Rajasthan Board RBSE Class 12th Maths Syllabus 2026-27, Download PDF Here for Board Exam

Particulars

Marks 

Theory

80

Practical

20

Total

100

Unit 1 - RELATIONS AND FUNCTIONS

Relations and Functions

Introduction , Types of relations, Types of functions, Composition of Functions and Invertible function

INVERSE TRIGONOMETRIC FUNCTIONS

Introduction, Basic Concepts , Properties of Inverse Trigonometric Functions

Unit 2 - ALGEBRA 

Matrices Introduction, Matrix, Types of matrices, Operations on Matrices, Transpose of a Matrix, Symmetric and Skew Symmetric Matrices, Invertible Matrices .

DETERMINANTS

Introduction, Determinant, Area of a Triangle, Minors and Co-Factors, Adjoint and inverse of a matrix Applications of Determinants and Matrices.

Unit 3 - CALCULUS

CONTINUITY AND DIFFERENTIABILITY

Introduction, Continuity, Differentiability, Exponential and Logarithmic Functions, Logarithmic Differentiation, Derivatives of Functions in Parametric Forms ,Second Order Derivative

APPLICATION OF DERIVATIVES

Introduction, Rate of change of Quantities ,Increasing and Decreasing Functions , maxima and Minima.

INTEGRALS

Introduction, Integration as inverse process of differentiation, Methods of Integration, Integrals of Some Particular Functions ,Integration by Partial Fractions, Integration by Parts, Definite Integral, Fundamental Theorem of Calculus, Evaluation of Definite Integrals by Substitution, Some Properties of Definite Integrals.

APPLICATIONS OF THE INTEGRALS

Introduction, area under simple curves.

DIFFERENTIAL EQUATIONS

Introduction , Basic Concepts, General and Particular Solutions of a differential Equation, Methods of solving first order, first degree differential Equations. 

Unit 4 - VECTORS AND THREE-DIMENSIONAL GEOMETRY

VECTOR ALGEBRA

Introduction, Some Basic Concepts, Types of Vectors, Addition of Vectors, Multiplication of a Vector by a Scalar, Product of Two Vectors.

THREE DIMENSIONAL GEOMETRY

Introduction, Direction Cosines and Direction Ratios of a Line, Equation of a Line in Space, Angle between two lines, Shortest Distance between two lines.

Unit 5 - LINEAR PROGRAMMING 

LINEAR PROGRAMMING

Introduction, Linear programming problems and its mathematical formulation.

Unit 6 - PROBABILITY

PROBABILITY

Introduction Probability, Conditional probability, Multiplication Theorem on probability, Independent Events , Baye’s theorem.