CBSE Class 12 Maths Syllabus 2025-26: Download PDF & Full Exam Pattern

Updated CBSE Class 12 Maths Syllabus for 2025-26 – Get the latest chapter-wise syllabus, marking scheme, and study tips. Download the official PDF at the end!

Overview of CBSE Class 12 Maths Syllabus 2025-26

The Class 12 CBSE syllabus for Maths plays a crucial role in board exams and competitive exams like JEE, NEET, CUET, etc. This year, CBSE has introduced competency-based questions and a revised weightage system to encourage conceptual learning over rote memorization.

MATHEMATICS – CLASS XII (2025-26)

Course Structure

Exam Pattern

• One Paper
• Maximum Marks: 80
• Internal Assessment: 20
• Total Marks: 100

Unit-wise Marks Distribution

Unit-I: Relations and Functions (08 Marks)

1. Relations and Functions
   • Types of relations: Reflexive, Symmetric, Transitive, and Equivalence relations.
   • One-to-one and onto functions.
2. Inverse Trigonometric Functions
   • Definition, range, domain, principal value branch.
   • Graphs of inverse trigonometric functions.

Unit-II: Algebra (10 Marks)

1. Matrices
   • Concept, notation, order, equality.
   • Types of matrices: Zero matrix, Identity matrix, Symmetric & Skew-symmetric matrices.
   • Operations: Addition, Multiplication, and Scalar Multiplication.
   • Non-commutativity of matrix multiplication.
   • Invertible matrices and uniqueness of inverse (2×2 matrices only).
2. Determinants
   • Determinants (up to 3×3 matrices), Minors, Cofactors.
   • Applications in finding the area of a triangle.
   • Adjoint and inverse of a matrix.
   • Solving linear equations (2 & 3 variables) using matrices.

Unit-III: Calculus (35 Marks)

1. Continuity and Differentiability

• Continuity & Differentiability: Definition, chain rule, derivatives of composite functions.
• Derivatives of Inverse Trigonometric Functions:
  • sin⁡⁻¹x,cos^⁡−1x,tan^⁡−1x.
• Implicit Functions: Differentiation of implicit functions.
• Exponential & Logarithmic Functions:
  • Derivatives of ex, log⁡x and logarithmic differentiation.
• Parametric Functions: Derivatives of functions in parametric forms.
• Second Order Derivatives.

2. Applications of Derivatives

• Rate of Change: Real-life applications (e.g., velocity, growth rate).
• Increasing/Decreasing Functions: Using derivatives to determine intervals.
• Maxima & Minima:
  • First Derivative Test (geometric intuition).
  • Second Derivative Test (verification).
  • Practical problems (optimization, real-world examples).

3. Integrals

• Integration as Anti-Derivative: Inverse process of differentiation.
• Methods of Integration:
  • Substitution
  • Partial Fractions
  • Integration by Parts
• Standard Integrals:

• Fundamental Theorem of Calculus (without proof).
• Definite Integrals: Properties & evaluation.

4. Applications of Integrals

• Area Under Curves:
  • Lines, circles, parabolas, ellipses (standard forms only).

5. Differential Equations

• Basic Concepts: Definition, order, degree, general & particular solutions.
• Methods of Solving:
  • Separation of Variables
  • Homogeneous Differential Equations (1st order, 1st degree)
• Linear Differential Equations:
  • dy/dx+py=q (p,q are functions of x or constants)
  • dx/dy+px=q (p,q are functions of y or constants)

Unit-IV: Vectors and Three-Dimensional Geometry (14 Marks)

1. Vectors

• Basic Concepts:
  • Scalars and vectors, magnitude and direction.
  • Direction cosines and direction ratios.
• Types of Vectors:
  • Equal, unit, zero, parallel, and collinear vectors.
  • Position vector, negative of a vector, components of a vector.
• Vector Operations:
  • Addition, multiplication by a scalar.
  • Section formula (dividing a line segment in a given ratio).
• Products of Vectors:
  • Dot Product: Definition, properties, applications (projections, work done).
  • Cross Product: Definition, geometrical interpretation, properties (area of parallelogram, torque).

2. Three-Dimensional Geometry

• Direction Cosines & Ratios: Of a line joining two points.
• Equations of a Line:
  • Cartesian form.
  • Vector form.
• Relative Positions of Lines:
  • Skew lines, shortest distance between two lines.
  • Angle between two lines.

Unit-V: Linear Programming (5 Marks)

1. Linear Programming Problems (LPP)

• Introduction:
  • Key terms: Constraints, objective function, optimization.
• Graphical Method:
  • Solving problems in two variables.
  • Feasible & infeasible regions (bounded/unbounded).
  • Optimal feasible solutions (up to 3 non-trivial constraints).

Unit-VI: Probability (8 Marks)

1. Probability

• Conditional Probability: Definition and examples.
• Multiplication Theorem: For dependent and independent events.
• Independent Events: Concept and applications.
• Total Probability Theorem: Partitioning sample space.
• Bayes’ Theorem: Statement and simple applications.

Question Paper Design

Important Guidelines

1. No Chapter-wise Weightage: All chapters must be covered uniformly.
2. Internal Variations: Slight adjustments permitted while maintaining overall typology and weightage.
3. Choices:
   • No overall choice in the paper.
   • 33% internal choices provided in all sections.

Internal Assessment (20 Marks)

Download CBSE Class 12 Maths Syllabus 2025-26 PDF

Click the button below to download the official CBSE syllabus PDF for 2025-26.

📂 Download CBSE Class 12 Maths Syllabus PDF

Related Guides

CBSE Class 12 Syllabus – All Subjects

Stay Updated!

Join our Telegram/WhatsApp group for CBSE updates, free notes, and exam tips!

Bookmark this page & keep revising smartly!