NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions: Class 12 Maths Chapter 1 deals with the Relations and Functions of quantities or...
NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions
November 11, 2024Established in the year 1975, the Mizoram Board of School Education (MBSE) is administered by the State Government. The Mizoram Board supervises the academic activities for the Secondary and Senior Secondary levels in Mizoram. The Board is responsible for conducting MBSE Classes 10 and 12 board exams.
MBSE conducts the Class 12 exam usually in March/ April every year. The minimum passing mark for the Mizoram Board for the Class 12 exam is 33%. If a student fails in one or more subjects in the regular board exam, they can appear for the supplementary exam held the same year. Scroll down to learn more about MBSE Class 12 syllabus, exam pattern, preparation tips, exam date, and more details.
The Mizoram Board of School Education holds the annual board exam. Students must register and pay a specified fee to appear for the MBSE Class 12 exam. Every year, nearly 15,000 students take the exam. Students appearing for the Mizoram Board Class 12 exam should be familiar with the basic details to prepare and score good marks accordingly. Before we get into the details of the Mizoram Board Class 12 exams, let us check the overview in the table below:
Particulars |
Details |
Conducting Body |
Mizoram Board of School Education |
Headquarters Address |
Mizoram Board of School Education Chaltlang, Aizawl Mizoram – 796012 (India) |
Mode of Registration |
Online |
Mode of Exam |
Offline |
Academic Subjects |
Science Stream:
|
Exam Duration |
3 Hours |
Maximum Marks |
100 |
Minimum Pass Percentage |
33% |
Eligibility Criteria |
Students must have:
|
Students who have cleared the Class 11 annual exam can register for the Class 12 board exam. Students must score at least 33% in each subject to pass the class 11 exam.
Learners who seek admission in MBSE for Secondary/ Senior Secondary/ Skill and Vocation education need to submit scanned copies of the original documents while registering for admission. The documents required for admission are as follows:
In Mizoram Board Class 12, the duration for each subject exam is 3 hours. Students get an extra 15 minutes at the beginning of each exam to fill in details on the answer sheet and to read and understand the instructions. The MSEB Class 12 exam will be pen-paper based. The subjects without a practical paper will be for a maximum of 100 marks. The theory papers for subjects with practicals will be for maximum of 70 marks, and the practical paper will carry 30 marks. So each subject paper will be for a total of 100 marks. The practical exam is conducted separately before the theory exam.
Class 12 Mizoram Board examination question paper usually consists of the following types of questions:
Question Type |
Mark |
Very Short Answer Questions |
1 Mark |
Short Answer Type Questions-I |
2 Marks |
Short Answer Type Questions-II |
3 Marks |
Long Answer Type Questions |
4 or 5 Marks |
Knowing the syllabus is important to prepare well for the board exam. The stream-wise subjects in MBSE Class 12 are tabulated below. From one stream students can study any two languages and three subjects. Out of two language subjects, one should be English or Hindi. General Studies, Work Experience, and Physical and Health Education are common and compulsory for all the three streams – Arts, Commerce, and Science streams.
The list of stream-wise subjects for Mizoram Board Class 12 is as follows:
Stream |
Subject |
I and II language |
English, Mizo, Hindi, Assamese, Bengali, Manipuri, Nepali, Khasi, Garo, Tynyidie. |
Arts Stream |
Political Science, History, Education, Geography, Economics, Home Science, Sociology, Psychology, Public Administration, Mathematics, Computer Science. |
Science Stream |
Physics, Chemistry, Biology, Mathematics, Home Science, Computer Science, Geology. |
Commerce Stream |
Business Studies, Accountancy, Economics, Business Mathematics, Computer Science. |
Students are advised to spend quality time solving problems based on each topic. They should also attempt questions for different difficulty levels. Below is the syllabus for Mizoram Board Class 12 Maths:
Chapter No. |
Chapter Name |
1 |
Relations And Functions |
2 |
Inverse Trigonometric Functions |
3 |
Matrices |
4 |
Determinants |
5 |
Continues and Differentiability |
6 |
Application of Derivative |
7 |
Integrals |
8 |
Application of Integrals |
9 |
Differential Equations |
10 |
Vector Algebra |
11 |
Three Dimensional Geometry |
12 |
Linear Programming |
13 |
Probability |
The MBSE Class 12 Physics syllabus covers a wide range of concepts. To avoid confusion among them, students should practice sample questions. Below is the chapter-wise syllabus for MBSE 12th Physics:
Chapter No. |
Chapter Name |
1 |
Electric Charges and Fields |
2 |
Electrostatic Potential and Capacitance |
3 |
Current Electricity |
4 |
Moving Charges and Magnetism |
5 |
Magnetism and Matter |
6 |
Electromagnetic Induction |
7 |
Alternating Current |
8 |
Electromagnetic Waves |
9 |
Ray Optics and Optical Instruments |
10 |
Wave Optics |
11 |
Dual Nature of Radiation and Matter |
12 |
Atoms |
13 |
Nuclei |
14 |
Semiconductor Electronics: Materials, Devices and Simple Circuits |
In MBSE Class 12 Chemistry, apart from other concepts, the questions on balancing equations will be more complex than Class 11. Thus, they should allocate separate time to practice the equations. The MBSE Class 12 syllabus for Chemistry is as below:
Chapter No. |
Chapter Name |
1 |
The Solid State |
2 |
Solution |
3 |
Electrochemistry |
4 |
Chemical Kinetics |
5 |
Surface Chemistry |
6 |
General Principles and Process of Isolation of Elements |
7 |
p-Block Elements |
8 |
d-and f-Block Elements |
9 |
Coordination Compounds |
10 |
Haloalkanes and Haloarenes |
11 |
Alcohols, Phenols, and Ether |
12 |
Aldehydes, Ketones, and Carboxylic Acids |
13 |
Amines |
14 |
Biomolecules |
15 |
Polymers |
16 |
Chemistry in Everyday Life |
Biology is an interesting subject with a vast syllabus. To answer the Biology questions comprehensively, students should remember all the salient features and characteristics, along with neatly labelled diagrams. Students can find the syllabus for Mizoram Board Biology Class 12 in the below table:
Chapter No. |
Chapter Name |
1 |
Reproduction in Organisms |
2 |
Sexual Reproduction in Flowering Plants |
3 |
Human Reproduction |
4 |
Reproductive Health |
5 |
Principle of Inheritance and Variation |
6 |
Molecular Basis of Inheritance |
7 |
Evolution |
8 |
Human Health and Disease |
9 |
Strategies for Enhancement in Food Production |
10 |
Microbes in Human Welfare |
11 |
Biotechnology: Principles and Process |
12 |
Biotechnology and Its Applications |
13 |
Organisms and Populations |
14 |
Ecosystem |
15 |
Biodiversity and Its Conservation |
16 |
Environmental Issues |
An exam blueprint provides information on the marks weightage on all the subjects. It will help students know the chapters with higher weightage and focus more on them. No student would want to spend weeks studying the chapters with the lowest weightage, would you? Thus, students are advised to refer to the subject-wise exam blueprint and set the study plan accordingly.
Students can refer to the table below for the unit-wise weightage:
Unit No. |
Unit Name |
Marks Weightage |
1 |
Electrostatics |
8 |
2 |
Current Electricity |
7 |
3 |
Magnetic Effect of Current and Magnetism |
8 |
4 |
Electromagnetic Induction and Alternating Current |
8 |
5 |
Electromagnetic Waves |
3 |
6 |
Optics |
14 |
7 |
Dual Nature of Matter |
4 |
8 |
Atoms and Nuclei |
6 |
9 |
Electronic Devices |
7 |
10 |
Communication Systems |
5 |
Total |
70 |
Knowing the blueprint for a subject is beneficial for an effective exam routine. Refer to the MBSE Class 12 Chemistry blueprint 2024 below:
Unit No. |
Unit Name |
Marks Weightage |
1 |
Solid State |
10 |
2 |
Solutions |
|
3 |
Haloalkanes and Haloarenes |
15 |
4 |
Alcohols, Phenols, and Ethers |
|
5 |
Biomolecules |
|
6 |
p -Block Elements |
10 |
7 |
d 19 -and f -Block Elements |
9 |
8 |
Coordination Compounds |
|
9 |
Electrochemistry |
13 |
10 |
Chemical Kinetics |
|
11 |
Surface Chemistry |
|
12 |
Aldehydes, Ketones, and Carboxylic Acids |
13 |
13 |
Amines |
|
Grand Total |
70 |
Refer to the MBSE board class 12 Maths blueprint 2024 as given below, to prepare better for the exam:
Unit No. |
Unit Name |
Marks Weightage |
1 |
Relations and Functions |
10 |
2 |
Algebra |
13 |
3 |
Calculus |
44 |
4 |
Vectors and Three-Dimensional Geometry |
17 |
5 |
Linear Programming |
06 |
6 |
Probability |
10 |
Total Marks |
100 |
Students can refer to the MBSE board class 12 Biology blueprint 2024 as below:
Unit No. |
Unit Name |
Marks Weightage |
1 |
Reproduction in Organisms |
14 |
2 |
Genetics and Evolution |
18 |
3 |
Biology and Human Welfare |
14 |
4 |
Biotechnology and its applications |
10 |
5 |
Ecology and Environment |
14 |
Total Marks |
70 |
Knowing the exam schedule allows students to devise a comprehensive study plan to obtain maximum marks in the Mizoram Board Class 12 Board exam. We have provided the tentative dates for the Mizoram Board 12th board exam 2024 in the table below. The final dates will be updated here once the board announces them.
Event |
Date (Tentative) |
Date Sheet Release Date |
February 2024 |
Theory Exam Start Date |
March 2024 |
Theory Exam End Date |
March 2024 |
Practical Exam Date |
February 2024 |
Admit Card Release |
February 2024 |
Result Date |
May 2024 |
Below are the tentative dates for the Mizoram Board Class 12 exam 2024:
Date (Tentative) |
Time |
Subject Name |
March 2024 |
10:00 am – 1:00 pm |
English |
March 2024 |
10:00 am – 1:00 pm |
M.I.L. (Mizo / Hindi / Nepali) |
March 2024 |
10:00 am – 1:00 pm |
Education / Psychology(T) / Physics(T) / Accountancy |
March 2024 |
10:00 am – 1:00 pm |
History/Biology(T)/Business Mathematics |
March 2024 |
10:00 am – 1:00 pm |
Political Science / Public Administration / Business Studies / Chemistry(T) |
March 2024 |
10:00 am – 1:00 pm |
Computer Science (T) / Home Science (T) |
March 2024 |
10:00 am – 1:00 pm |
Mathematics / Geography(T) |
March 2024 |
10:00 am – 1:00 pm |
Sociology/Geology(T) |
March 2024 |
10:00 am – 1:00 pm |
Economics |
Some basic study plan ideas to maximise score are to create a timetable and follow it. Students should take the help of Embibe app to learn, practice and test concepts of all chapters. This app generates interest even in boring topics. Students can develop conceptual clarity in those topics. Refer to the below sections for preparation tips, study plan and exam-taking strategy.
Students can pass the Class XII Board exam with an excellent score if they study sincerely. Students should do regular revisions and also do plenty of practice to remember the vast syllabus of Mizoram Board Class 12. So, students are advised to start their preparation ahead of time.
Here are some tips for good grades in the Class 12 Mizoram Board exam:
The day of the exam has come. Students have given their best in studying, and it is time to put their knowledge to the test. But there are some points that students should take care of on exam days to ensure that each exam day passes smoothly. Check the list below to learn the Mizoram Board Class 12 exam-taking strategy.
A detailed study plan enhances students’ exam preparation, and they can learn the chapters more effectively. Since students know when and how they need to study, they can pay more attention to the task at hand. We have provided the subject-wise Mizoram Board Class 12 detailed study plan for students’ ready reference.
Preparation Tips for Mathematics
Preparation Tips for Chemistry
Preparation Tips for Physics
Preparation Tips for Biology
The Mizoram Board Class 12 results were announced on May 19, 2023, while the results for MBSE supplementary exam were declared on June 26, 2023. Students can check them on the official website.
The steps to download the results are as follows:
After the result is declared, the Mizoram Board of Secondary Education will release the topper’s list for the 2024 exam:
Here are the first-rank holders of the Class 12 board exam in 2020-21.
Stream |
Name of the Candidate |
Marks Scored |
Science |
Lalremsiama Darchhun Vanlalpeka |
470/500 |
Commerce |
Lalhriatpuia Ralte |
455/500 |
Arts |
Christina Lalchhandami Lalrawn |
454/500 |
The Mizoram Board Class 12 supplementary exams were conducted in March 2023 and the results have been declared on June 26, 2023. Students who fail in one or more subjects in the regular board exam can appear for the supplementary exam. We will update the exact dates of the MBSE HSSLC supplementary exam after the official release.
Q.1: Where can I get the syllabus for Mizoram Board Class 12 exam?
Ans: You can get the Mizoram Board Class 12 exam syllabus from their official website. You can also find the detailed syllabus along with study materials for Mizoram Board Class 12 exam on Embibe for.
Q.2: What is the passing mark for Mizoram board Class 12 exam?
Ans: The passing mark for the Mizoram board Class 12 exam is 33% of the aggregate marks.
Q.3: Where can I find mock tests and sample questions for the Mizoram Board Class 12 exams?
Ans: Students can access practice questions and mock tests on Embibe. They can also customise the practice and mock tests as per their preference.
Q.4: What are the benefits of studying from Embibe for the Mizoram Board Class 12 exam?
Ans: Embibe provides study resources for all board Class 12 exams. Students can access mock tests, 30+ 3D video lessons, 1000+ sample questions, practice and previous years’ papers. Studying for class 12 exam from Embibe allows students to understand each concept in detail.
Q.5: Which are the best books for Mizoram board Class 12?
Ans: The best books for MBSE Class 12 exams are the board textbooks and the Embibe reference book. Books on Embibe are in the form of 3D videos, which make learning interesting, and students can retain the information for an extended period.
The table below details the top colleges in the eight districts of Mizoram, namely Aizawl, Lunglei, Kolasib, Mamit, Serchhip, Champhai, Lawngtlai, and Saiha.
District |
Link |
Aizawl |
|
Lunglei |
|
Kolasib |
|
Mamit |
|
Serchhip |
|
Champhai |
|
Lawngtlai |
|
Saiha |
Class 12 exams are the qualifying criteria for most of the entrance exams conducted for admission to professional courses and other undergraduate programs. Below is the list of future exams for which a student can appear while in Class 12 or after completing it.
Stream |
Exam |
Engineering |
|
Medical |
|
Defence Services |