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NCERT Solutions Class 12 Maths All Exercises – Chapter-wise Solutions

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NCERT Class 12 Maths All Exercise Solutions for Board Exam Preparation

NCERT Solutions Class 12 Maths All Exercises provide complete, step-by-step answers to every question in the latest NCERT Mathematics textbook. Designed according to the current CBSE syllabus, these Class 12 Maths NCERT Solutions help students understand difficult concepts, learn the correct problem-solving methods, complete homework, and prepare confidently for the Class 12 board examination.

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Vedantu’s Class 12 Maths All Exercise Solutions are organised chapter-wise and cover important topics such as Relations and Functions, Matrices, Determinants, Calculus, Vector Algebra, Three-Dimensional Geometry, Linear Programming, and Probability. Each solution is explained in a clear and easy-to-follow manner, helping students improve accuracy, strengthen conceptual understanding, and revise efficiently for board exams and entrance tests.


NCERT Solutions for Class 12 Maths | Exercise-wise List for All Chapters

This page provides a comprehensive exercise-wise list of NCERT Solutions for Class 12 Maths, organised by chapters. Each entry includes detailed solutions to the exercises from the textbook (Part I and Part II), ensuring students have access to step-by-step explanations for every problem. This format allows for easy navigation, enabling learners to quickly find the specific exercises they need help with.


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Chapter-wise NCERT Solutions for Class 12 Maths - All Exercises

Chapter 1: Relations and Functions

1

Exercise 1.1 Solutions

2

Exercise 1.2 Solutions

3

Miscellaneous Exercise on Chapter 1 

Chapter 2: Inverse Trigonometric Functions

1

Exercise 2.1 Solutions

2

Exercise 2.2 Solutions

3

Miscellaneous Exercise on Chapter 2

Chapter 3: Matrices

1

Exercise 3.1 Solutions

2

Exercise 3.2 Solutions

3

Exercise 3.3 Solutions

4

Exercise 3.4 Solutions

5

Miscellaneous Exercise on Chapter 3

Chapter 4: Determinants

1

Exercise 4.1 Solutions

2

Exercise 4.2 Solutions

3

Exercise 4.3 Solutions

4

Exercise 4.4 Solutions

5

Exercise 4.5 Solutions

6

Miscellaneous Exercise on Chapter 4

Chapter 5: Continuity and Differentiability

1

Exercise 5.1 Solutions

2

Exercise 5.2 Solutions

3

Exercise 5.3 Solutions

4

Exercise 5.4 Solutions

5

Exercise 5.5 Solutions

6

Exercise 5.6 Solutions

7

Exercise 5.7 Solutions

8

Miscellaneous Exercise on Chapter 5

Chapter 6: Application of Derivatives

1

Exercise 6.1 Solutions

2

Exercise 6.2 Solutions

3

Exercise 6.3 Solutions

5

Miscellaneous Exercise on Chapter 6

Chapter 7: Integrals

1

Exercise 7.1 Solutions

2

Exercise 7.2 Solutions

3

Exercise 7.3 Solutions

4

Exercise 7.4 Solutions

5

Exercise 7.5 Solutions

6

Exercise 7.6 Solutions

7

Exercise 7.7 Solutions

8

Exercise 7.8 Solutions

9

Exercise 7.9 Solutions

10

Exercise 7.10 Solutions

11

Miscellaneous Exercise on Chapter 7

Chapter 8: Application of Integrals

1

Exercise 8.1 Solutions

2

Miscellaneous Exercise on Chapter 8

Chapter 9: Differential Equations

1

Exercise 9.1 Solutions

2

Exercise 9.2 Solutions

3

Exercise 9.3 Solutions

4

Exercise 9.4 Solutions

5

Exercise 9.5 Solutions

6

Miscellaneous Exercise on Chapter 9 

Chapter 10: Vector Algebra

1

Exercise 10.1 Solutions

2

Exercise 10.2 Solutions

3

Exercise 10.3 Solutions

4

Exercise 10.4 Solutions

5

Miscellaneous Exercise on Chapter 10

Chapter 11: Three Dimensional Geometry

1

Exercise 11.1 Solutions

2

Exercise 11.2 Solutions

3

Miscellaneous Exercise on Chapter 11

Chapter 12: Linear Programming

1

Exercise 12.1 Solutions

Chapter 13: Probability

1

Exercise 13.1 Solutions

2

Exercise 13.2 Solutions

3

Exercise 13.3 Solutions

4

Miscellaneous Exercise on Chapter 13

Competitive Exams after 12th Science
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Importance of Vedantu’s NCERT Class 12 Maths All Exercises Solutions

Most students preparing for CBSE boards treat NCERT as a book to finish rather than a resource to master.


The difference shows in results. Students who work through NCERT class 12 maths exercise wise solutions chapter by chapter, in order, build a kind of mathematical fluency that cramming past papers alone cannot replicate. 


Here is why the chapter-wise structure matters in practice.


  • Working through class 12 maths all chapters solutions in order keeps learning connected rather than fragmented. 

  • Continuity and Differentiability builds directly on the function concepts introduced in Relations and Functions. Integration in Chapter 7 depends on differentiation rules established in Chapters 5 and 6. 

  • Probability in the final chapter draws on set theory from the very first. Focused exercise-wise practice is also the most efficient use of revision time. 

  • Rather than re-reading theory, returning to the specific exercise where a concept was tested shows immediately whether understanding is solid or surface-level. 

  • The NCERT class 12 maths exercise solutions PDF format makes this kind of targeted revision possible anywhere. 

  • Self-assessment is built into the chapter-wise structure in a way that no mock test can replicate for a student still mid-preparation.


Important Related Links for CBSE Class 12 Maths

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FAQs on NCERT Solutions Class 12 Maths All Exercises – Chapter-wise Solutions

1. How many chapters are there in Class 12 Maths NCERT and how many exercises does each chapter have?

Class 12 Maths has 13 chapters split across two books. Mathematics Part I covers Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability and Application of Derivatives.


Mathematics Part II covers Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three-Dimensional Geometry, Linear Programming and Probability. The number of exercises per chapter varies, with Integrals having the highest count given its weight in the paper.

2. Are Class 12 Maths all exercise solutions available as a PDF download?

Yes. The NCERT class 12 maths exercise solutions PDF for every chapter is available here as download. Each PDF is chapter-specific, so you can download only what you need, and the solutions are written in full step-by-step format rather than as compressed answer keys.

3. What is covered in the class 12 maths miscellaneous exercise solutions?

Every chapter in NCERT Class 12 Maths ends with a miscellaneous exercise that combines concepts from across the chapter and is generally harder than the individual exercise sets. These are the questions boards draw from most often for higher-order and application-based problems. The class 12 maths miscellaneous exercise solutions here cover every question in each miscellaneous set with complete working and, where relevant, alternative methods.

4. What is the best way to use class 12 maths exercise wise solutions for board preparation?

Attempt the question first, then check the solution. Use the solution to verify your method at each step, not just the final answer. Once a chapter's exercises are complete, move to the miscellaneous exercise, then to NCERT Exemplar, then to previous year papers. The class 12 maths exercise wise solutions work best as a correction and method-check tool rather than a reading resource.

5. Which chapters should students prioritise in NCERT solutions class 12 maths all exercises?

Calculus carries 35 of the 80 theory marks, so Chapters 5 to 9 covering Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals and Differential Equations are the highest priority. 

Algebra covering Matrices and Determinants carries 10 marks and is highly scoring with practice. Vectors and Three Dimensional Geometry together carry 14 marks. Students should complete Class 12 Maths all chapters solutions in syllabus order since later chapters build on earlier ones.

6. Are the NCERT Class 12 Maths solutions updated for the 2026-27 CBSE syllabus?

Yes. All solutions on this page follow the current CBSE 2026-27 syllabus, which organises Class 12 Maths into six units and 13 chapters with 80 marks of theory and 20 marks of internal assessment. Any chapter or topic removed in earlier syllabus revisions is not included.

7. Do these solutions cover the miscellaneous exercises of every chapter?

Yes. Miscellaneous exercises are included for every chapter that contains one, and they are treated with the same step-by-step detail as the main exercise solutions. Given that board papers frequently draw higher-difficulty questions from these sections, the Class 12 Maths all exercise solutions here treat miscellaneous exercises as essential rather than optional.

8. Can these solutions help with JEE Main preparation alongside boards?

Yes, particularly for Calculus, Algebra and Probability. NCERT forms the conceptual base that JEE Main questions are built on, and a student who genuinely understands NCERT Maths Class 12 all exercise solutions rather than just memorising results finds JEE application questions significantly more manageable. For JEE Advanced, NCERT is necessary but not sufficient, and NCERT Exemplar and additional problem sets are needed on top.

9. Is NCERT enough for scoring above 90 in Class 12 Maths boards?

For most students, thorough practice of NCERT solutions Class 12 Maths, all exercises, including every miscellaneous exercise and solved example, is sufficient to score above 90. The additional edge in the 95 and above range typically comes from NCERT Exemplar, sample papers and previous year question papers, which train students on question phrasing and time management rather than introducing new concepts.