Jharkhand Academic Council (JAC) has released the official Class 12 Maths syllabus for the academic year 2025, providing students with a clear and well-organized study plan. The JAC Board Class 12th Maths syllabus 2025 covers a wide range of topics, from algebra and calculus to coordinate geometry and probability, ensuring a comprehensive understanding of the subject. This syllabus is designed to prepare students not only for their board examinations but also to develop their analytical thinking and problem-solving skills through theoretical concepts and practical problem-solving. By following this detailed syllabus, students can build a strong foundation in mathematics, which will be valuable for higher education and various competitive exams.
The syllabus is divided into the following major units:
1. Relations and Functions
Types of relations: Reflexive, symmetric, transitive, equivalence relations
Types of functions: One-one, onto, bijective
Composition of functions and invertible functions
2. Inverse Trigonometric Functions
Definition and properties of inverse trigonometric functions
Graphs of inverse trigonometric functions
Principal values
3. Matrices
Types of matrices: Square, diagonal, identity, zero matrix
Operations on matrices: Addition, multiplication, scalar multiplication
Transpose of a matrix
Symmetric and skew-symmetric matrices
4. Determinants
Definition and properties of determinants
Minors and cofactors
Calculation of determinants up to order 3
Applications: Solving systems of linear equations using Cramer's rule
5. Continuity and Differentiability
Continuity of a function at a point
Differentiability and its geometrical interpretation
Derivatives of inverse trigonometric functions
6. Application of Derivatives
Rate of change of quantities
Increasing and decreasing functions
Tangents and normals
Maxima and minima of functions
7. Integrals
Integration as the inverse process of differentiation
Methods of integration: substitution, integration by parts
Definite integrals and properties
8. Application of Integrals
Area under curves
Area between two curves
9. Differential Equations
Formation of differential equations
Solutions of differential equations by method of separation of variables
10. Vector Algebra
Vectors and scalars
Addition and subtraction of vectors
Scalar and vector products of vectors
Applications in geometry
11. Three-Dimensional Geometry
Direction cosines and ratios
Equation of a line and plane in space
Angle between two lines, line and plane, two planes
12. Linear Programming
Introduction to linear programming problems (LPP)
Graphical method of solution for problems in two variables
13. Probability
Conditional probability
Multiplication theorem on probability
Random variables and their probability distributions
Binomial distribution
Jharkhand Academic Council (JAC) has released the JAC Class 12 exam pattern for the Mathematics subject. It includes both theory and internal assessment to evaluate students' mathematical understanding effectively.
JAC Class 12 Maths Exam Pattern 2025 |
|
Particulars |
Details |
Conducting Body |
Jharkhand Academic Council (JAC) |
Total Marks |
100 Marks |
Types of Questions |
MCQ, Very Short Answer (VSA), Short Answer (SA), Long Answer (LA) |
Question Paper Pattern |
MCQ + VSA: ~30 marks; SA + LA: ~50 marks |
Exam Duration |
3 Hours |
Medium |
English / Hindi |
Mode of Exam |
Offline (Pen and Paper) |
Passing Marks (Theory) |
26 out of 80 |
Passing Marks (Overall) |
33% aggregate (including internal assessment) |
Negative Marking |
No |
Step 1: Go to the official website of the Jharkhand Academic Council at jac.jharkhand.gov.in.
Step 2: On the homepage, look for the “Others” section and click on it.
Step 3: Select the “Syllabus” option from the drop-down list.
Step 4: A new page will appear with subject-wise syllabus links. Locate and click on the “Class 12 Mathematics” link.
Step 5: The syllabus PDF will open in a new tab. Download and save it for future study reference.
Preparing for the Maths exam is important to scoring well. These JAC Board Class 12th Preparation Tips for 2025 will help students strengthen their fundamentals and boost their confidence.
Go through the official JAC Class 12th Syllabus to understand the structure, topics, and chapter weightage clearly.
Set weekly goals and distribute time evenly across all units, giving extra attention to complex chapters like Calculus and Probability.
Stick to NCERT as your primary study resource and solve all examples and exercises provided.
Regularly practice problems from reference books such as RD Sharma or RS Aggarwal to build problem-solving accuracy.
Solve JAC Class 12th Previous Year Question Papers and mock tests to get used to the exam format and improve time management.
Derive and practice key formulas repeatedly to understand their applications in various problems.
Keep a formula sheet for quick revisions and dedicate time each week for revising previously studied topics.
Complete assignments and class tests seriously, as internal marks contribute to your final score.