45 (26 Jan 2027 (Tue)).

Lecture 46 (31 Jan 2027 (Sun)): Law of Total Probability & Bayes' Theorem
3 items
1. Lecture Note & Conceptual Overview: Law of Total Probability & Bayes' Theorem

Core Theory and Mathematical Foundations for Lecture 46

2. Daily Practice Problem (DPP) & Practice Sheet: Law of Total Probability & Bayes' Theorem

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 46: Law of Total Probability & Bayes' Theorem (50 Marks — 31 Jan 2027 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 46 (31 Jan 2027 (Sun)).

Lecture 47 (02 Feb 2027 (Tue)): Random Variables & Probability Distributions
3 items
1. Lecture Note & Conceptual Overview: Random Variables & Probability Distributions

Core Theory and Mathematical Foundations for Lecture 47

2. Daily Practice Problem (DPP) & Practice Sheet: Random Variables & Probability Distributions

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 47: Random Variables & Probability Distributions (50 Marks — 02 Feb 2027 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 47 (02 Feb 2027 (Tue)).

Unit 14: Inverse Trigonometric Functions (ITF Mastery)
2 items
Lecture 48 (07 Feb 2027 (Sun)): Inverse Trig Functions: Domains & Principal Ranges
3 items
1. Lecture Note & Conceptual Overview: Inverse Trig Functions: Domains & Principal Ranges

Core Theory and Mathematical Foundations for Lecture 48

2. Daily Practice Problem (DPP) & Practice Sheet: Inverse Trig Functions: Domains & Principal Ranges

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 48: Inverse Trig Functions: Domains & Principal Ranges (50 Marks — 07 Feb 2027 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 48 (07 Feb 2027 (Sun)).

Lecture 49 (09 Feb 2027 (Tue)): ITF Algebraic Properties & Telescoping Series
3 items
1. Lecture Note & Conceptual Overview: ITF Algebraic Properties & Telescoping Series

Core Theory and Mathematical Foundations for Lecture 49

2. Daily Practice Problem (DPP) & Practice Sheet: ITF Algebraic Properties & Telescoping Series

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 49: ITF Algebraic Properties & Telescoping Series (50 Marks — 09 Feb 2027 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 49 (09 Feb 2027 (Tue)).

Milestone Full Mock Seminars & JEE Advanced Rank Booster
3 items
Lecture 50 (14 Feb 2027 (Sun)): High-Yield Algebra & Calculus Multi-Concept Sprint
3 items
1. Lecture Note & Conceptual Overview: High-Yield Algebra & Calculus Multi-Concept Sprint

Core Theory and Mathematical Foundations for Lecture 50

2. Daily Practice Problem (DPP) & Practice Sheet: High-Yield Algebra & Calculus Multi-Concept Sprint

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 50: High-Yield Algebra & Calculus Multi-Concept Sprint (50 Marks — 14 Feb 2027 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 50 (14 Feb 2027 (Sun)).

Lecture 51 (16 Feb 2027 (Tue)): Coordinate Geometry & 3D Vector Calculus Super-Sprint
3 items
1. Lecture Note & Conceptual Overview: Coordinate Geometry & 3D Vector Calculus Super-Sprint

Core Theory and Mathematical Foundations for Lecture 51

2. Daily Practice Problem (DPP) & Practice Sheet: Coordinate Geometry & 3D Vector Calculus Super-Sprint

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 51: Coordinate Geometry & 3D Vector Calculus Super-Sprint (50 Marks — 16 Feb 2027 (Tue))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 51 (16 Feb 2027 (Tue)).

Lecture 52 (21 Feb 2027 (Sun)): JEE Advanced Multi-Correct & Full Syllabus Masterclass
3 items
1. Lecture Note & Conceptual Overview: JEE Advanced Multi-Correct & Full Syllabus Masterclass

Core Theory and Mathematical Foundations for Lecture 52

2. Daily Practice Problem (DPP) & Practice Sheet: JEE Advanced Multi-Correct & Full Syllabus Masterclass

Graded homework problem sets with Level 1, Level 2 & Level 3 exercises.

3. Checkpoint Quiz 52: JEE Advanced Multi-Correct & Full Syllabus Masterclass (50 Marks — 21 Feb 2027 (Sun))

50-Marks Live Diagnostic Checkpoint Exam for Lecture 52 (21 Feb 2027 (Sun)).

JEE Main & Advanced Mathematics (Comprehensive Live Masterclass)
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