by Tiwari Academy
Comprehensive Class 12 Maths NCERT Textbook Solutions: Chapter-wise PDFs in Hindi and English Medium updated for Session 2024-25. NCERT Exercises Solutions for Class 12 Maths are a crucial resource for students preparing for CBSE and other board exams. 12th Math textbook solutions provide clear explanations for every question in the NCERT Mathematics Book Solutions Class 12, ensuring students can tackle even the most challenging problems with ease. From Class 12 Maths Chapter 1 Solutions to advanced topics like Integration Solutions and Probability, each chapter is covered in a structured, step-by-step manner. The availability of NCERT Class 12 Maths PDF Solution Downloads allows students to study offline, while Class 12 NCERT Maths Guide resources help them grasp key concepts. With additional Class 12 Maths Practice Papers, students can solidify their understanding and excel in the CBSE Class 12 Maths Board Exam Preparation.
Chapter-wise Class 12 Maths NCERT Solutions in Hindi and English Medium
Chapter 1: Relations and Functions
Chapter 2: Inverse Trigonometric Functions
Chapter 3: Matrices
Chapter 4: Determinants
Chapter 5: Continuity and Differentiability
Chapter 6: Application of Derivatives
Chapter 7: Integrals
Chapter 8: Application of Integrals
Chapter 9: Differential Equations
Chapter 10: Vector Algebra
Chapter 11: Three Dimensional Geometry
Chapter 12: Linear Programming
Chapter 13: Probability
Class 12 Math NCERT PDF Solutions are indispensable tools for students aiming to excel in their board exams. With resources like Class 12 NCERT Maths Chapter-wise Solutions, students can easily navigate through challenging topics such as Trigonometry Solutions, Integration Solutions and Limits and Continuity. These solutions, often available as Class 12 NCERT Mathematics Solutions PDFs, allow for offline access and are aligned with the CBSE Class 12 Math Syllabus. Additionally, Class 12 Math Previous Year Questions and Sample Papers with Solutions provide a solid foundation for exam preparation. Key topics like Matrix Solutions, Determinants and Vector Algebra Solutions are explained in detail, ensuring students develop a deep understanding of each concept.
Study Plan for Class 12 Board Exam 2025
CBSE Syllabus Class 12 Maths for 2024-25
Preparation of Class 12 Mathematics through NCERT Textbook Solutions, during the Exams
A well-structured study plan helps Class 12 students effectively cover NCERT Mathematics, balancing concepts, practice and revision. It ensures consistent learning, problem-solving and timely completion of chapters, building confidence for exams. By integrating NCERT Textbook Solutions, students gain clarity on concepts and master problem-solving techniques for better academic performance.
Success in class 12 mathematics isn’t about speed; it’s about persistence, understanding and never giving up.
| Time | Activity |
|---|---|
| 6:00 AM – 6:30 AM | Morning Exercise |
| 6:30 AM – 7:30 AM | Revision of Previous Topics |
| 7:30 AM – 8:30 AM | Practice Problems (Vectors/Calculus) |
| 8:30 AM – 9:00 AM | Breakfast & Relaxation |
| 10:00 AM – 12:00 PM | Focus on Core Concepts (3D, LPP, Probability) |
| 12:00 PM – 12:30 PM | Short Break |
| 12:30 PM – 1:30 PM | Problem-Solving (Past Year Papers) |
| 2:00 PM – 3:00 PM | Lunch & Relaxation |
| 3:00 PM – 4:30 PM | Advanced Practice (Integration/Differentiation) |
| 4:30 PM – 5:00 PM | Evening Break |
| 5:00 PM – 6:00 PM | Doubt Clearance & Revision |
| 6:00 PM – 7:00 PM | Mock Test |
| 7:30 PM – 8:00 PM | Dinner & Relaxation |
| 8:00 PM – 9:00 PM | Revision of the Day’s Work |
| 9:00 PM – 10:00 PM | Light Reading or Relaxation |
For those looking to deepen their understanding, the NCERT Class 12 Mathematics Chapter-wise Solutions provide targeted practice tailored to each topic. Key areas like Derivatives Solutions, Linear Programming Solutions and Continuity and Differentiability are explained with clarity, helping students master essential concepts. These solutions also align perfectly with the CBSE Class 12 Maths Syllabus, ensuring students focus on the most relevant topics for their exams. Resources like Class 12 Maths Important Questions and Class 12 NCERT Math Formulae enhance preparation, while comparison guides like NCERT Maths RD Sharma Comparison offer additional insights. Students can also access Class 12 NCERT Maths Solution Videos and NCERT Class 12 Maths Online Solutions for interactive learning, making their preparation comprehensive and effective. Step-by-Step Class 12 Maths NCERT Solutions for Every Chapter is prepared to meet the educational (NCERT) curriculum, empowering class 12 students to confidently tackle and understand the intricacies of NCERT textbook and other Maths challenge.
Chapter Wise Weightage of Class 12 Maths for 2024-25 Board Exams
| Chapters | Marks |
|---|---|
| 1. Relations and Functions, 2. Inverse Trigonometric Functions | 08 |
| 3. Matrices, 4. Determinants | 10 |
| 5. Continuity and Differentiability, 6. Application of Derivatives, 7. Integrals, 8. Application of Integrals, 9. Differential Equations | 35 |
| 10. Vector Algebra, 11. Three Dimensional Geometry | 14 |
| 12. Linear Programming | 05 |
| 13. Probability | 08 |
| Periodic Tests ( Best 2 out of 3 tests conducted) | 10 |
| Mathematics Activities | 10 |
| Total | 100 |
Simplify Class 12 Maths with Expertly Solved NCERT Solutions in India are valuable for students and teachers. Unlock Success with Class 12 Maths NCERT Solved Exercises and Study Materials are crucial as students prepare for important exams like the CBSE and various state board exams. Please provide your valuable Review and Feedback for further improvement. Class 12 Maths Explanations provide comprehensive and well-structured solutions to the problems and exercises in the NCERT textbook of mathematics for class 12. This helps students prepare effectively for their CBSE board exams, as these exams follow the NCERT curriculum 2024-25.
Class 12 Solutions Apps for iOS and Android
Chapter-Wise NCERT Solutions for Class 12 Maths: A Complete Guide, delve deep into mathematical techniques and principles. These comprehensive solutions guide help in building a solid Maths foundation, ensuring students excel in board exams, competitive tests, and further academic pursuits.
It also includes examples that will help students better understand the concepts. The Tiwari Academy provides Class 12 Maths NCERT Solutions: Your Ultimate Study Resource which can be of great help to students.
Master Every Chapter with Class 12 Maths NCERT Solutions PDFs offer a variety of solved exercises and problems, perfect for practice and board exam revision. Question answers and NCERT Exercises solutions help students build problem-solving skills and confidence, especially in challenging topics like Calculus, including Differentiation and Integration. Regular practice with these solutions strengthens understanding and boosts exam readiness.
The Essence of Mathematics
Mathematics is a vast field that encompasses the study of numbers, formulas, structures, shapes, spaces, and the changes in quantities. It is divided into major subdisciplines like number theory, algebra, geometry, and analysis. Interestingly, there’s no universally accepted definition of mathematics among mathematicians, highlighting its diverse and evolving nature. When you encounter problems in the All You Need to Know About Class 12 Maths NCERT Solutions refer to the NCERT Solutions provided by Tiwari Academy. Follow these steps:
1. Read the solution carefully to understand how the formulae have been applied.
2. Attempt to solve the problem on your own first.
3. Compare your solution with the solution provided by Tiwari Academy.
4. Analyze any differences and learn from them. Carry on the process to master the subject.
NCERTNational Council of Educational Research and Training | Official Website: https://ncert.nic.in/ Easy-to-Follow Solutions for Class 12 Maths are indeed valuable resources for students preparing for their Class 12 Mathematics exams. Here’s why these solutions can be helpful for CBSE exams. Chapter-Wise Class 12 Maths NCERT PDFs for Hassle-Free Learning is designed to align with the curriculum prescribed by educational boards in India. This means they cover the topics and concepts that are essential for the Class 12 Mathematics exam.
Preparing for Class 12 Maths board exam becomes more effective with a structured approach, especially when incorporating Class 12 Maths NCERT Solutions: The Perfect Board Exam Companion. Initially, it’s vital to build a solid foundation in basic concepts. Make sure you have a clear understanding of the principles from previous grades, as Class 12 Maths is often an extension of those basic principles. Regular review and practice of these earlier concepts can greatly enhance your comprehension. Then, acquaint yourself with the Class 12 Maths NCERT Solutions to Help You Ace Your Exams with current syllabus. Identify the topics to be covered, focusing first on those that extend from your existing knowledge. This method eases the transition into more advanced topics. Use NCERT textbooks and other educational materials at Tiwari Academy, to gain a thorough understanding of each subject area. Moreover, solving a variety of problems is crucial for a better grasp of the subject and for preparation of board examination questions.
| Class: 12 | Mathematics (NCERT Textbook) |
| Number of Chapters: | 13 (Thirteen) |
| Content: | Solve Complex Problems Easily with Class 12 Maths NCERT Guides |
| Content Type: | Images, Text, PDF and Video Format |
| Mode of Study: | Online and Offline Format |
| Academic Year: | Current Session 2024-25 |
| Medium: | Hindi Medium, English Medium |
Many competitive exams in Bharat, such as engineering and medical entrance exams (e.g., JEE Main, NEET), require a strong foundation in mathematics. Class 12 mathematics NCERT solutions can be valuable for students preparing for these exams, as they cover essential topics and concepts commonly tested in such competitive exams.
Get Exam-Ready with Detailed Class 12 Maths NCERT Answers at Tiwari Academy are known for their clarity and accuracy. They provide step-by-step explanations for solving problems, making it easier for students to understand and follow the solutions. These solutions provide a wide range of practice problems and exercises. Practice is crucial for math exams, as it helps students become more comfortable with the concepts and improves problem-solving skills.
Teachers often use the Complete Guide to Class 12 Maths NCERT Problem Solving as teaching aids to explain concepts and solve problems in the classroom. These solutions provide structured explanations and solutions that assist teachers in explaining the mathematical concepts effectively. NCERTNational Council of Educational Research and Training | Official Website: https://ncert.nic.in/ textbooks and solutions are widely recognized and accepted across India. They ensure a standardized curriculum and help maintain consistency in mathematics education across different states and regions. Solutions provided by Tiwari Academy are a valuable resource for teachers and students alike.
Key Points of 12th Maths Solutions
Accurate and Reliable NCERT Solutions for Class 12 Maths Students, cover advanced mathematical concepts and topics suitable for students in their final year of secondary education. Here are some key points to consider about why NCERT Solutions for Class 12 Maths Are Essential for CBSE Exams:
1. The 12th Maths solutions cover a wide range of topics such as calculus, linear algebra, differential equations, Inverse Trigonometry, probability, and vectors. These concepts are important for building a strong foundation in mathematics and preparing for higher studies.
2. The solutions provide step-by-step explanations for various problems, helping students understand the logic and reasoning behind each step. This approach promotes better comprehension and problem-solving skills.
3. The Maths solutions in grade 12th include a variety of problems, ranging from basic to complex. This allows students to gradually build their skills and tackle more challenging problems. These often provide real-world applications of mathematical concepts, helping students see the relevance of what they are learning.
4. Class 12 Maths involves more abstract and analytical thinking. The solutions emphasize mathematical reasoning and logic, helping students develop a deeper understanding of the subject. These are designed to meet with the CBSE board exam pattern and guidelines. Practicing with these solutions can help students prepare effectively for their exams.
5. Instead of just memorizing formulas, the solutions encourage students to understand the underlying concepts. This approach is crucial for mastering mathematics. Class 12 Maths often involves graphical representations of functions and equations mainly in chapter 8 and 12. The solutions help students interpret and draw various types of graphs accurately.
6. The solutions of 12th Mathematics include a wide range of practice questions at the end of each chapter, allowing students to reinforce their learning and improve their problem-solving skills. These can be used as a valuable resource by teachers to explain the mathematical terms and principles and help them explain concepts effectively to their students. The official NCERT website and various educational platforms like Tiwari Academy offers Class 12 Maths NCERT solutions online, making them easily accessible for students.
Remember that Class 12 Maths can be challenging, but with consistent practice and a strong grasp of the concepts, you can excel in the subject. It’s a good idea to use the Quick Access to Class 12 Maths NCERT Chapter-Wise Solutions in conjunction with additional study materials like past year papers. It is suggested that students seek guidance from teachers or tutors if needed.
Class 12 Maths NCERT Solutions: Simplify Your Board Exam Preparation and focus on developing a deep understanding of the underlying mathematical concepts. This is essential for scoring well in exams, as questions may be designed to test your understanding rather than testing your memorizing ability. Since NCERT textbooks and Free Class 12 Maths NCERT PDFs for Clear and Concise Learning are created to cater to the syllabus of the respective boards, they are highly relevant to the exams. Questions in the exams are often drawn from NCERT textbooks and similar resources.
Expert-Solved Class 12 Maths NCERT Solutions for Every Problem are valuable for all students and educators in India. They aid in exam preparation and build conceptual clarity.
Class 12 Solutions App Download
Download Free PDFs of NCERT Solutions for Class 12 Maths prepared by expert mathematicians and can help students understand the concepts better and score good marks in the exams. NCERT Solutions for Class 12 Maths in English and Hindi Medium have been updated for CBSE session. It provides a detailed explanation to promote a better conceptual understanding in students for all the topics included in CBSE Class 12 Maths Syllabus.
| Class 12 All Subjects iOS App for iPad & iPhone |
Users can easily update iOS and Android apps to access error-free solutions. This ensures that students always have access to the most accurate and up-to-date information. Using Tiwari Academy apps to Crack Class 12 Maths with Confidence Using NCERT Solutions reduces the need for physical textbooks, contributing to a more Eco-friendly learning environment.
Chapter-Wise Class 12 Maths NCERT Solutions with In-Depth Analysis include solutions to previous years CBSE board question, which can be extremely helpful for practice and understanding the exam pattern. In addition to the basic solutions, there are often additional exercises and problems provided in the NCERT textbooks and Class 12 Maths NCERT Solutions: A Student’s Step-by-Step Companion. These can be used to challenge yourself and further strengthen your skills.
Learn Class 12 Maths Concepts Faster with NCERT Solutions, designed by our Expert Maths teachers to facilitate smooth and clear understanding of concepts and logic. These solution covers all the formulae and theorems with step by step method so that student can easily understand. You can get all chapter wise all exercise solutions for the Class 12 Maths NCERT Books.
However, it’s important to note that while the Ultimate Guide to Class 12 Maths NCERT Solved Questions are a valuable resource, they may not cover every possible type of question or provide extensive practice for highly competitive exams. Depending on your goals and the level of your preparation, you may also want to explore other textbooks, reference books, online resources and practice past years papers.
Class 12 Maths NCERT Solutions, Trusted Resource for CBSE Students, are an excellent starting point for your exam preparation, but it is advisable to supplement your study with a variety of resources to ensure comprehensive preparation for your Class 12 Mathematics exam.
You can download NCERT Class 12 Maths Solutions App for all exercises by just clicking these links here. Using Class 12 Maths NCERT Solutions for Better Exam Scores play a vital role in supporting students’ learning and understanding of complex mathematical concepts. It covers advanced topics like calculus, verctor-3D, and probability, which can be challenging to grasp. At Tiwari Academy, the NCERT Solutions for Class 12 Mathematics: Perfect for Exam Prep, provide clear explanations, breaking down complex concepts in a way that can be more absorbing. They also help students in understanding the underlying principles.
Board exams are a significant milestone. NCERT Solutions for Class 12 Mathematics: Chapter-Wise PDFs for Free, align with the CBSE curriculum 2024-25, providing practice questions similar to those that might appear in the exams. This helps students prepare effectively and boosts their performance.
In the next phase, concentrate on problem-solving and practical application, utilizing Complete NCERT Solutions for Class 12 Mathematics with Expert Guidance. Engage in consistent practice with different problem types, including exercises from textbooks, previous exam papers, and additional questions from various math workbooks or online platforms. If you face challenges, seek assistance from teachers, tutors, or educational resources like videos and online forums. It is also important to understand the theories underlying mathematical concepts, as this can make problem-solving more intuitive. Furthermore, managing your time and stress effectively is crucial.
Develop a study plan that includes regular mathematics practice, using Step-by-Step NCERT Solutions for Class 12 Mathematics Problems, while also balancing time for other subjects and activities. Remember, consistent study is more beneficial than last-minute cramming for exams.
Class 12 Maths Syllabus Revised for 2024-25
Ace Your Exams with NCERT Solutions for Class 12 Mathematics
Your Ultimate Guide to NCERT Solutions for Class 12 Mathematics includes advanced topics like calculus, matrices and determinants, differential equations, probability, and vectors. The solutions help students understand these concepts clearly and guide them through solving different types of problems.
It’s important to note that Chapter-Wise NCERT Solutions for Class 12 Mathematics Explained not only meant for providing answers but also for enhancing understanding and building problem-solving skills. They serve as a valuable resource for students, helping them master the concepts and excel in their studies.
NCERT Solutions for Class 12 Maths Chapter 1 – Relations and Functions
Class 12 Maths, Relations and Functions is the first chapter of the Class 12 Maths NCERT Book. There are 3 exercises in this NCERT Solutions for class 12 Maths Chapter 1.
Class 12 Maths Exercise 1.1
Class 12 Maths Exercise 1.2
Class 12 Maths Miscellaneous 1
Class 12 Maths Exercise 1.1 in Hindi
Class 12 Maths Exercise 1.2 in Hindi
Class 12 Maths Miscellaneous 1 in Hindi
Chapter 1 Relations and Functions in NCERT Class 12 Maths, covers topics like types of relations, functions, composition, domains, co-domains, composite functions, and invertible functions. Tiwari Academy’s NCERT textbook explanation, crafted by expert Mathematics teachers, provide in-depth explanations in both Hindi and English.
NCERT Solutions for Class 12 Maths Chapter 2- Inverse Trigonometric Functions
NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions covers various topics such as concepts of inverse trigonometric functions, inverse trigonometric functions properties, and miscellaneous examples.
Class 12 Maths Exercise 2.1
Class 12 Maths Exercise 2.2
Class 12 Maths Miscellaneous 2
Class 12 Maths Exercise 2.1 in Hindi
Class 12 Maths Exercise 2.2 in Hindi
Class 12 Maths Miscellaneous 2 in Hindi
Chapter 2 of NCERT Class 12 Maths includes two exercises that explain the range of trigonometric functions and their behavior in graphs. Study materials for mathematics and well-structured NCERT textbook solutions, prepared by experienced teachers, make learning easy and clear.
NCERT Solutions for Class 12 Maths Chapter 3 – Matrices
NCERT Solutions for Class 12 Maths Chapter 3 Matrices you can understand the definition of Matrices, various types of matrices, equality of matrices, operations on matrices such as the addition of matrices and multiplication of matrices by a scalar.
Class 12 Maths Exercise 3.1
Class 12 Maths Exercise 3.2
Class 12 Maths Exercise 3.3
Class 12 Maths Exercise 3.4
Class 12 Maths Miscellaneous 3
Class 12 Maths Exercise 3.1 in Hindi
Class 12 Maths Exercise 3.2 in Hindi
Class 12 Maths Exercise 3.3 in Hindi
Class 12 Maths Exercise 3.4 in Hindi
Class 12 Maths Miscellaneous 3 in Hindi
In this NCERT Mathematics section, you’ll learn about matrix addition, scalar multiplication, matrix multiplication, and properties of each. Topics also include transpose of matrices, symmetric and skew-symmetric matrices, elementary transformations and finding inverses using elementary operations, along with miscellaneous examples. Class 12 Maths textbook solutions for Matrices are available in Hindi and English, in both text and video formats.
NCERT Solutions for Class 12 Maths Chapter 4 – Determinants
NCERT Solutions for Class 12 Maths Chapter 4 Determinants covers all topic of determinants. You can learn and study here about the definition and meaning of determinants.
Class 12 Maths Exercise 4.1
Class 12 Maths Exercise 4.2
Class 12 Maths Exercise 4.3
Class 12 Maths Exercise 4.4
Class 12 Maths Exercise 4.5
Class 12 Maths Miscellaneous 4
Class 12 Maths Exercise 4.1 in Hindi
Class 12 Maths Exercise 4.2 in Hindi
Class 12 Maths Exercise 4.3 in Hindi
Class 12 Maths Exercise 4.4 in Hindi
Class 12 Maths Exercise 4.5 in Hindi
Class 12 Maths Miscellaneous 4 in Hindi
NCERT Class 12 Maths chapter 4 includes six exercises covering topics like the order and properties of determinants, calculating the area of a triangle with determinants, finding minors, adjoints and co-factors, and solving systems of linear equations (in two and three variables) using matrix inverses.
Class 12 Maths Chapter 5 – Continuity and Differentiability
Class 12 Maths Chapter 5 Continuity and Differentiability textbook has eight exercises which are based on 12th Class Maths Book Solution, in the 1st exercise you just learn about the definition of continuity.
Class 12 Maths Exercise 5.1
Class 12 Maths Exercise 5.2
Class 12 Maths Exercise 5.3
Class 12 Maths Exercise 5.4
Class 12 Maths Exercise 5.5
Class 12 Maths Exercise 5.6
Class 12 Maths Exercise 5.7
Class 12 Maths Miscellaneous 5
Class 12 Maths Exercise 5.1 in Hindi
Class 12 Maths Exercise 5.2 in Hindi
Class 12 Maths Exercise 5.3 in Hindi
Class 12 Maths Exercise 5.4 in Hindi
Class 12 Maths Exercise 5.5 in Hindi
Class 12 Maths Exercise 5.6 in Hindi
Class 12 Maths Exercise 5.7 in Hindi
Class 12 Maths Miscellaneous 5 in Hindi
Next, you’ll study continuity, the algebra of continuous functions, differentiability, derivatives of implicit and composite functions, and derivatives of inverse trigonometric functions. Topics also include logarithmic differentiation, exponential and logarithmic functions, parametric derivatives, second-order derivatives and the mean value theorem, with various examples for board exam practice.
NCERT Solutions for Class 12 Maths Chapter 6 – Applications of Derivatives
NCERT Solutions for Class 12 Maths Chapter 6 Applications of Derivatives has five exercises which cover the definition of derivatives, tangents and normal, and rate of change of quantities, increasing and decreasing functions.
Class 12 Maths Exercise 6.1
Class 12 Maths Exercise 6.2
Class 12 Maths Exercise 6.3
Class 12 Maths Miscellaneous 6
Class 12 Maths Exercise 6.1 in Hindi
Class 12 Maths Exercise 6.2 in Hindi
Class 12 Maths Exercise 6.3 in Hindi
Class 12 Maths Miscellaneous 6 in Hindi
NCERT 12 Mathematics Chapter 6 covers the applications of derivatives, including approximation, finding maxima and minima, the first derivative test, functions in a closed interval, and miscellaneous examples. The NCERT textbook solution for Class 12 Maths provide detailed explanations, available in both Hindi and English, to suit student needs.
NCERT Solutions for Class 12 Maths Chapter 7 – Integrals
Class 12 Maths Chapter 7 Integration has twelve exercises which cover the definition of integration, definite and indefinite integrations and limit of sums based questions.
Class 12 Maths Exercise 7.1
Class 12 Maths Exercise 7.2
Class 12 Maths Exercise 7.3
Class 12 Maths Exercise 7.4
Class 12 Maths Exercise 7.5
Class 12 Maths Exercise 7.6
Class 12 Maths Exercise 7.7
Class 12 Maths Exercise 7.8
Class 12 Maths Exercise 7.9
Class 12 Maths Exercise 7.10
Class 12 Maths Miscellaneous 7
Class 12 Maths Chapter 7 in Hindi Medium
Class 12 Maths Exercise 7.1 in Hindi
Class 12 Maths Exercise 7.2 in Hindi
Class 12 Maths Exercise 7.3 in Hindi
Class 12 Maths Exercise 7.4 in Hindi
Class 12 Maths Exercise 7.5 in Hindi
Class 12 Maths Exercise 7.6 in Hindi
Class 12 Maths Exercise 7.7 in Hindi
Class 12 Maths Exercise 7.8 in Hindi
Class 12 Maths Exercise 7.9 in Hindi
Class 12 Maths Exercise 7.10 in Hindi
Class 12 Maths Miscellaneous 7 in Hindi
NCERT Solutions for Class 12 Maths Chapter 8 – Applications of Integrals
In NCERT Solutions for Class 12 Maths Chapter 8 Applications of Integrals, students can get an overall knowledge about the area bounded and specific application of integrals.
Class 12 Maths Exercise 8.1
Class 12 Maths Miscellaneous 8
Class 12 Maths Exercise 8.1 in Hindi
Class 12 Maths Miscellaneous 8 in Hindi
It covers the definition of Integrals, especially lines, circles/ parabolas/ellipses, area under simple curves, area between two curves and at last miscellaneous examples. There are two exercises in NCERT Solutions for Class 12 Maths Chapter 8. We have prepared the solutions based on 12th Class Maths NCERT Book part 2. The solutions to area bounded Class 12 Maths are available in Hindi and English medium.
NCERT Solutions for Class 12 Maths Chapter 9 – Differential Equations
Students can understand the definition of Differential Equations in the NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations.
Class 12 Maths Exercise 9.1
Class 12 Maths Exercise 9.2
Class 12 Maths Exercise 9.3
Class 12 Maths Exercise 9.4
Class 12 Maths Exercise 9.5
Class 12 Maths Miscellaneous 9
Class 12 Maths Exercise 9.1 in Hindi
Class 12 Maths Exercise 9.2 in Hindi
Class 12 Maths Exercise 9.3 in Hindi
Class 12 Maths Exercise 9.4 in Hindi
Class 12 Maths Exercise 9.5 in Hindi
Class 12 Maths Miscellaneous 9 in Hindi
It clears basic concepts related to differential equations and many more with step by step solutions so that students can easily understand. It covers all the solutions based on 12th Class Maths Book Solution including the degree of a differential equation, order of a differential equation, general and particular solutions of a differential equation, homogeneous differential equations, linear differential equations, procedure involved formation of a differential equation etc. Students can take help for Differential Equations of 12th standard in Hindi and English medium.
NCERT Solutions for Class 12 Maths Chapter 10 – Vector Algebra
NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra, can help the students to understand about the introduction of vector algebra, position vector and some basic concepts related to vector algebra.
Class 12 Maths Exercise 10.1
Class 12 Maths Exercise 10.2
Class 12 Maths Exercise 10.3
Class 12 Maths Exercise 10.4
Class 12 Maths Miscellaneous 10
Class 12 Maths Exercise 10.1 in Hindi
Class 12 Maths Exercise 10.2 in Hindi
Class 12 Maths Exercise 10.3 in Hindi
Class 12 Maths Exercise 10.4 in Hindi
Class 12 Maths Miscellaneous 10 in Hindi
In Class 12 Maths Chapter 10, you’ll explore algebraic and geometric properties, vector multiplication by a scalar, vector joining two points, vector components, section formula and vector products. This chapter includes four exercises plus a miscellaneous section. Find complete, step-by-step solutions based on the Class 12 Maths book, available in both Hindi and English.
NCERT Solutions for Class 12 Maths Chapter 11 – Three Dimensional Geometry
NCERT Solutions for Class 12 Maths Chapter 11 Three Dimensional Geometry, you can get know about Three Dimensional Geometry. The student can master topics on three dimensional geometry, direction cosines and direction ratios.
Class 12 Maths Exercise 11.1
Class 12 Maths Exercise 11.2
Class 12 Maths Miscellaneous 11
Class 12 Maths Exercise 11.1 in Hindi
Class 12 Maths Exercise 11.2 in Hindi
Class 12 Maths Miscellaneous 11 in Hindi
Learn the properties of line, equation of a line through a given point and parallel direction cosines of a line passing through two points, relation between the direction cosines of a line, equation of a line in space, plane passing through the intersection of two given planes, angle between two planes, co-planarity of two lines and many more. There are three exercises and a miscellaneous exercise in chapter 11 of 12th Mathematics NCERT.
NCERT Solutions for Class 12 Maths Chapter 12 – Linear Programming
You are introduced to NCERT Solutions for Class 12 Maths Chapter 12 Linear Programming. Here this chapter covers linear programming problem and its mathematical formulation.
Class 12 Maths Exercise 12.1 in Hindi
You will learn about the mathematical formulation of the problem, different types of all linear programming problems graphical feasible and infeasible method solution. NCERT Solutions for Class 12 Maths Chapter 12 covers two exercises in all. Solutions to the Linear Programming Problems of 12th Mathematics are available in Hindi and English medium both.
NCERT Solutions for Class 12 Maths Chapter 13 – Probability
In this last chapter of NCERT Solutions for Class 12 Maths Chapter 13 Probability, you will learn what is probability and Multiplication rule of the same.
Class 12 Maths Exercise 13.1
Class 12 Maths Exercise 13.2
Class 12 Maths Exercise 13.3
Class 12 Maths Miscellaneous 13
Class 12 Maths Exercise 13.1 in Hindi
Class 12 Maths Exercise 13.2 in Hindi
Class 12 Maths Exercise 13.3 in Hindi
Class 12 Maths Miscellaneous 13 in Hindi
You can understand here the concept of random variables and its probability in this chapter. Other than this chapter also covers mean of random variable, variance of random variable, and binomial distribution and Bernoulli trials with miscellaneous examples. NCERT Solutions for Class 12 Maths Chapter 13 describes about the five topics with well-defined solutions by the expert math teachers.
Importance of Learning NCERT Solutions for Class 12 Maths from Tiwari Academy
Students can get the following benefits if they learn and practice from Tiwari Academy App/website for class 12 Mathematics:
1. Clears your doubt easily through simple explanation.
2. Provides best study material for the preparation of academic and competitive exams.
3. Helps you to build a strong base for higher classes.
There are a total of 13 chapters-solutions for which are given by experienced mathematics teachers reviewed too. By learning properly and practice this Class 12 Mathematics Made Easy with NCERT Solutions, will enable you to score well in class 12th board exams.
Provides Authentic Information to the Students
Download Free NCERT Solutions for Class 12 Mathematics now provided by the experienced Maths teachers after extensive research on each and every chapter to provide correct and authentic information to the students.
Follows the CBSE Curriculum
This is yet another most important reason why you should follow NCERT Solutions given by us. These solutions for every chapter strictly adhere to the CBSE curriculum 2024-25.
Clears all Fundamental Logic & Concepts
These NCERT solutions help the students to make their concepts crystal clear. Once you clear the concept then there is no need to read the whole chapter again and again.
Helpful For Revisions during Examinations
Master Class 12 Mathematics with Comprehensive NCERT Solutions which are designed in such a way that Students can revise quickly during their Examinations.
How are CBSE 12 Maths Solutions of NCERT Helpful for Board Exams?
Class 12 Maths NCERT Solutions: Free Chapter-wise PDF Downloads – help you to secure good marks in the 12th class Board exams since they make your concepts crystal clear.
By practicing and revising NCERT Chapter-wise Solutions for Class 12 Maths – All Chapters Solved given by us, there is probability of scoring above 90 percent marks in the board examination. In the past, students have scored high marks in mathematics class 12th by following and learning from our website and apps.
Complete NCERT Detailed Solutions for Class 12 Maths: A Step-by-Step Guide is a valuable tool for self-study, allowing students to review topics at their own pace and strengthen their understanding. They serve as a reference for checking answers in homework and practice exercises, helping students spot and correct mistakes. Class 12 Maths NCERT Simple Solutions for CBSE Board Exam Preparation, emphasize understanding the logic behind mathematical techniques, not just memorizing formulas, which improves comprehension and critical thinking skills.
How to get class 12 Maths NCERT Solutions?
Get the revised and modified Expert-Solved NCERT Solutions for Class 12 Maths Problems to prepare for board exams. As you know the syllabus is reduced for academic year 2024-25. So, follow the instruction to get appropriate NCERT textbook solution for final exams. If you still have doubts or questions, don’t hesitate to ask your teacher or a peer for clarification. Clearing up any confusion is essential to build a strong foundation in mathematics. Follow the steps given here to get Chapter-Wise NCERT Solutions for Class 12 Maths with Explanations in Hindi and English Medium.
- Step 1: Search the website for class 12 Maths NCERT Solutions.
- Step 2: Visit to Class 12 Maths solutions based Educational Websites like Tiwari Academy.
- Step 3: Use Class 12 Maths Solutions App to get Hindi and English medium content.
- Step 4: Prepare Class 12 Maths for board exams using NCERT Solutions.
- Step 5: Crosscheck the answers and Solution using NCERT Solutions of Class 12 Maths.
Step 1: Search the website for class 12 Maths NCERT Solutions.
Step 2: Visit to Class 12 Maths solutions based Educational Websites like Tiwari Academy.
Step 3: Use Class 12 Maths Solutions App to get Hindi and English medium content.
Step 4: Prepare Class 12 Maths for board exams using NCERT Solutions.
Step 5: Crosscheck the answers and Solution using NCERT Solutions of Class 12 Maths.
Your Ultimate Guide to NCERT Textbook Solutions for Class 12 Maths textbook part 1 and part 2 are available in various formats, including books, online platforms and mobile apps. This accessibility ensures that students can choose the format that suits their learning preferences. Free Class 12 Maths NCERT Exercises Solutions: Simplified for Students – provide clarity, guidance, and practice for students facing intricate mathematical challenges.
For students seeking targeted assistance, NCERT Class 12 Math Important Questions with Solutions focus on high-weightage topics like Probability Chapter Solutions, Linear Programming and Differential Equations. A handy Class 12 NCERT Maths Formula Sheet further simplifies problem-solving by consolidating essential formulas in one place. Interactive tools such as Class 12 Math Online Solutions and Class 12 Mathematics NCERT Solution Videos offer dynamic learning experiences, making complex concepts easier to grasp. By utilizing Class 12 Math Study Material, students can strengthen their command over topics like 3D Geometry and tackle both theory and application-based problems effectively. These comprehensive resources empower students to confidently approach their exams and achieve outstanding results.
Is NCERT Enough for Class 12 Maths Board Exams?
Yes, NCERT Class 12 Maths Books are enough to score maximum marks in the Class 12 Board exams. Just practice all the exercise and learn the theorems. Also, do not skip any topic of CBSE 12th Maths syllabus and revise 2-3 times before your class 12 board exam. The NCERT books for Class 12 are prescribed by the CBSE itself. So these NCERT books are known for their clear explanation of each topic and a good level of practice questions. It is the best study material for Class 12 Boards Maths. These NCERT textbooks are enough for you to score well in your CBSE Class 12 Maths board exam.
Which Book is Best for Class 12 Maths Board Exam?
NCERT Book is the best and most trusted book for Class 12 board exam. Students can clear their concepts and logics through NCERT Class 12 Maths book by solving the examples and all exercise problems. Students are advised to solve questions from the NCERT book as this book follows the pattern prescribed by CBSE.
Is Class 12 Maths Difficult?
For students who have understood the concepts of class 11, there no need to worry about the class 12th mathematics. By sufficient practice of questions, students can score good marks in board exams. In case of any doubt, students can refer to solutions provided by Tiwari Academy and understand the concepts behind the solutions.
Which website is best for Class 12 maths NCERT solutions?
You can find many websites online which are providing Maths NCERT solutions for class 12. But tiwariacademy.com provides a solid conceptual base for all the topics included in CBSE Class 12 Maths Syllabus. All solutions cover all the important theorems and formulae with detailed explanations so that student can easily clear the concept.
Tiwari Academy is one of the best websites because of the following reasons:
1. A detailed step-by-step explanations of problems is given for NCERT textbooks questions.
2. Apart from solutions, the best study materials for students who are preparing for their Class 12 board exams is given.
3. From this website, you can get FREE Class 12 Maths NCERT solutions in PDF formats.
