CBSE Class 12 Maths Syllabus 2020-21 PDF | Download Revised Syllabus PDF

CBSE  Class 12 Maths Syllabus

CBSE Class 12 Maths Syllabus 2020-21 PDF: Are you preparing for the Class 12 Maths Board Exam? Do you have the latest CBSE Class 12 Maths Syllabus?

Don’t worry! Here in this article, we are providing the latest CBSE Syllabus for Class 12 Maths 2020-21. You can check online and download the Syllabus PDF easily.

Class 12 Syllabus is the Most Important Preparation Study material to Boost their Marks, Since Based on the Syllabus and Marking Scheme one can Allot the time for Study, Make Notes and Practice Questions related to it. So Start Downloading the latest Class 12 Syllabus Released by the Official CBSE Site (Reduced by 30% to the previous Syllabus because of the pandemic). 

Revised CBSE Class 12 Maths Syllabus 2020-21 PDF

CBSE Class 12 Maths plays a great role to scale up your marks and score a better grade in the 12th Board Exam. With in-depth knowledge about all the important concepts, you will be acing up your scores.

Download 12th Maths Syllabus 2021(Revised)

CBSE changes the syllabus almost every year to provide updates to the course to the students. Here you can check the Revised CBSE Class 12 Maths Syllabus and NCERT Textbook based on the latest syllabus.

Must Read: Deleted CBSE Class 12 Maths Syllabus 2021

Here, you can check the deleted CBSE Class 12 Maths Syllabus

deleted CBSE 12th Maths Syllabus

Download Deleted 12th Maths Syllabus 2021

Updated CBSE Class 12 Mathematics Exam Pattern 2020-21

Unit

Topic

Marks

I.

Relations and Functions

10

II.

Algebra

13

III.

Calculus

44

IV.

Vectors and 3-D Geometry

17

V.

Linear Programming

06

VI.

Probability

10

Total

100

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Detailed CBSE Class 12 Mathematics Syllabus 2020-21 – Chapter-wise

CBSE Class 12 Maths Unit I: Relations and Functions

  1. Relations and Functions

Types of relations: reflexive, symmetric, transitive, and equivalence relations. One to one and onto functions, composite functions, the inverse of a function. Binary operations.

  1. Inverse Trigonometric Functions

Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

CBSE Class 12 Maths Unit II: Algebra

  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 and existence of non-zero matrices whose product is the zero matrices (restrict to square matrices of order 2).

Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here, all matrices will have real entries).

  1. Determinants

The 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. Consistency, inconsistency, and the number of solutions of the system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.

CBSE Class 12 Maths Unit III: Calculus

  1. Continuity and Differentiability

Continuity and differentiability, the derivative of composite functions, chain rule, derivatives 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. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretation.

  1. Applications of Derivatives

Applications of derivatives: rate of change of bodies, increasing/decreasing functions, tangents and normals, use of derivatives in approximation, maxima, and minima (first derivative test motivated geometrically and second derivative test is given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).

  1. Integrals

Integration as an 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.

integrals class 12 maths

Definite integrals as a limit of a sum, Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.

  1. Applications of the Integrals

Applications in finding the area under simple curves, especially lines, circles/parabolas/ellipses (in standard form only), Area between any of the two above said curves (the region should be clearly identifiable).

  1. Differential Equations

Definition, order, and degree, general, and particular solutions of a differential equation. Formation of differential equations whose general solution is given. The solution of differential equations by the method of separation of variables solutions of homogeneous differential equations of the first order and first degree. Solutions of the linear differential equation of the type:

dy/dx + py = q, where p and q are functions of x or constants.

dx/dy + px = q, where p and q are functions of y or constants.

CBSE Class 12 Maths Unit IV: 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, the 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, the scalar triple product of vectors.

  1. 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, the shortest distance between two lines. Cartesian and vector equation of a plane.

The angle between (i) two lines, (ii) two planes, (iii) a line and a plane. The distance of a point from a plane.

CBSE Class 12 Maths Unit V: Linear Programming

  1. Linear Programming

Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, the mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions (bounded and unbounded), feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

CBSE Class 12 Maths Unit VI: Probability

  1. Probability

Conditional probability, multiplication theorem on probability. Independent events, total probability, Baye’s theorem, Random variable, and its probability distribution, mean and variance of the random variable. Repeated independent (Bernoulli) trials and Binomial distribution.

CBSE Class 12 Maths New Pattern Marking Scheme

Theoretical Paper: 80 Marks

Internal Assessment: 20 marks

Question Paper Structure:

Time Duration

3 Hours

Maximum Marks

80 marks

Total No. of Questions

36

Type of Questions

Very Short Answer – 1 mark

Short Answer – 2 marks

Long Answer I – 4 marks

Long Answer – 6 marks

Download CBSE NCERT Textbook PDF For Class 12 Maths 

Here you can download Chapter-wise NCERT Textbook for Class 12 Maths for Hindi and English Medium.

Download Chapter-Wise Class 12 Textbooks PDF for Maths For English Medium Published by NCERT

Here we are providing the chapter-wise NCERT Class 12 Maths Textbooks PDF. You can read it online or download it easily.

You can download a chapter-wise PDF for Class 12 Maths for English Medium from below

Download Chapter-Wise Class 12 Textbooks PDF for Maths For Hindi Medium Published by NCERT

Here we are providing the chapter-wise NCERT Class 12 Maths Textbooks PDF in Hindi. You can read it online or download it easily.

गणित (भाग १ तथा भाग २)

You can download chapter wise PDF for Class 12 Maths for Hindi Medium from below

Essentials to Crack CBSE Class 12 Exam 2021

CBSE NCERT Class 12 Book For All Subjects. NCERT Solutions For Class 12
CBSE 12th Sample Papers 2020-21 Class 12th Previous Year Papers 2020-21
CBSE Class 12 Marking Scheme 2020 CBSE 12th Grading System 2020
CBSE 12th Study Plan To Score High CBSE 12th Date Sheet 2020-21
CBSE 12th Admit Card 2020-21 CBSE 12th Practical Exam 2020
CBSE 12th Result 2020-21  

We have covered a detailed guide on CBSE Class 12 Maths Syllabus 2020-21. Feel free to ask any questions in the comment section below.

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