Download a Chapter-wise Free PDF of NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 12 Maths – Chapter-wise Overview
NCERT Solutions for Class 12 Maths provide detailed, step-by-step answers to all textbook problems, helping students strengthen their conceptual understanding and problem-solving skills. Below is a chapter-wise brief introduction to aid in effective learning and exam preparation.
Chapter 1: Relations and Functions
This chapter covers types of relations and functions, including reflexive, symmetric, and transitive relations, and different functions such as one-to-one, onto, and inverse functions. Mastering these concepts is essential for competitive exams like JEE. Do refer to Home tuition for Maths.
Chapter 2: Inverse Trigonometric Functions
Learn about inverse trigonometric functions, their properties, and graphs. These functions play a key role in calculus and real-world applications.
Chapter 3: Matrices
This chapter explains matrix operations, types of matrices, and determinants. Understanding matrices is crucial for solving complex algebraic problems.
Chapter 4: Determinants
Covers properties of determinants, Cramer's Rule, adjoint, and inverse of matrices. Important for solving systems of linear equations. Download NCERT Textbooks for class 12 Maths.
Chapter 5: Continuity and Differentiability
Introduces continuity, differentiability, and derivatives of composite, implicit, and inverse functions—fundamental for Calculus.
Chapter 6: Application of Derivatives
Learn about tangent and normal equations, rate of change, increasing/decreasing functions, and maxima-minima—essential for real-world applications.
Chapter 7: Integrals
A vital chapter covering definite and indefinite integrals, properties, and fundamental theorem of calculus.
Chapter 8: Application of Integrals
Discusses area under curves, line integrals, and applications of integration in various fields.
Chapter 9: Differential Equations
Covers formation, order, degree, and solving methods of differential equations—useful in physics and engineering.
Chapter 10: Vector Algebra
Explain vectors, dot and cross products, and their geometric interpretations—important for 3D geometry.
Chapter 11: Three-Dimensional Geometry
Learn about direction cosines, planes, lines, and angles in 3D space—a crucial topic for advanced mathematics.
Chapter 12: Linear Programming
Covers graphical and algebraic methods to solve linear programming problems, widely used in economics and business analytics.
Chapter 13: Probability
This chapter includes Bayes’ theorem, probability distributions, and binomial distributions, which are essential in statistics and data science.
These NCERT Solutions for Class 12 Maths provide a strong foundation for board exams and competitive exams like JEE, ensuring conceptual clarity and effective problem-solving.
Features of NCERT Solutions for Class 12 Maths by Home-Tution.com
The NCERT Solutions for Class 12 Maths prepared by the Home-Tution.com team are designed to provide accurate, step-by-step solutions to all textbook problems, ensuring conceptual clarity and effective exam preparation. Here are the key features:
1. Chapter-wise & Step-by-Step Solutions
Each chapter is covered in detail with step-by-step explanations for all exercises, ensuring a strong conceptual understanding of Algebra, Calculus, Probability, and Vector Algebra.
2. Based on the Latest CBSE Syllabus
The solutions strictly follow the latest CBSE curriculum, making them highly relevant for board exams and competitive exams like JEE and NDA.
3. Easy-to-Understand Language
Solutions are explained in simple, student-friendly language, helping students grasp difficult mathematical concepts with ease.
4. Error-Free & Expert-Verified Solutions
All answers are 100% accurate and reviewed by experienced Maths educators, ensuring high quality and reliability.
5. Free PDF Download & Online Access
Students can access the solutions anytime, anywhere, through free downloadable PDFs and an interactive online platform.
These solutions by Home-Tution.com help students strengthen their problem-solving skills, improve accuracy, and boost confidence for Class 12 Maths exams.The
Right Way to Use NCERT Solutions for Class 12 Maths Effectively
NCERT Solutions for Class 12 Maths are a valuable resource for board exam preparation and competitive exams like JEE and NDA. However, to maximize their benefits, students must use them strategically. Here’s the right way to use NCERT Solutions for Class 12 Maths effectively:
1. Read the Chapter First
Before jumping to solutions, read the chapter thoroughly from the NCERT textbook. Understand the concepts, formulas, and theorems explained in each topic.
2. Try Solving Problems on Your Own
Attempt the exercises without looking at the solutions. This helps in identifying your weak areas and improving problem-solving skills.
3. Refer to NCERT Solutions for Doubts
Use the NCERT Solutions only after making an effort to solve the question. Compare your approach with the given solution and analyze any mistakes.
4. Understand the Step-by-Step Approach
Pay attention to the detailed step-by-step explanations in the solutions. This helps in learning the correct methods and logical reasoning behind each step.
5. Make Notes of Important Concepts
While using the solutions, note down key formulas, shortcuts, and tricky concepts to revise later. This improves retention and speeds up problem-solving during exams.
6. Practice Regularly
Maths requires consistent practice. Solve different types of questions multiple times using NCERT solutions to gain confidence and improve accuracy.
7. Use for Last-Minute Revision
Before exams, revise important questions from NCERT Solutions to brush up on concepts and boost speed in solving problems.
By following these steps, students can use NCERT Solutions for Class 12 Maths effectively to improve their conceptual clarity, problem-solving speed, and overall performance in exams.
Benefits of NCERT solutions for class 12 Maths
Do you want to excel in Mathematics in class 12? Do you want to get overall good marks in your final board examinations? If your answer is Yes, you need to work hard on your goals, and we are here to help you with the same!
We provide you with the NCERT Book solutions for class 12 Maths. It will help you save your time searching for the answer to any particular question on multiple platforms. We provide the best-detailed solutions to help you thoroughly prepare for your exams.
You can score well in your Class 12th Board examination if you prepare well from the detailed NCERT Solutions provided by our expert team!
CBSE Class 12 Maths Academic Resources 2023-24
| Class 12 MathsNCERT Solutions | Questions | MCQs |
|---|
Frequently Asked Questions
We provide you with the complete NCERT Solution to all the 13 chapters of class 12 NCERT Maths.
- 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
Here at Home-Tuitions.Com, we have provided the complete NCERT Solution for Class 12 Maths in PDF form in both languages. You can download these solutions in your language.
Yes. NCERT Class 12th Maths book is not only sufficient for the Class 12 Board examination but will be helpful in the entrance exams as well. NCERT books are recommended by CBSE and follow its guidelines. All the competitors (for ex. JEE Main and NEET) follow the CBSE pattern.
For NCERT solutions for class 12 maths, you can check out the home tution website which consists of chapter-wise detailed solutions of all the chapters asked in the NCERT textbook. We have uploaded a free pdf of each chapter in easily downloadable format. NCERT solutions for class 12 Maths are prepared and developed by expert teachers having many years of teaching experience and all the solutions are prepared as per the requirements of CBSE.
For students preparing for JEE Main and JEE Advanced, NCERT Solutions for Class 12 Maths are indispensable. JEE aspirants often underestimate the importance of NCERT, but a significant portion of JEE questions are based on NCERT concepts. Since NCERT focuses on fundamental theories, derivations, and standard problem-solving techniques, it provides a solid base for tackling advanced-level questions in JEE.
Many JEE experts and toppers recommend mastering NCERT before referring to additional books like RD Sharma, HC Verma, or Cengage. NCERT solutions provide clear explanations of key topics such as Differentiation, Integration, Matrices, and Probability, which are highly important for JEE.
Additionally, practicing NCERT solutions helps in time management and boosts confidence when solving tricky questions. JEE exams demand accuracy and speed, and NCERT questions help students build both. By revising these solutions multiple times, students can strengthen their problem-solving skills and gain an edge in JEE preparation.
Students can find NCERT Solutions for Class 12 Maths in PDF format on various educational platforms, including Home-Tution.com, NCERT’s official website, and other online learning portals. These solutions are available chapter-wise, making it convenient for students to download and study specific topics as per their needs.
One of the main benefits of having NCERT Solutions in PDF format is offline access. Students can download the solutions once and use them anywhere, anytime without requiring an internet connection. This is especially helpful for last-minute revisions before exams.
Websites like Home-Tution.com provide error-free, expert-verified solutions that strictly follow the CBSE syllabus. These solutions ensure that students learn the most effective problem-solving techniques and improve their accuracy in exams. Additionally, PDFs are structured in an easy-to-navigate format, allowing students to quickly find solutions for each exercise and example.
For students looking for free and high-quality NCERT Solutions for Class 12 Maths, downloading chapter-wise PDFs from reliable sources is the best option.
Scoring full marks in Class 12 Maths is possible with consistent practice and strategic use of NCERT Solutions. Since CBSE follows NCERT textbooks strictly, solving every exercise, example, and miscellaneous question from NCERT is a must. Here’s how to use NCERT Solutions effectively to achieve full marks:
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Understand the Concepts First: Before jumping to exercises, read and understand the chapter thoroughly. Concepts like integration, differentiation, and probability need a strong theoretical understanding before attempting problems.
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Solve Problems Without Looking at Solutions: Try solving questions independently first, then refer to NCERT Solutions to cross-check your approach.
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Practice Miscellaneous & Exemplar Problems: CBSE often includes tricky problems from the miscellaneous section in board exams. Solving these builds confidence.
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Revise Formulas & Theorems Daily: Keep a separate notebook for formulas, theorems, and important derivations. Revise them regularly.
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Solve Previous Year Papers & Mock Tests: Practicing CBSE sample papers along with NCERT solutions helps in time management and improves accuracy.
By following these steps, students can score full marks in Class 12 Maths with the help of NCERT Solutions.
Yes, NCERT Solutions for Class 12 Maths are enough for board exam preparation if used properly. The CBSE board primarily sets questions based on NCERT textbooks, so a thorough understanding and practice of all exercise and miscellaneous problems can ensure high marks.
However, while NCERT is sufficient for scoring well in board exams, students aiming for 100% marks should also:
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Solve CBSE Sample Papers: Practicing sample papers helps in understanding the latest exam pattern and marking scheme.
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Attempt Previous Year Question Papers: Many questions get repeated from previous years, so solving these gives an added advantage.
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Focus on Presentation & Steps: In board exams, marks are awarded based on proper steps and presentation, not just the final answer.
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Refer to NCERT Exemplar & Extra Questions: These help in tackling high-order thinking skills (HOTS) questions that are often asked in exams.
For students looking for conceptual clarity and excellent problem-solving techniques, NCERT Solutions for Class 12 Maths are the best resource for board exam preparation.
NCERT Solutions for Class 12 Maths play a crucial role in board exam preparation as they provide comprehensive, step-by-step answers to all textbook problems. Since the CBSE board follows NCERT textbooks strictly, a majority of the exam questions are directly taken from these books. By practicing NCERT solutions, students can gain a strong conceptual understanding of key topics such as Calculus, Algebra, Probability, and 3D Geometry.
Another major advantage is that these solutions help students understand the correct problem-solving approach as prescribed by CBSE. Many students struggle with applying formulas and understanding complex theorems, but NCERT solutions simplify these concepts, making it easier to grasp.
Moreover, these solutions are useful for competitive exams like JEE, NDA, and other entrance tests, as NCERT forms the foundation of most question patterns. Practicing NCERT-based questions improves accuracy, speed, and confidence, ensuring that students score well in exams. Using NCERT Solutions for Class 12 Maths effectively allows students to build a strong mathematical foundation, making complex problems easier to solve.