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CBSE Class 12 Maths syllabus for the 2024-25 academic year has undergone significant revisions with several deletions aimed at simplifying the course and focusing on core competencies. Understanding these changes is crucial for students preparing for their upcoming 12th board exams.
The syllabus reduction aims to decrease the academic load on students, allowing them to concentrate more on understanding and applying fundamental mathematical concepts rather than memorizing extensive procedures and theorems. This approach is intended to enhance problem-solving skills and prepare students better for higher education and competitive exams.
Here is a complete list of all the Deleted Topics from the NCERT Class 12 Maths Syllabus for the year 2024-25:
| Unit Name | Chapter Name | Deleted Topics |
|---|---|---|
| Relations and Functions | Relations and Functions | - Composite functions - Inverse functions |
| Inverse Trigonometric Functions | Basic properties of inverse trigonometric functions | |
| Algebra | Matrices | Elementary row and column operations |
| Determinants | Properties of determinants | |
| Calculus | Continuity and Differentiability | - Derivative of composite functions - Rolle’s and Lagrange's Mean Value Theorems without proof and their geometric interpretation |
| Applications of Derivatives | Tangents, normals, derivatives used in approximations | |
| Integrals | Interpretation of definite integrals as a sum | |
| Applications of the Integrals | Area calculations between curves | |
| Vectors and Three-Dimensional Geometry | Vectors | Scalar triple product |
| Vectors and Three-Dimensional Geometry | Three-dimensional Geometry | - Co-planar lines - Equations of planes - Angles between lines and planes - Distance from a point to a plane |
| Linear Programming | Linear Programming | Types of linear programming problems Mathematical formulations |
| Probability | Probability | Variance of random variables |
Here is a list of all the Deleted Exercises from the NCERT CBSE Class 12 Syllabus along with the page numbers for the year 2024-25:
| Chapter | Page No. | Dropped Topics/Chapters |
|---|---|---|
| Chapter 7: Integrals | 290–291 | Points (xi)–(xiii) in the List of Derivatives |
| 291–292 | 7.2.1 Geometrical Interpretation of Indefinite Integral | |
| 298–299 | 7.2.3 Comparison between Differentiation and Integration | |
| 613–616 | 7.6.3 Type of Integral | |
| 331–334 | 7.7.1 Definite Integral as the Limit of a Sum | |
| 352–354 | Ques. 19, 32, 40 and 44 Point 2 in the Summary | |
| 355 | (xiv) and (xv) in Some Standard Integrals | |
| Chapter 8: Application of Integrals | 363–365 | 8.2.1 The Area of the Region Bounded by a Curve and a Line |
| 366 | Ques. 3 and 6–11 in Exercise 8.1 | |
| 366–372 | 8.3 Area between Two Curves | |
| 373–376 | Examples 11, 13 and 14 Ques. 2–3, 6–7, 8–15, 18–19 (Miscellaneous Exercise) | |
| 377 | Last Two Points of the Summary | |
| Chapter 9: Differential Equations | 385–391 | 9.4 Formation of Differential Equations whose General Solution is Given |
| 415–416 | Example 25 | |
| 420–422 | Ques. 3, 5 and 15 (Miscellaneous Exercise), Point Six of the Summary | |
| Chapter 10: Vector Algebra | 616–619 | 10.7 Scalar Triple Product |
| 619–622 | 10.7.1 Coplanarity of Three Vectors | |
| Chapter 11: Three-Dimensional Geometry | 465 | 11.2.1 Relation between the Direction Cosines of a Line |
| 469–471 | 11.3.2 Equation of a Line Passing through Two Given Points, Ques. 8–9 (Exercise 11.2) | |
| 477–478 | 11.6 Plane | |
| 479–497 | 11.7 Coplanarity of Two Lines | |
| 497–499 | 11.8 Angle between Two Planes | |
| 500–501 | 11.9 Distance of a Point from a Line | |
| 502–503 | 11.10 Angle between a Line and a Plane | |
| Full Pages | Ques. 1, 2, 5, 7–8, 10–19, 21–23 (Miscellaneous Exercise), Summary Points 13, 20–24 | |
| Chapter 12: Linear Programming | 514–527 | 12.3 Different Types of Linear Programming Problems |
| 528–529 | Summary Points 2–9 | |
| Chapter 13: Probability | 557–558 | 13.6 Random Variables and Its Probability Distributions |
| 558–559 | Example 22 and 23 | |
| 559–564 | 13.6.1 Probability Distribution of a Random Variable | |
| 565–571 | 13.6.2 Mean of Random Variables | |
| 572–578 | 13.6.3 Variance of a Random Variable | |
| 579–581 | 13.7 Bernoulli Trials and Binomial Distribution | |
| 583 | Example 34 and 35 | |
| 585–586 | Ques. 5–7, 9–11 (Miscellaneous Exercise) | |
| Answers | Last 3 Points of the Summary | |
| Answers | 594, 596–599, 601, 604–612 | Answers of Exercises 7.1, 8.1, 11.1 and 13.1 |
Here is a clear breakdown of the marks associated with each mathematical unit for the Class 12 board examinations, enabling effective focus and preparation for students.
| Unit | Chapter | Periods | Weightage |
|---|---|---|---|
| I | Relations and Functions | 30 | 8 Marks |
| II | Algebra | 50 | 10 Marks |
| III | Calculus | 80 | 35 Marks |
| IV | Vectors and Three-dimensional Geometry | 30 | 14 Marks |
| V | Linear Programming | 20 | 5 Marks |
| VI | Probability | 30 | 8 Marks |
Total | 240 | 100 | |
Internal Assessment | - | 20 | |
The revisions to the CBSE Class 12 Maths syllabus for the 2024-25 academic year represent a strategic shift towards simplifying the curriculum to enhance students' understanding and application of fundamental mathematical concepts.
By removing certain topics and exercises, the board aims to reduce the academic burden, allowing students to focus more on critical thinking and problem-solving skills that are essential for higher education and competitive exams.
