CBSE EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Central Board of Secondary Education (CBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 15 February 2025 and will last upto 04 April 2025, it will take around 49 days to complete the class 12th board exam. The first exam will be held on 15 February 2025 for Entrepreneurship (Including Vocational Students) subject and the last exam will be held on 04 April 2025 for Psychology subject. The practical exams/Internal Assesment/Projects & the board's annual theory examinations are scheduled to start w.e.f 01th January 2025 and 15th February 2025.

OFFICIAL SYLLABUS

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.

2.  Inverse Trigonometric Functions

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

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 the 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).

2. Determinants

Determinants 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 a system of linear equations by examples, solving a system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.

Unit-III: Calculus

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 is a derivative of functions expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.

2. 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 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 is the inverse process of differentiation. Integration of a variety of functions by substitution, partial fractions, and by parts, Evaluation of simple integrals.

Definite integrals as a limit of a sum, 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, circles/ parabolas/ellipses (in standard form only), and Area between any of

CBSE EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Central Board of Secondary Education (CBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 15 February 2025 and will last upto 04 April 2025, it will take around 49 days to complete the class 12th board exam. The first exam will be held on 15 February 2025 for Entrepreneurship (Including Vocational Students) subject and the last exam will be held on 04 April 2025 for Psychology subject. The practical exams/Internal Assesment/Projects & the board's annual theory examinations are scheduled to start w.e.f 01th January 2025 and 15th February 2025.

OFFICIAL SYLLABUS

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.

2.  Inverse Trigonometric Functions

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

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 the 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).

2. Determinants

Determinants 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 a system of linear equations by examples, solving a system of linear equations in two or three variables (having unique solution) using the inverse of a matrix.

Unit-III: Calculus

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 is a derivative of functions expressed in parametric forms. Second-order derivatives. Rolle’s and Lagrange's Mean Value Theorems (without proof) and their geometric interpretation.

2. 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 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 is the inverse process of differentiation. Integration of a variety of functions by substitution, partial fractions, and by parts, Evaluation of simple integrals.

Definite integrals as a limit of a sum, 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, circles/ parabolas/ellipses (in standard form only), and Area between any of the two above said curves (the region should be clearly identifiable).

5. Differential Equations

Definition, order and degree, general and particular solutions of a differential equation. Formation of differential equation whose general solution is given. 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 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.

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, a scalar triple 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, 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. Distance of a point from a plane.

Unit-V: Linear Programming

Linear Programming

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

Unit-VI: Probability

Probability

Conditional probability, multiplication theorem on probability, independent events, total probability, Bayes’ theorem, Random variable, and its probability distribution, mean and variance of a random variable. Binomial probability distribution.

Prescribed Books:

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.

TO KNOW MORE

For Official Website: click here

For Time Table: click here

For Practical & Projects Circulars: click here

CBSE EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Central Board of Secondary Education (CBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 15 February 2025 and will last upto 04 April 2025, it will take around 49 days to complete the class 12th board exam. The first exam will be held on 15 February 2025 for Entrepreneurship (Including Vocational Students) subject and the last exam will be held on 04 April 2025 for Psychology subject. The practical exams/Internal Assesment/Projects & the board's annual theory examinations are scheduled to start w.e.f 01th January 2025 and 15th February 2025.

TIME TABLE - MATHEMATICS

TIME TABLE - ALL SUBJECTS

CBSE EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Central Board of Secondary Education (CBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 15 February 2025 and will last upto 04 April 2025, it will take around 49 days to complete the class 12th board exam. The first exam will be held on 15 February 2025 for Entrepreneurship (Including Vocational Students) subject and the last exam will be held on 04 April 2025 for Psychology subject. The practical exams/Internal Assesment/Projects & the board's annual theory examinations are scheduled to start w.e.f 01th January 2025 and 15th February 2025.

TIME TABLE - MATHEMATICS

TIME TABLE - ALL SUBJECTS

TO KNOW MORE

For Official Website: click here

For Time Table: click here

For Practical & Projects Circulars: click here

CBSE EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Central Board of Secondary Education (CBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 15 February 2025 and will last upto 04 April 2025, it will take around 49 days to complete the class 12th board exam. The first exam will be held on 15 February 2025 for Entrepreneurship (Including Vocational Students) subject and the last exam will be held on 04 April 2025 for Psychology subject. The practical exams/Internal Assesment/Projects & the board's annual theory examinations are scheduled to start w.e.f 01th January 2025 and 15th February 2025.

CBSE Mathematics Analysis 2022

CBSE Class 12 Mathematics paper 2022 was conducted on June 7, 2022. The Mathematics exam paper was easy to moderate in difficulty level. Students were able to complete the paper on time.. it was a very standard paper with few questions of moderate difficulty level

1. This question paper contains 50 questions, out of which 40 questions are to be attempted. All questions carry equal marks.

2. The question paper consists of three Sections-Section A, B, and C.

3. Section A consists of 20 questions, attempt any 16 questions from any 20 questions Q. No. 1 to 20.

4. Section B also consists of 20 questions, attempt any 16 questions from Q. No. 21 to 40.

5. Section C consists of 10 questions including 1 Case Study. Attempt any 08 questions from Q. No. 41 to 50.

6. There is only one correct option for every Multiple Choice Question (MCQ), Marks will not be awarded for answering more than one option.

7. All questions carry equal marks. There is no negative marking.

Major Highlights

1. The difficulty level of the CBSE Mathematics paper 2022: Easy to moderate.

2. The exam pattern and difficulty level were similar to that of the CBSE sample paper.

3. The question paper is a balanced and student's friendly paper which is a perfect mix of analysis, application, and memory-based questions.

4. There was nothing out of the prescribed CBSE syllabus. All the questions asked were straight from the NCERT books

5. All the questions in the paper were asked from the latest CBSE syllabus.

CBSE XII Analysis From Other Resources

CBSE Mathematics Analysis, 2020

Analysis has been done of the paper which was conducted in 2020.

Paper Pattern

CBSE EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Central Board of Secondary Education (CBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 15 February 2025 and will last upto 04 April 2025, it will take around 49 days to complete the class 12th board exam. The first exam will be held on 15 February 2025 for Entrepreneurship (Including Vocational Students) subject and the last exam will be held on 04 April 2025 for Psychology subject. The practical exams/Internal Assesment/Projects & the board's annual theory examinations are scheduled to start w.e.f 01th January 2025 and 15th February 2025.

CBSE Mathematics Analysis 2022

CBSE Class 12 Mathematics paper 2022 was conducted on June 7, 2022. The Mathematics exam paper was easy to moderate in difficulty level. Students were able to complete the paper on time.. it was a very standard paper with few questions of moderate difficulty level

1. This question paper contains 50 questions, out of which 40 questions are to be attempted. All questions carry equal marks.

2. The question paper consists of three Sections-Section A, B, and C.

3. Section A consists of 20 questions, attempt any 16 questions from any 20 questions Q. No. 1 to 20.

4. Section B also consists of 20 questions, attempt any 16 questions from Q. No. 21 to 40.

5. Section C consists of 10 questions including 1 Case Study. Attempt any 08 questions from Q. No. 41 to 50.

6. There is only one correct option for every Multiple Choice Question (MCQ), Marks will not be awarded for answering more than one option.

7. All questions carry equal marks. There is no negative marking.

Major Highlights

1. The difficulty level of the CBSE Mathematics paper 2022: Easy to moderate.

2. The exam pattern and difficulty level were similar to that of the CBSE sample paper.

3. The question paper is a balanced and student's friendly paper which is a perfect mix of analysis, application, and memory-based questions.

4. There was nothing out of the prescribed CBSE syllabus. All the questions asked were straight from the NCERT books

5. All the questions in the paper were asked from the latest CBSE syllabus.

CBSE XII Analysis From Other Resources

CBSE Mathematics Analysis, 2020

Analysis has been done of the paper which was conducted in 2020.

Paper Pattern

Marks Distribution Chapter-wise

Paper Analysis

The paper was of moderate level. While solving the Maths paper, students found that MCQs were tricky and questions asked from integration were difficult. The maximum number of questions were asked from the Calculus. However, the time was quite manageable if one had done good practice before the exam.

Major Highlights

1. The difficulty level of the CBSE Mathematics paper 2020: Moderate.

2. The pattern of the CBSE Class 12 Mathematics paper was similar to the latest CBSE Class 12 Mathematics Sample Paper 2020 (Issued by CBSE).

3. All the questions in the paper were asked from the latest CBSE syllabus and based on NCERT textbooks.

4. The average range of expected marks was 60+ (out of 80).

CBSE EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Central Board of Secondary Education (CBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 15 February 2025 and will last upto 04 April 2025, it will take around 49 days to complete the class 12th board exam. The first exam will be held on 15 February 2025 for Entrepreneurship (Including Vocational Students) subject and the last exam will be held on 04 April 2025 for Psychology subject. The practical exams/Internal Assesment/Projects & the board's annual theory examinations are scheduled to start w.e.f 01th January 2025 and 15th February 2025.

KEY HIGHLIGHTS OF THE BOARD EXAM

This Year exam will be conducted for the following subject codes & their subjects:

CBSE EXAM CLASS 12TH LATEST UPDATE

Finally, wait is over and Central Board of Secondary Education (CBSE) has announced class 12 Board exams date. This year class 12th board exam will be started from 15 February 2025 and will last upto 04 April 2025, it will take around 49 days to complete the class 12th board exam. The first exam will be held on 15 February 2025 for Entrepreneurship (Including Vocational Students) subject and the last exam will be held on 04 April 2025 for Psychology subject. The practical exams/Internal Assesment/Projects & the board's annual theory examinations are scheduled to start w.e.f 01th January 2025 and 15th February 2025.

KEY HIGHLIGHTS OF THE BOARD EXAM

This Year exam will be conducted for the following subject codes & their subjects:

IMPORTANT INSTRUCTIONS

1. All students are required to reach at their exam centres by 9:30 AM in the morning sharp.

2. The practical exams/Internal Assesment/Projects are scheduled to start w.e.f  01th January 2025 and 15th February 2025.

3. Maximum marks allotted to each subjects is 100 with marks distribution among theory, practical, project and Internal assessment components.

HOW TO CHECK TIME TABLE

Students who are planning to appear for the CBSE Class 12th exam can download their complete timetable by following these simple steps:

Step 1: Go to the official website of the Central Board of Secondary Education at www.cbse.gov.in

Step 2: On the homepage, find and click on the link for “CBSE Class 12th Time Table”

Step 3: A new page will open displaying the CBSE exam date sheet in PDF format.

Step 4: Carefully review the date sheet to get all the necessary details regarding the CBSE exam.

Step 5: Download and save the timetable. It is also recommended to take a printout for future reference.

TO KNOW MORE

For Official Website: click here

For Time Table: click here

For Practical & Projects Circulars: click here