CBSE Class 12 Mathematics Syllabus 2020 2021

CBSE Class 12 Mathematics Syllabus 2020 2021. Students must always refer to the latest syllabus issued by CBSE before starting studies. Download the latest syllabus for 2020 2021 released by CBSE to plan your studies as per the latest syllabus and guidelines issued by CBSE NCERT. The syllabus, weightage of chapters, blue print of question papers and the design of question papers is issued every year for the benefit of students. Access and download syllabus for all subjects here.
 
 
Unit-I: Relations and Functions

1. Relations and Functions 

Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one andonto functions, composite functions, inverse of a function.
 
2. Inverse Trigonometric Functions 

Definition, range, domain, principal value branch. Graphs of inversetrigonometric functionsElementary properties of inverse trigonometricfunctions.
 
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 matrix (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).
 
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. Consistency, inconsistency and number of solutions of system of linear equations by examples, solving system of linear equations in two or three variables (having unique solution) using inverse of a matrix.
 
 
 
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