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Rajasthan Board (RBSE) Class 12 Maths Previous Year Question Paper with Solutions - PDF Download

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RBSE 12th Maths Previous Year Question Paper uploaded on the official website of the Rajasthan Board of Secondary Education so that you can start their preparations for the board exams accordingly. You can get proper information related to the RBSE 12th board exams 2024-2025 by visiting the official website of the Rajasthan Board of Secondary Education. It is important to download the question papers because it will help you to prepare for the board examination. The aspirant will be able to check the format of the question papers by downloading the previous year's question papers from the official website of the organization. RBSE class 12th board exams 2024-25 will be conducted in the month of March 2025 however the detailed date sheet is not yet available on the official website of the Rajasthan Board of Secondary Education. You can download the question papers in a pdf format and keep them for their revision for the board exams. The question papers will be helpful during the revision procedure for the class 12 candidates of the RBSE Board authority. Check out the details information related to the RBSE 12th Maths Previous Year Question Paper given below and you can prepare yourself for the board exam as per the board exam.

 

Unit

Topics and NCERT Solution

Unit 1: Relations and Functions


  • Types of relations: Equivalence, Symmetric, Transitive and Reflexive Relations

  • Functions: One to one and onto functions, the inverse of a function, and composite functions.

  • Binary operations

  • Inverse Trigonometric Functions And Graphs of inverse trigonometric functions: properties of inverse, range, domain, principal value branch.

Unit 2: Algebra

  • Matrices Properties of addition, scalar multiplication, and non-commutativity of multiplication of matrices

  • Existence of non-zero matrices

  • Concept of elementary row and column operations.

  • Invertible matrices and proof of the uniqueness of inverse

  • Determinants: Consistency and inconsistency

  • Solutions of systems of linear equations in two or three variables using the inverse of a matrix

Unit 3: Calculus

  • Continuity and Differentiability: Concept of logarithmic and exponential functions.

  • Lagrange’s and Rolle’s Mean Value Theorems

  • Applications of Derivatives

  • Integrals

  • Applications of the Integrals in finding areas under Straight lines, simple curves, circles/ellipse/parabolas.

  • Differential Equations: Introduction, order, and degree

  • Formation of a differential equation, solution of differential equations, Solutions of the linear differential equation of the form: dy/dx + py = q

Unit 4: Vectors and 3-D Geometry

  • Vectors: Vectors and scalars

  • Magnitude and direction of a vector, direction ratios of a vector, and direction cosines.

  • Types of vectors, components of a vector, position vector of a point dividing a line in an assigned ratio.

  • Geometrical Evaluation, properties, and application of scalar (dot) product of vectors, a scalar triple product of vectors, vector (cross) product of vectors

  • Direction ratios and direction cosines of a line connecting two points.

  • Cartesian equation and vector equation of a line and a plane.

  • Angle between line and two lines

  • Angle between a plane and two planes

Unit 5: Linear Programming

  • Definition, objective function, optimization, and constraints

  • Different types of linear programming problems.

  • Mathematical formulation of linear programming problems.

  • Graphical method of solution for linear equation problems in two variables, feasible and infeasible regions, feasible and infeasible solutions

Unit 6: Probability


  • Conditional probability and Multiplication theorem on probability, total probability

  • Independent events

  • Baye’s theorem

  • Random variable, Mean and variance of the random variable and its probability distribution

  • Binomial distribution

RBSE Class 12th Maths Syllabus 2024-25

Unit-I: Relations and Functions

1 Relations and Functions 

1.1 Introduction 

1.2 Types of relations

1.3 Types of functions

1.4 Composition of functions and Invertible function

2 Inverse Trigonometric Functions

2.1 Introduction

2.2 Basic Concepts

2.3 Properties of inverse trigonometric functions

Unit-II: Algebra

3 Matrices 

3.1 Introduction

3.2 Matrix

3.3 Types of matrices

3.4 Operations on Matrices

3.5 Transpose of a Matrix

3.6 Symmetric and skew-symmetric matrices. 

3.7 Invertible matrices 

4 Determinants 

4.1 Introduction

4.2 Determinant

4.3 Area of a Triangle

4.4 Minors and Co-factors

4.5 Adjoint and inverse of a matrix

4.6 Applications of Determinants and Matrices

Unit-III: Calculus

5 Continuity and Differentiability

5.1 Introduction

5.2 Continuity 

5.3 Differentiability

5.4 Exponential and logarithmic functions

5.5 Logarithmic differentiation

5.6 Derivatives of Functions in Parametric Forms

5.7 Second order derivative

6 Applications of Derivatives

6.1 Introduction

6.2 Rate of change of quantities

6.3 Increasing/decreasing functions

6.4 Maxima and minima 

7 Integrals

7.1 Introduction 

7.2 Integration as inverse process of differentiation 

7.3 Methods of Integration 

7.4 Integrals of Some Particular Functions 

7.5 Integration by Partial Fractions 

7.6 Integration by Parts 

7.7 Definite Integral 

7.8 Fundamental Theorem of Calculus 

7.9 Evaluation of Definite Integrals by Substitution 

7.10 Some Properties of Definite Integrals

8 Applications of The  Integrals

8.1 Introduction

8.2 Area Under Simple Curves

9 Differential Equations

9.1 Introduction

9.2 Basic concepts

9.3 General and Particular solutions of a differential equation

9.4 Methods of solving first order first degree differential equations

Unit-IV: Vectors and Three-Dimensional Geometry

10 Vector Algebra

10.1 Introduction

10.2 Some Basic Concepts 

10.3 Types of Vectors 

10.4 Addition of Vectors 

10.5 Multiplication of a Vector by a Scalar 

10.6 Product of Two Vectors.

11 Three - dimensional Geometry

11.1 Introduction

11.2 Direction cosines and direction ratios of a line

11.3 Equation of a line in space

11.4 Shortest distance between two lines.

Unit-V: Linear Programming

12 Linear Programming

12.1 Introduction,

12.2 Linear programming problems and its mathematical formulation

Unit-VI: Probability

13 Probability

13.1 Introduction

13.2 Conditional probability

13.3 Multiplication theorem on probability

13.4 Independent events

13.5 Bayes’ theorem

RBSE 12th Maths Exam Pattern 2025

Units

Marks 

Relations and Functions

7

Algebra

10

Calculus

36

VECTORS AND THREE - DIMENSIONAL GEOMETRY

16

LINEAR PROGRAMMING

4

Probability

7

Steps to download RBSE Class 12 Previous Year Question Papers

The official website offers the class 12 RBSE previous year question papers for every topic. For the candidates reference, a few important actions to take to obtain these RBSE class 12 previous year question papers with solutions PDF are listed below.

Step 1: Go to rajeduboard.rajasthan.gov.in, the official website.
Step 2: Go to the “Books/Model Paper/ Old Question Papers” option on the home page.
Step 3: Students need to click the link to the Rajasthan Model paper.
Step 4: Save the subject-specific link to your computer for later use.

RBSE 12th Maths Previous Year Question Paper Pattern

Some of the instructions are printed at the top of the question papers when they are distributed to the candidates. You can check out all the instructions mentioned on the question paper as per the RBSE 12th Maths Previous Year Question Paper given below:

  • Questions 1 to 10 will carry one mark on the question paper.

  • Questions 10 to 15 will carry 2 marks.

  • Questions 16 to 25 will carry 3 marks

  • The last four questions will be of 6 marks.

  • The last question will most probably have a graph to be drawn on the graph paper.

  • You will be provided the graph paper by the examiner and it must be attached to the answer sheet.

RBSE 12th Maths Previous Year Question Paper: Highlights

It is important to check out some highlights related to the RBSE 12th Maths Previous Year Question Paper. Check out the pointers given below and prepare accordingly:

  • The practical exams may be held in February 2025, while the RBSE class 12 board exam is scheduled for March 2025. 

  • To pass the 2025 RBSE class 12 board exams, you need to receive at least 33% of the possible points. In both the theory and practical exams, students must receive 33% of the possible points. 

  • The Rajasthan Board of Secondary Education's official website offers the RBSE class 12 board exam date sheet 2023 for download. The organization will shortly release the details date sheet to their official website.

  • By going to the Rajasthan Board of Secondary Education's official website, aspirants can also obtain the sample papers for the RBSE class 12 board exam. To do well on the board exams, you can practice these question papers.

 

 

 

 

 

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