CBSE Class 12 Syllabus For Maths 2021-22: The officials of CBSE have released the CBSE Class 12 Maths Syllabus for the 2021-22 academic session on the official website. You can download the new CBSE Syllabus for Class 12 Maths PDF from here. Here are the complete Chapter-wise Syllabus PDF for CBSE Class 12 Syllabus For Maths 2021.
In this article, we have provided the new CBSE Class 12 Mathematics Syllabus as PDF. It will help in your preparation for not only the board exam but also national-level engineering exams, namely, JEE Main and JEE Advanced, which too follow the CBSE Class 11 and Class 12 syllabus. These exams are conducted for admission to B.E./B.Tech./B.Arch in various engineering colleges across the country. Download the new 12th Class Maths Syllabus here.
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CBSE Class 12 Syllabus For Maths 2021-22 (Reduced And Updated)
The CBSE Class 12 Maths exam is conducted for 80 marks. Internal Assessment carries the remaining 20 marks. Let us now look into the different units, chapters, and marks distribution of CBSE Syllabus for Class 12 Maths 2021 for the final exam:
Units |
Marks |
Unit I: Relations and Functions |
8 |
Unit II: Algebra |
10 |
Unit III: Calculus |
35 |
Unit IV: Vectors and Three-Dimensional Geometry |
14 |
Unit V: Linear Programming |
5 |
Unit VI: Probability |
8 |
Total |
80 |
The evaluation scheme for Internal Assessment is as under:
Internal Assessment |
Marks |
Periodic Tests ( Best 2 out of 3 tests conducted) |
10 |
Mathematics Activities |
10 |
Total |
20 |
Let us now look at the detailed CBSE Syllabus for Class 12 Maths 2021/Maths Class 12 syllabus chapter wise :
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CBSE Class 12 Syllabus For Maths Unit 1: Relations And Functions
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.
CBSE Class 12 Syllabus For Maths Unit 2: Class 12 Maths Algebra Chapters
1. Matrices
Concept, notation, order, equality, types of matrices, zero and identity matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Operation on matrices: Addition and multiplication and multiplication with a scalar. Simple properties of addition, multiplication and scalar multiplication. Non- commutativity of multiplication of matrices Invertible matrices
2. Determinants
Determinant of a square matrix (up to 3 x 3 matrices), properties of determinants, minors, co-factors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
CBSE Class 12 Syllabus For Maths Unit 3: Calculus Class 12
1. Continuity and Differentiability
Continuity and differentiability, derivative of composite functions, chain rule, derivative of inverse trigonometric functions, derivative of implicit functions. Concept of exponential and logarithmic functions.
Derivatives of logarithmic and exponential functions. Logarithmic differentiation, derivative of functions expressed in parametric forms. Second order derivatives.
2. Applications of Derivatives
Applications of derivatives: increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
3. Integrals
Integration as inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, Evaluation of simple integrals of the following types and problems based on them.
Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
4. Applications of the Integrals
Applications in finding the area under simple curves, especially lines, parabolas; area of circles /ellipses (in standard form only) (the region should be clearly identifiable
5. Differential Equations
Definition, order and degree, general and particular solutions of a differential equation. Solution of differential equations by method of separation of variables, solutions of homogeneous differential equations of first order and first degree of the type: dy/dx = 𝑓(y/x). Solutions of linear differential equation of the type:
Solutions of linear differential equation of the type:
(dy/dx) + py = q, where p and q are functions of x or constants.
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CBSE Class 12 Syllabus For Maths Unit 4: Vectors And Three-Dimensional Geometry
1. Vectors
Vectors and scalars, magnitude and direction of a vector. Direction cosines and direction ratios of a vector. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Definition, Geometrical Interpretation, properties and application of scalar (dot) product of vectors, vector (cross) product of vectors.
2. Three – Dimensional Geometry
Direction cosines and direction ratios of a line joining two points. Cartesian equation and vector equation of a line, coplanar and skew lines, shortest distance between two lines. Cartesian and vector equation of a plane. Distance of a point from a plane.
CBSE Class 12 Syllabus For Maths Unit 5: Linear Programming
1. Linear Programming
Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems. graphical method of solution for problems in two variables, feasible and infeasible regions (bounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
CBSE Class 12 Syllabus For Maths Unit 6: Probability
1. Probability
Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution.
Deleted Topics From CBSE 12th Maths Syllabus 2021-22:
You can find the removed topics from CBSE Class 12 Maths Syllabus 2021-22 here in the table below:
Unit Name | Deleted Topics |
Unit – 1: Relations and Functions 1. Relations and Functions 2. Inverse Trigonometric Functions | – Composite functions, inverse of a function – Graphs of inverse trigonometric functions – Elementary properties of inverse trigonometric functions |
Unit – 2: Algebra 1. Matrices 2. Determinants | – Existence of non-zero matrices whose product is the zero matrix – Concept of elementary row and column operations – Proof of the uniqueness of inverse, if it exists |
Unit – 3: Calculus 1. Continuity and Differentiability 2. Applications of Derivatives 3. Integrals 4. Applications of the Integrals 5. Differential Equations | – Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretation – Rate of change of bodies, use of derivatives in approximation – Definite integrals as a limit of a sum – Area between any of the two above said curves – Formation of differential equation whose general solution is given – Solutions of linear differential equation of the type: dx/dy + px = q, where p and q are function of y or constant |
Unit – 4: Vectors and Three- Dimensional Geometry 1. Vectors 2. Three – dimensional Geometry | – Scalar triple product of vectors – Angle between (i) two lines, (ii) two planes, (iii) a line and a plane |
Unit – 5: Linear Programming 1. Linear Programming | – Mathematical formulation of L.P. problems – (unbounded) |
Unit – 6: Probability 1. Probability | – Mean and variance of random variable. Binomial probability distribution. |
Prescribed Textbooks
1) Mathematics Textbook for Class XI, NCERT Publications
2) Mathematics Part I – Textbook for Class XII, NCERT Publication
3) Mathematics Part II – Textbook for Class XII, NCERT Publication
4) Mathematics Exemplar Problem for Class XI, Published by NCERT
5) Mathematics Exemplar Problem for Class XII, Published by NCERT
6) Mathematics Lab Manual class XI, published by NCERT
7) Mathematics Lab Manual class XII, published by NCERT
FAQs Related To CBSE Class 12 Maths Syllabus
We present to you some of the frequently asked questions (FAQs) related to CBSE Class 12 Maths Syllabus:
Q: Is Class 12 Maths tough?
A: Some students consider Class 12 Maths as one of the toughest subjects. However, it is not true. It depends on your level of preparation and how much you practice.
Q: Is there any change in CBSE 12th Syllabus 2021-22?
A: Yes, due to the spread of Coronavirus, the officials have reduced the CBSE Class 12 Maths Syllabus for session 2021-22 by up to 30% to manage the time lost.
Q: Is NCERT enough for 12th Maths 2021?
A: Yes, NCERT books are more than enough for 12th Maths 2021-22. If you are preparing for some competitive exams such as JEE, you should also refer to other textbooks for a deeper understanding of topics.
Q: How many chapters are there in Mathematics Class 12?
A: There are 13 chapters in Class 12 Maths book.
Q: Where can I download the CBSE Syllabus for Class 12 Maths?
A: From the below-given link download the official CBSE Class 12 Maths Syllabus PDF.
Download Official CBSE Class 12 Maths Syllabus PDF
Embibe provides CBSE study material that covers the whole CBSE Class 12 syllabus for Maths. You can also solve CBSE Class 12 Maths practice questions for every chapter in the CBSE Class 12 syllabus for Maths that will help you in your preparation for JEE as well.
We hope this detailed article on the syllabus of Maths Class 12 CBSE 2021-22/CBSE Class 12 syllabus for Maths helps in your preparation. For any queries regarding CBSE Class 12 syllabus for Maths, feel free to contact us. Drop a comment below and we will get back to you at the earliest.
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