CBSE Class 12 Maths Syllabus - Free PDF Download
CBSE Syllabus 2026-27 Class 12: The CBSE Class 12 Maths Syllabus for the examination year 2026-27 has been released by the Central Board of Secondary Education, CBSE. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2026-27 CBSE Class 12 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CBSE syllabus to prepare for their annual exam properly.
The detailed CBSE Class 12 Maths Syllabus for 2026-27 is below.
Academic year:
CBSE Class 12 Mathematics Revised Syllabus
CBSE Class 12 Mathematics Course Structure 2026-27 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Relations and Functions | |
| 1 | Relations and Functions | |
| 2 | Inverse Trigonometric Functions | |
| 2 | Algebra | |
| 3 | Matrices | |
| 4 | Determinants | |
| 3 | Calculus | |
| 5 | Continuity and Differentiability | |
| 6 | Applications of Derivatives | |
| 7 | Integrals | |
| 8 | Applications of the Integrals | |
| 9 | Differential Equations | |
| 4 | Vectors and Three-dimensional Geometry | |
| 10 | Vectors | |
| 11 | Three - Dimensional Geometry | |
| 5 | Linear Programming | |
| 12 | Linear Programming | |
| 6 | Probability | |
| 13 | Probability | |
| 7 | Sets | |
| Total | - |
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Syllabus
1: Relations and Functions [Revision]
CBSE Class 12 Mathematics Syllabus
1 Relations and Functions [Revision]
- Basics of Relations & Functions
- Definition of Relation
- Domain
- Co-domain and Range of a Relation
- Types of Relations
- Equivalence Class and Relation
- Types of Functions
- Composition of Functions
- Invertible Functions
- Overview of Relations and Functions
2 Inverse Trigonometric Functions [Revision]
- Basics of Inverse Trigonometric Functions
- Domain, Range & Principal Value
- Graphs of Inverse Trigonometric Functions
- Properties of Inverse Trigonometric Functions
- Overview of Inverse Trigonometric Functions
2: Algebra [Revision]
CBSE Class 12 Mathematics Syllabus
3 Matrices [Revision]
- Concept of Matrices
- Matrices
- Determinants
- Cramer’s Rule
- Application in Economics
- Equality of Matrices
- Determine equality of two matrices
- Types of Matrices
- Row Matrix
- Column Matrix
- Zero or Null matrix
- Square Matrix
- Diagonal Matrix
- Scalar Matrix
- Unit or Identity Matrix
- Upper Triangular Matrix
- Lower Triangular Matrix
- Triangular Matrix
- Symmetric Matrix
- Skew-Symmetric Matrix
- Determinant of a Matrix
- Singular Matrix
- Transpose of a Matrix
- Operations on Matrices> Addition of Matrices
- Commutative Law
- Associative Law
- Existence of additive identity
- The existence of additive inverse
- Operations on Matrices>Scalar Multiplication
- Operations on Matrices> Matrix Multiplication
- Transpose of a Matrix
- Symmetric and Skew Symmetric Matrices
- Invertible Matrices
- Overview of Matrices
4 Determinants [Revision]
- Determinant of a Matrix
- Expansion of Determinant
- Area of Triangle using Determinant
- Minors and Co-factors
- Adjoint & Inverse of Matrix
- Applications of Determinants and Matrices
- Consistent System
- Inconsistent System
- Solution of a system of linear equations using the inverse of a matrix
- Overview of Determinants
3: Calculus [Revision]
CBSE Class 12 Mathematics Syllabus
5 Continuity and Differentiability [Revision]
- Continuous and Discontinuous Functions
- Algebra of Continuous Functions
- Concept of Differentiability
- Derivative of Composite Functions
- Derivative of Implicit Functions
- Derivative of Inverse Function
- Exponential and Logarithmic Functions
- Logarithmic Differentiation
- Derivatives of Functions in Parametric Forms
- Second Order Derivative
- Overview of Continuity and Differentiability
6 Applications of Derivatives [Revision]
7 Integrals [Revision]
- Introduction of Integrals
- Integration as an Inverse Process of Differentiation
Derivatives Integrals
(Anti derivatives)`d/(dx) (x^(n+1)/(n+1)) = x^n` `int x^n dx = x^(n+1)/(n+1) + "C"`, n ≠ –1 `d/(dx)`(x) = 1 `int dx` = x + C `d/(dx)`(sin x) = cos x `int` cos x dx = sin x +C `d/(dx)` (-cos x) = sin x `int`sin x dx = -cos x +C `d/(dx)` (tan x) = sec2x `int sec^2 x` dx = tanx + C `d/(dx)`(-cot x) = `cosec^2x ` `int cosec^2x` dx = -cot x +C `d/(dx)` (sec x) = sec x tan x `int` sec x tan x dx = sec x +C `d/(dx)` (-cosecx) = cosec x cot x `int` cosec x cot x dx = -cosec x +C `d/(dx) (sin^-1) = 1/(sqrt(1-x^2))` `int (dx)/(sqrt(1-x^2))= sin^(-1) x +C ` `d/(dx) (-cos^(-1)) = 1/(sqrt (1-x^2))` `int (dx)/(sqrt (1-x^2))= -cos^(-1) x + C ` `d/(dx) (tan^(-1) x) = 1/(1+x^2)` `int (dx)/(1+x^2)= tan^(-1) x + C ` `d/(dx) (-cot^(-1) x) = 1/(1+x^2)` `int (dx)/(1+x^2)= -cot^(-1) x + C ` `d/(dx) (sec^(-1) x) = 1/(x sqrt (x^2 - 1))` `int (dx)/(x sqrt (x^2 - 1))`= `sec^(-1)` x + C `d/(dx) (-cosec^(-1) x) = 1/(x sqrt (x^2 - 1))` `int (dx)/(x sqrt (x^2 - 1))=-cosec^(-1) x + C ` `d/(dx)(e^x) = e^x` `int e^x dx = e^x + C` `d/(dx) (log|x|) = 1/x` `int 1/x dx = log|x| +C` `d/(dx) ((a^x)/(log a)) = a^x` `int a^x dx = a^x/log a` +C - Properties of Indefinite Integral
- Methods of Integration> Integration by Substitution
- Methods of Integration>Integration Using Trigonometric Identities
- Methods of Integration> Integration Using Partial Fraction
- Methods of Integration> Integration by Parts
- Integrals of Some Particular Functions
1) `int (dx)/(x^2 - a^2) = 1/(2a) log |(x - a)/(x + a)| + C`
2) `int (dx)/(a^2 - x^2) = 1/(2a) log |(a + x)/(a - x)| + C`
3) `int (dx)/(x^2 - a^2) = 1/a tan^(-1) (x/a) + C`
4) `int (dx)/sqrt (x^2 - a^2) = log |x + sqrt (x^2-a^2)| + C`
5) `int (dx)/sqrt (a^2 - x^2) = sin ^(-1) (x/a) +C`
6) `int (dx)/sqrt (x^2 + a^2) = log |x + sqrt (x^2 + a^2)| + C`
7) To find the integral `int (dx)/(ax^2 + bx + c)`
8) To find the integral of the type `int (dx)/sqrt(ax^2 + bx + c)`
9) To find the integral of the type `int (px + q)/(ax^2 + bx + c) dx`
10) For the evaluation of the integral of the type `int (px + q)/sqrt(ax^2 + bx + c) dx`
- Definite Integrals
- Fundamental Theorem of Integral Calculus
- Evaluation of Definite Integrals by Substitution
- Properties of Definite Integrals
- Overview of Integrals
8 Applications of the Integrals [Revision]
9 Differential Equations [Revision]
- Basic Concepts of Differential Equations
- Order and Degree of a Differential Equation
- General and Particular Solutions of a Differential Equation
- Methods of Solving Differential Equations>Linear Differential Equations
- Methods of Solving Differential Equations> Variable Separable Differential Equations
- Methods of Solving Differential Equations> Homogeneous Differential Equations
- Overview of Differential Equations
4: Vectors and Three-dimensional Geometry [Revision]
CBSE Class 12 Mathematics Syllabus
10 Vectors [Revision]
- Vector Analysis
- Vector
- Definition: Vector
- Representation of vector
- Types of Vectors
- Examples of Vector Quantities
- Vector
- Basic Concepts of Vector Algebra
- Position Vector
- Direction Cosines and Direction Ratios of a Vector
- Direction Ratios, Direction Cosine & Direction Angles
- Vector Operations>Addition and Subtraction of Vectors
- Statement
- Vector Addition: Parallel Vectors
- Vector Subtraction: Anti-Parallel Vectors
- Real-Life Applications
- Properties of Vector Addition
- Vector Operations>Multiplication of a Vector by a Scalar
- Introduction: Vector Operations
- Statement: Multiplication of a Vector by a Scalar
- Example
- Components of Vector
- Vector Joining Two Points
- Section Formula in Coordinate Geometry
- Formula
- Division of Line Segment
- Proof
- Examples
- Multiplication of Vectors
- Geometrical Interpretation of Scalar
- Scalar Triple Product
- Position Vector of a Point Dividing a Line Segment in a Given Ratio
- Magnitude and Direction of a Vector
- Vectors Examples and Solutions
- Introduction of Product of Two Vectors
- Overview of Vectors
11 Three - Dimensional Geometry [Revision]
- Introduction of Three Dimensional Geometry
- Direction Cosines and Direction Ratios of a Line
- Direction cosines of a line passing through two points.
- Relation Between Direction Ratio and Direction Cosines
- Equation of a Line in Space
- Equation of a line through a given point and parallel to a given vector `vec b`
- Equation of a line passing through two given points
- Angle Between Two Lines
- Shortest Distance Between Two Lines
- Coplanar
- Skew lines
- Distance between two skew lines
- Distance between parallel lines
- Three - Dimensional Geometry Examples and Solutions
- Equation of a Plane
- Equations of Line in Different Forms
- Coplanarity of Two Lines
- Distance of a Point from a Plane
- Angle Between Line and a Plane
- Angle Between Two Planes
- Vector and Cartesian Equation of a Plane
- Overview of Three Dimensional Geometry
5: Linear Programming [Revision]
CBSE Class 12 Mathematics Syllabus
12 Linear Programming [Revision]
- Introduction of Linear Programming
- Definition of related terminology such as constraints, objective function, optimization.
- Mathematical Formulation of Linear Programming Problem
- Different Types of Linear Programming Problems
- Different types of linear programming (L.P.) problems
- Manufacturing problem
- Diet Problem
- Transportation problem
- Methods to Solve LPP (Graphical / Corner Point Method)
- Linear Programming Problem and Its Mathematical Formulation
- Overview of Linear Programming
6: Probability [Revision]
CBSE Class 12 Mathematics Syllabus
13 Probability [Revision]
