Textbook And Solution from NCERT
BIHAR BOARD EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and Bihar School Examination Board [BSEB] has announced class 12 Board exams date. This year class 12th board exam will be started from 01 February 2025 and will last upto 15 February 2025, it will take around 15 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. The board is going to start the practical exams on January 10, 2025. The last practical exam will be on January 20, 2025.
NCERT SYLLABUS
| UNIT | TOPICS |
| Relations and Functions | Relations and Functions |
| Inverse Trigonometric Functions | |
| Algebra | Matrices |
| Determinants | |
| Calculus | Continuity and Differentiability |
| Applications of Derivatives | |
| Integrals | |
| Applications of the Integrals | |
| Differential Equations | |
| Vectors and Three-Dimensional Geometry | Vectors |
| Three-dimensional Geometry | |
| Linear Programming | |
| Probability | |
Unit-I: Relations and Functions
Relations and Functions
Types of relations: reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, 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 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
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 the inverse of a matrix.
Unit-III: Calculus
Continuity and Differentiability
Continuity and differentiability, a derivative of composite functions, chain rule, a derivative 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.
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 an inverse process of differentiation. Integration of a variety of functions by substitution, by 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), 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 d
...BIHAR BOARD EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and Bihar School Examination Board [BSEB] has announced class 12 Board exams date. This year class 12th board exam will be started from 01 February 2025 and will last upto 15 February 2025, it will take around 15 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. The board is going to start the practical exams on January 10, 2025. The last practical exam will be on January 20, 2025.
Paper Format
Paper Type - Theory + Internal Assessment
Paper Marks - Theory (80 Marks) + Internal Assessment (20 Marks)
Maximum Total marks - 80 + 20 = 100 Marks
Time duration - 3 hours (Only For Theory Exam)
Unit & and their Weightage-
| S.No. | Units | Weightage |
| 1. | Relations and Functions | 8 marks |
| 2. | Algebra | 10 marks |
| 3. | Calculus | 35 marks |
| 4. | Vectors and three - Dimensional Geometry | 14 marks |
| 5. | Linear Programming | 5 marks |
| 6. | Probability | 8 marks |
| Total | 80 marks | |
| Internal Assessment | ||
| 1. | Periodic Test ( Baesd 2 out of 3 tests conducted) | 10 marks |
| 2. | Mathematics Activities | 10 marks |
| Grand Total | 100 | |
TO KNOW MORE
For Official Website: click here
BIHAR BOARD EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and Bihar School Examination Board [BSEB] has announced class 12 Board exams date. This year class 12th board exam will be started from 01 February 2025 and will last upto 15 February 2025, it will take around 15 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. The board is going to start the practical exams on January 10, 2025. The last practical exam will be on January 20, 2025.
Conditions of eligibility for admission to class XII
1. Candidates who have been studying in a School recognised by or affiliated to this Board or any other recognised Board of Secondary Education in India.
2. Candidates can not take admission directly in class XII.
3. Candidates had completed a regular course of study for class XI and passed class XI examination from a school affilicated to this Board.
4. The candidates percentage for attendance should be 75% so that the Board to make him/her eligible for the Examinations.
5. Candidate can be admitted to a school only on the transfer of the parents(s) or shifting of their families from one place to another, after procuring from the student the marksheet and the Transfer Certificate duly countersigned by the Educational Authorities of the Board concerned.
6. There is no age limit for candidates taking the Examination.
7. Candidate should have doucments in support of his having passed the qualifying or equivalent qualifying examination.
BIHAR BOARD EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and Bihar School Examination Board [BSEB] has announced class 12 Board exams date. This year class 12th board exam will be started from 01 February 2025 and will last upto 15 February 2025, it will take around 15 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. The board is going to start the practical exams on January 10, 2025. The last practical exam will be on January 20, 2025.
TIME TABLE - MATHEMATICS
| Date and Day | Code and Subject | Time and Shift |
| 4.02.2025 (Tuesday) | 121 – Mathematics (I.Sc) | Morning Shift (9:30 AM to 12:45 PM) |
327 – Mathematics (I.A) | ||
| 15.02.2025 (Saturday) | 488- Mathematics (Voc) | Evening (2:00 PM to 5:15 PM) |
TIME TABLE - ALL SUBJECTS
| SINO. | Day | Date | Shift & Time | Subject |
| 1 | Saturday | 1.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 119 – Biology (I.Sc) |
| 320 – Philosophy (IA) | ||||
| Evening (2:00 PM to 5:15 PM) | 326 – Economics (I.A) | |||
| 219 - Economics (I.Com) | ||||
| 2 | Tuesday | 4.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 121 – Mathematics (I.Sc) |
| 327 – Mathematics (I.A) | ||||
| Evening (2:00 PM to 5:15 PM) | 322 – Political Science (I.A) | |||
| 402 – Foundation Course (Voc) | ||||
| 3 | Wednesday | 5.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 117 – Physics (I.Sc) |
| Evening (2:00 PM to 5:15 PM) | 323 – Geography (I.A) | |||
| 217 – Business Studies (I.com) | ||||
| 4 | Thursday | 6.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 105/124 – English (I.Sc) |
| 205/223 – English (I.com) | ||||
| Evening (2:00 PM to 5:15 PM) | 306/331 – Hindi (I.A) | |||
| 401 - Hindi (Voc) | ||||
| 5 | Friday |
BIHAR BOARD EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and Bihar School Examination Board [BSEB] has announced class 12 Board exams date. This year class 12th board exam will be started from 01 February 2025 and will last upto 15 February 2025, it will take around 15 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. The board is going to start the practical exams on January 10, 2025. The last practical exam will be on January 20, 2025.
Preparing for the Bihar Board Class 12 Mathematics exam requires a well-organized and systematic approach. Mathematics can be challenging, but with consistent effort and focus, you can do well. Here’s how you can prepare effectively:
1. Understand the Syllabus & Exam Pattern
i. Syllabus: Review the official syllabus to know which chapters are included and their weightage. Major topics generally include:
Algebra (Matrices, Determinants, etc.)
Calculus (Differentiation, Integration)
Vectors and 3D Geometry
Probability & Statistics
Relations and Functions
Linear Programming
ii. Exam Pattern: Understand the structure of the exam, including:
Types of questions (Multiple Choice, Short Answer, Long Answer)
Mark distribution for each section
2. Prioritize Topics Based on Weightage
i. Focus more on the chapters that carry more marks. For example, Calculus and Algebra often have a significant weightage in the exam.
ii. Practice the high-priority topics first and make sure you are comfortable with them before moving on to others.
3. Make a Study Plan
i. Create a timetable that divides your time efficiently between theory, practice, and revision.
ii. Allocate more time to difficult topics, but don’t neglect easier ones.
iii. Set daily goals (e.g., solving 20 problems from a particular chapter) and track your progress.
4. Study from NCERT Textbook
i. The NCERT book is the most important resource for Class 12 Maths. All questions in the exam are based on concepts taught in this book.
ii. Read each chapter thoroughly and try to understand the theory before jumping to problems.
iii. Pay attention to solved examples as they explain step-by-step methods.
5. Practice Regularly
i. Practice is key in mathematics! Solve as many problems as possible from different chapters. It will help you gain confidence and improve speed.
ii. Start with simple questions, then gradually increase the difficulty level. Work on both subjective and objective questions.
iii. Focus on solving previous year papers and model papers. This will help you understand the exam pattern and boost your confidence.
6. Focus on Important Topics
i. Calculus: Differentiation, integration, and application of derivatives. This is a major section, so practice solving problems involving real-world applications.
ii. Algebra: Matrices, determinants, and quadratic equations. These often have direct formula-based questions.
iii. 3D Geometry & Vectors: Understand the basics of vector operations and geometry of lines and planes in 3D.
iv. Probability and Statistics: Basic concepts like permutations and combinations, mean, median, standard deviation, and probability are crucial.
v. Linear Programming: Know how to formulate linear programming problems and solve them using graphical methods and simplex methods.
7. Solve Previous Year Papers & Mock Tests
i. Solve past year’s question papers under exam conditions to understand time management.
ii. Identify frequently asked questions or topics that tend to repeat and focus on those areas.
iii. Take mock tests to simulate the exam environment and evaluate your performance.
8. Revise Important Formulas & Theorems
i. Maintain a formula book where you write down all important formulas, theorems, and methods.
ii. Keep revising these formulas and theorems, especially before the exam.
iii. Make sure you understand when and how to apply them in different problems.
9. Focus on Concepts, Not Just Memorization
i. Mathematics is all about understanding concepts. Don’t just memorize formulas — understand their derivations and applications.
ii. If you don’t understand something, ask your teacher or peers. Clarifying doubts is crucial for better understanding.
10. Stay Calm and Confident
i. Stay confident in your preparation. Stress and panic can make the situation worse.
ii. Exam Day Tips: On the day of the exam, stay calm, read all the instructions carefully, and attempt the questions methodically.
iii. If you get stuck on one question, don’t waste too much time on it. Move on and return to it later.
BIHAR BOARD EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and Bihar School Examination Board [BSEB] has announced class 12 Board exams date. This year class 12th board exam will be started from 01 February 2025 and will last upto 15 February 2025, it will take around 15 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. The board is going to start the practical exams on January 10, 2025. The last practical exam will be on January 20, 2025.
KEY HIGHLIGHTS OF THE BOARD EXAM
| Particulars | Details |
| Exam Name | BiharBoard Class 12th Board Exam |
| Exam Conducted By | Bihar School Examination Board [BSEB] |
| Exam Year | 2025 |
| Exam Starts From | 1 February 2025 |
| Exam Ends | 15 February 2025 |
| Students Appeared Last Year | Around 13 Lakh |
| Official Website | click here |
TIME TABLE
This Year exam will be conducted for the following subject codes & their subjects:
| SINO. | Day | Date | Subject |
| 1 | Saturday | 1.02.2025 | 119 – Biology (I.Sc) |
| 320 – Philosophy (IA) | |||
| 326 – Economics (I.A) | |||
| 219 - Economics (I.Com) | |||
| 2 | Tuesday | 4.02.2025 | 121 – Mathematics (I.Sc) |
| 327 – Mathematics (I.A) | |||
| 322 – Political Science (I.A) | |||
| 402 – Foundation Course (Voc) | |||
| 3 | Wednesday | 5.02.2025 | 117 – Physics (I.Sc) |
| 323 – Geography (I.A) | |||
| 217 – Business Studies (I.com) | |||
| 4 | Thursday | 6.02.2025 | 105/124 – English (I.Sc) |
| 205/223 – English (I.com) | |||
| 306/331 – Hindi (I.A) | |||
| 401 - Hindi (Voc) | |||
| 5 | Friday | 7.02.2025 | 118 – Chemistry (I.Sc) |
| - | |||
| 305/330 – English (I.A) | |||
| 403 – English (Voc) | |||
| 6 |
BIHAR BOARD EXAM CLASS 12TH LATEST UPDATE
Finally, wait is over and Bihar School Examination Board [BSEB] has announced class 12 Board exams date. This year class 12th board exam will be started from 01 February 2025 and will last upto 15 February 2025, it will take around 15 days to complete the class 12th board exam. The board will conduct the class 12 exam in two shifts. The first-shift exams are conducted from 9:30 am to 12:45 pm while the second shift exam will be from 2 pm to 5:15 pm. The board is going to start the practical exams on January 10, 2025. The last practical exam will be on January 20, 2025.
KEY HIGHLIGHTS OF THE BOARD EXAM
| Particulars | Details |
| Exam Name | BiharBoard Class 12th Board Exam |
| Exam Conducted By | Bihar School Examination Board [BSEB] |
| Exam Year | 2025 |
| Exam Starts From | 1 February 2025 |
| Exam Ends | 15 February 2025 |
| Students Appeared Last Year | Around 13 Lakh |
| Official Website | click here |
TIME TABLE
| SINO. | Day | Date | Shift & Time | Subject |
| 1 | Saturday | 1.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 119 – Biology (I.Sc) |
| 320 – Philosophy (IA) | ||||
| Evening (2:00 PM to 5:15 PM) | 326 – Economics (I.A) | |||
| 219 - Economics (I.Com) | ||||
| 2 | Tuesday | 4.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 121 – Mathematics (I.Sc) |
| 327 – Mathematics (I.A) | ||||
| Evening (2:00 PM to 5:15 PM) | 322 – Political Science (I.A) | |||
| 402 – Foundation Course (Voc) | ||||
| 3 | Wednesday | 5.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 117 – Physics (I.Sc) |
| Evening (2:00 PM to 5:15 PM) | 323 – Geography (I.A) | |||
| 217 – Business Studies (I.com) | ||||
| 4 | Thursday | 6.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 105/124 – English (I.Sc) |
| 205/223 – English (I.com) | ||||
| Evening (2:00 PM to 5:15 PM) | 306/331 – Hindi (I.A) | |||
| 401 - Hindi (Voc) | ||||
| 5 | Friday | 7.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 118 – Chemistry (I.Sc) |
| - | ||||
| Evening (2:00 PM to 5:15 PM) | 305/330 – English (I.A) | |||
| 403 – English (Voc) | ||||
| 6 | Saturday | 8.02.2025 | Morning Shift (9:30 AM to 12:45 PM) | 106/125 – Hindi (I.Sc) |
| 206/224 – Hindi (I.com) | ||||
The Bihar School Examination Board (BSEB) has released the Class 12 results for 2025. Access your intermediate exam scorecard online and check detailed performance statistics...
| Posted On: 25 Mar, 2025 | |
| Read More |
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According to the official notice, the answer key was prepared by a team of subject experts after evaluating the answers provided by the candidates...
| Posted On: 06 Mar, 2025 | |
| Read More |
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Both school authorities and students can access the admit cards, which must be downloaded by January 9, 2025...
| Posted On: 30 Dec, 2024 | |
| Read More |
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The BSEB has also released the dates for the Inter practical exams, which will take place from January 10 to 20, 2025...
| Posted On: 09 Dec, 2024 | |
| Read More |
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