Class 12 Subjects:Mathematics Science English Language Arts Social Studies & Civics Computer Science & AI

NCERT / CBSE Prescribed • 13 Chapters✓ Karnataka School Examination and Assessment Board Official Framework📚 13 Prescribed Chapters • English & Hindi Medium Videos

Class 12 Mathematics (गणित) - NCERT & Karnataka Board (KSEAB / PUC) Official Curriculum

Official syllabus prescribed by NCERT and followed across CBSE, CISCE, NIOS, and State Boards. Explore all 13 chapters in English Medium or Hindi Medium (हिंदी माध्यम) with dedicated video masterclasses.

Start Interactive Lesson (Solving Linear Equations in One Variable) →Academic Year 2026–27 • Verified Against Official Standards

🇮🇳 CLASS 12 OFFICIAL SYLLABUS✓ NCERT / CBSE Prescribed Curriculum📚 13 Prescribed Chapters

Class 12 Mathematics (गणित)

Official sequenced chapter syllabus prescribed by NCERT and followed across CBSE, CISCE, NIOS, and State Education Boards nationwide. Every chapter is mapped to dedicated video masterclasses.

📖 Official NCERT Textbook:NCERT Mathematics Class XII

⚡ Medium Mode: English Medium•13 Total Chapters with Dedicated Masterclass Videos

Chapter List & Video Masterclasses

13 of 13 Chapters

🔍

Chapter 1NCERT-C12M-CH01Official NCERT

Relations and Functions

संबंध एवं फलन

Types of relations: reflexive, symmetric, transitive, equivalence relations. Types of functions: one-one (injective), onto (surjective), bijective functions.

Key Concepts & Curriculum Points:

• Equivalence Relations & Equivalence Classes• Injective, Surjective & Bijective Functions• Composition of Functions & Invertible Functions

🇬🇧 English Medium Masterclass⏱ 1h 20m

Relations and Functions - Full Chapter Masterclass

Educator / Channel:Magnet Brains

Chapter 2NCERT-C12M-CH02Official NCERT

Inverse Trigonometric Functions

प्रतिलोम त्रिकोणमितीय फलन

Definition, range, domain, principal value branches of inverse trigonometric functions (sin⁻¹x, cos⁻¹x, tan⁻¹x), and elementary properties.

Key Concepts & Curriculum Points:

• Principal Value Branches of Inverse Trig Functions• Domain and Range Restrictions• Properties of Inverse Trigonometric Functions

🇬🇧 English Medium Masterclass⏱ 1h 25m

Inverse Trigonometric Functions - Full Chapter Masterclass

Educator / Channel:Magnet Brains

Chapter 3NCERT-C12M-CH03Official NCERT

Matrices

आव्यूह

Concept, notation, order, equality, types of matrices, addition, multiplication, transpose of a matrix, symmetric and skew symmetric matrices, and invertible matrices.

Key Concepts & Curriculum Points:

• Matrix Multiplication Rules & Non-Commutativity• Transpose of a Matrix (Aᵀ)• Symmetric & Skew-Symmetric Matrices (A = 1/2(A+Aᵀ) + 1/2(A-Aᵀ))• Invertible Matrices & Uniqueness of Inverse

🇬🇧 English Medium Masterclass⏱ 1h 15m

Matrices - Full Chapter Masterclass

Educator / Channel:Khan Academy India

Chapter 4NCERT-C12M-CH04Official NCERT

Determinants

सारणिक

Determinant of square matrix (up to 3 × 3), minors and cofactors, applications in finding area of triangle, adjoint and inverse of matrix, solving systems of linear equations.

Key Concepts & Curriculum Points:

• Minors and Cofactors (Mᵢⱼ, Aᵢⱼ)• Adjoint of a Matrix (adj A)• Inverse of Matrix: A⁻¹ = (1/|A|) adj A• Solving Linear System: X = A⁻¹ B (Matrix Method)

🇬🇧 English Medium Masterclass⏱ 1h 45m

Determinants - Full Chapter Masterclass

Educator / Channel:Magnet Brains

Chapter 5NCERT-C12M-CH05Official NCERT

Continuity & Differentiability

सांतत्य तथा अवकलनीयता

Continuity and differentiability, derivative of composite functions (chain rule), implicit functions, inverse trigonometric functions, exponential and logarithmic functions.

Key Concepts & Curriculum Points:

• Continuity at a Point & in an Interval• Chain Rule of Differentiation• Logarithmic Differentiation (y = uᵛ)• Second Order Derivatives (d²y/dx²)

🇬🇧 English Medium Masterclass⏱ 1h 15m

Continuity & Differentiability - Full Chapter Masterclass

Educator / Channel:Magnet Brains

Chapter 6NCERT-C12M-CH06Official NCERT

Application of Derivatives

अवकलज के अनुप्रयोग

Rate of change of quantities, increasing and decreasing functions, maxima and minima (first and second derivative tests), and simple real-world optimization problems.

Key Concepts & Curriculum Points:

• Rate of Change (dy/dt = dy/dx · dx/dt)• Increasing & Decreasing Intervals (f’(x) > 0)• Local Maxima & Minima (Second Derivative Test)• Optimization Word Problems (Geometry & Business)

🇬🇧 English Medium Masterclass⏱ 1h 10m

Application of Derivatives - Full Chapter Masterclass

Educator / Channel:Magnet Brains

Chapter 7NCERT-C12M-CH07Official NCERT

Integrals

समाकलन

Integration as inverse of differentiation, integration by substitution, partial fractions, and by parts. Fundamental Theorem of Calculus, and definite integral properties.

Key Concepts & Curriculum Points:

• Standard Integration Formulas• Integration by Substitution & by Parts (ILATE)• Integration by Partial Fractions• Definite Integrals & Properties: ∫₀ᵃ f(x)dx = ∫₀ᵃ f(a-x)dx

🇬🇧 English Medium Masterclass⏱ 1h 20m

Integrals - Full Chapter Masterclass

Educator / Channel:Vedantu CBSE 10th

Chapter 8NCERT-C12M-CH08Official NCERT

Application of Integrals

समाकलनों के अनुप्रयोग

Applications in finding area under simple curves, lines, circles, parabolas, and ellipses in standard form using definite integrals.

Key Concepts & Curriculum Points:

• Area Under Simple Curve: ∫ y dx or ∫ x dy• Area Between Line and Parabola/Circle• Symmetry in Finding Enclosed Areas

🇬🇧 English Medium Masterclass⏱ 1h 15m

Application of Integrals - Full Chapter Masterclass

Educator / Channel:Dear Sir

Chapter 9NCERT-C12M-CH09Official NCERT

Differential Equations

अवकल समीकरण

Order and degree of differential equation, general and particular solutions, variable separable method, homogeneous differential equations, and first order linear differential equations.

Key Concepts & Curriculum Points:

• Order & Degree of Differential Equations• Variable Separable Method• Homogeneous Differential Equations (y = vx)• Linear Differential Equations: dy/dx + Py = Q (Integrating Factor e^∫Pdx)

🇬🇧 English Medium Masterclass⏱ 1h 12m

Differential Equations - Full Chapter Masterclass

Educator / Channel:Dear Sir

Chapter 10NCERT-C12M-CH10Official NCERT

Vector Algebra

सदिश बीजगणित

Vectors and scalars, magnitude and direction, direction cosines and ratios, types of vectors, addition, scalar multiplication, dot product, and cross product of vectors.

Key Concepts & Curriculum Points:

• Direction Cosines & Ratios (l² + m² + n² = 1)• Dot Product: a · b = |a||b| cos θ & Projection• Cross Product: a × b = |a||b| sin θ n̂• Area of Triangle & Parallelogram Using Vectors

🇬🇧 English Medium Masterclass⏱ 1h 48m

Vector Algebra - Full Chapter Masterclass

Educator / Channel:Dear Sir

Chapter 11NCERT-C12M-CH11Official NCERT

Three Dimensional Geometry

त्रिविमीय ज्यामिति

Direction cosines and direction ratios of a line joining two points, Cartesian and vector equation of a line, coplanar and skew lines, shortest distance between two lines.

Key Concepts & Curriculum Points:

• Vector & Cartesian Equations of a Line (r = a + λb)• Angle Between Two Lines• Shortest Distance Between Two Skew Lines: |(b₁×b₂)·(a₂-a₁)| / |b₁×b₂|• Condition for Coplanarity of Two Lines

🇬🇧 English Medium Masterclass⏱ 1h 25m

Three Dimensional Geometry - Full Chapter Masterclass

Educator / Channel:Next Toppers

Chapter 12NCERT-C12M-CH12Official NCERT

Linear Programming

रैखिक प्रोग्रामन

Introduction, related terminology: constraints, objective function, optimization, graphical method of solving linear programming problems in two variables, corner point method.

Key Concepts & Curriculum Points:

• Objective Function (Z = ax + by) & Constraints• Feasible Region & Infeasible Solutions• Corner Point Method for Maxima/Minima• Bounded vs Unbounded Feasible Regions

🇬🇧 English Medium Masterclass⏱ 1h 05m

Linear Programming - Full Chapter Masterclass

Educator / Channel:Magnet Brains

Chapter 13NCERT-C12M-CH13Official NCERT

Probability

प्रायिकता

Conditional probability, multiplication theorem on probability, independent events, total probability theorem, Bayes’ theorem, and random variables.

Key Concepts & Curriculum Points:

• Conditional Probability: P(A|B) = P(A ∩ B) / P(B)• Multiplication Rule & Independent Events (P(A ∩ B) = P(A)P(B))• Law of Total Probability• Bayes’ Theorem for Conditional Hypothesis Testing

🇬🇧 English Medium Masterclass⏱ 1h 10m

Probability - Full Chapter Masterclass

Educator / Channel:Magnet Brains

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Full Board Marathons & Chapter One-Shots

Watch complete full-syllabus revision sessions and chapter-by-chapter deep dives by India’s most acclaimed educators (Physics Wallah, Dear Sir, Vedantu, Magnet Brains, NCERT Wallah). Mapped directly to official board blueprints.

⚡ Maha-Marathon⏱ 6h 15m

Class 12 Maths Half Yearly Marathon | Complete Syllabus Revision

👨‍🏫 Deepak Sir (NCERT Wallah) • NCERT Wallah

Relations and functions, matrices, determinants, continuity and differentiability, and applications of derivatives in single marathon.

CBSE AISSCE Class 12