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In class 12, Maths is a very important subject as it lays the foundation for higher education as well as competitive exams like JEE, CUET, etc. If you want to master every concept and problem involved in this subject in an efficient manner, then you must utilize the Class 12 Maths NCERT solutions on SelfStudys. Designed by our team of experts, the resource aligns properly with the latest NCERT textbook and CBSE guidelines. This way, we make sure that you get precise answers and conceptual clarity.
Additionally, by using the Class 12 Maths NCERT solutions 2025-26, you will be able to strengthen your basics, practice important questions, revise effectively before exams, and so on. It will happen because the solutions have a clear format as well as detailed explanations, which makes it easier for you to grasp any tricky topic without confusion.
The Power of Mathematics
Mathematics is a field that includes numbers, structures, formulas, shapes, and changes in quantities. It also has various subdisciplines such as algebra, geometry, analysis, theory, and so on. In class 12, Maths is considered to be one of the most important subjects as it helps you build strong logical as well as problem-solving skills.
Once you study this subject and Class 12 Maths NCERT solutions PDF properly, you will understand how different concepts connect and how you can use them to solve a variety of problems. Your preparation for the exams also becomes more effective and structured by including these solutions in your practice routine. A few of the highlights of this resource are described in the table below.
|
HIGHLIGHT |
DESCRIPTION |
|
Name of the Resource |
NCERT solutions for Class 12 Maths |
|
Academic Year |
2025-26 |
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Type of Resource |
PDF (Portable Document Format) |
|
Content Type |
NCERT Class 12 Maths solutions chapter-wise |
|
Number of Chapters |
13 |
|
Study Mode for the NCERT Solutions Class 12 Maths 2025 |
Online as well as offline mode |
|
Free NCERT Class 12 Maths Solutions PDF Download Medium |
English |
Class 12 Maths NCERT Solutions 2025-26 For Every Chapter
Our main focus is to make your preparation easier and more organized. That’s why you get the latest Maths NCERT solutions for Class 12 in a chapter-wise layout. We make sure to cover every chapter that is a part of your CBSE syllabus and organize them in the same order as the textbook. This way, you can study every topic in a step-by-step manner. We have also placed some examples of our solutions PDFs below for your reference.
Why Choose SelfStudys For Class 12 Maths NCERT Solutions PDF?
Here are some points on why our educational platform stands out from other resources for the Class 12 Maths NCERT solutions. By going through them, you can learn why you should use our website for this study material.
Accurate and Error-Free NCERT Solutions For Class 12 Maths
The Class 12 Maths NCERT solutions 2025-26 on SelfStudys are prepared and checked twice by our experienced subject-matter experts. You will see that these answers are accurate, explained in a logical way, as well as align with the guidelines. It ensures that are material is 100% reliable.
NCERT Class 12 Maths Solutions Chapter-Wise have Simple Language and Easy Explanations
The problems that are complex to understand are broken down into simple and easy steps in our Class 12 Maths NCERT solutions PDF. By doing so, we try to make your learning smooth and interesting.
Concept-Based Learning Approach Used In The NCERT Solutions Class 12 Maths 2025
At SelfStudys, we don’t focus only on providing the final answers. Our experts also explain the concepts and logic behind every step of the NCERT solutions for Class 12 Maths. In this way, you can build a strong understanding of the concepts for the board as well as competitive exams.
Free NCERT Class 12 Maths Solutions PDF Download Facility
Each PDF for the NCERT Class 12 Maths solutions chapter-wise is available to download for free. You can study offline anytime that suits you without the need for an internet connection. This will make your learning sessions more flexible as well as convenient.
Latest Maths NCERT Solutions For Class 12 Are Helpful For Quick Revision
The NCERT solutions Class 12 Maths 2025 for every chapter are an excellent material for revision purposes. When the exam comes, you can go through these solved examples and questions quickly. It will refresh your memory on important formulas and methods.
How To Access Class 12 Maths NCERT Solutions On SelfStudys?
With the help of the steps that are mentioned below, you will be able to access our files for the free NCERT Class 12 Maths solutions PDF download easily.
- You can reach SelfStudys by typing www.selfstudys.com on your favorite browser.
- As soon as the website opens, you can move to the ‘Navigation’ tab and click on it.
- This will showcase our main menu, from where you have to select the ‘NCERT’ section.
- The section will expand further with various study materials related to the NCERT. Here, you can simply tap on the ‘NCERT Solutions’ icon.
- Now, a new web page where these solutions are available for various classes will appear, and you need to click on the 12th class button.
- Then, from the subject-wise list, you can select the latest Maths NCERT solutions for Class 12.
- In the next step, you have to choose any chapter for which you want to download the Class 12 Maths NCERT solutions on the new page.
- Finally, you can save the PDF for the Class 12 Maths NCERT solutions 2025-26 on your device and utilize it effectively.
Note: A simple Google Log In is required on SelfStudys for accessing the Class 12 Maths NCERT solutions PDF.
Common Mistakes To Avoid In Every Chapter With Class 12 Maths NCERT Solutions 2025-26
Even if you are the most intelligent student, you can lose crucial marks in this subject. This can happen with just a small calculation error or skipped logic. For this reason, we have discussed some common mistakes of each chapter that you can easily avoid with the help of the NCERT solutions for Class 12 Maths in the table below.
|
Chapter Name |
Mistake |
Why it Happens |
Fix it Up |
|
1. Relations and Functions |
Confusing domain and range, or writing them incorrectly. |
We have seen that many students just ignore the definitions of domain and range. They even try to form their own opinion without checking the relation properly. |
You must use the NCERT Class 12 Maths solutions chapter-wise and see the examples in which the domain as well as range are identified in a correct way. You should also practice recognizing them in every problem. |
|
Errors in function composition |
While composing the two functions, you might mix up their order or think it's commutative. |
In our NCERT solutions Class 12 Maths 2025, you will get step-by-step examples. You need to follow them to understand the correct sequence of operations. |
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2. Inverse Trigonometric Functions |
Forgetting principal value ranges |
Some students try to apply the inverse trigonometric functions without remembering the actual range. This can lead to wrong answers. |
You should study the free NCERT Class 12 Maths solutions PDF download and learn the principal value ranges. You should also check how they affect the answers. |
|
Domain errors while simplifying |
If you substitute the values outside the domain of the function, then it can lead to undefined results. |
You have to check the simplifications in the latest Maths NCERT solutions for Class 12 step by step. It will help you see how domain constraints are applied at different stages. |
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|
3. Matrices |
Mistakes in transposing or inverting |
It is noticed that students often skip steps or make miscalculations while finding the transpose, determinant, or inverse. |
The Class 12 Maths NCERT solutions include proper stepwise methods. You should check them very carefully to avoid this error. |
|
Mismatched ordered in operations |
By ignoring the matrix dimensions, you can make multiplication errors. |
There are compatibility rules mentioned in the Class 12 Maths NCERT solutions 2025-26, which you should follow. Also, you need to make sure that you practice multiplying matrices of correct orders only. |
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|
4. Determinants |
Sign errors in cofactor expansion |
If you forget the pattern of the checkerboard, then you will get incorrect determinant values. |
You must learn the proper sequence of signs from the Class 12 Maths NCERT solutions PDF. You may also practice expanding along different rows or columns. |
|
Ignoring determinant properties |
In case you don't use properties such as ‘determinant of a triangular matrix’, then you might have to do long calculations unnecessarily. |
You need to refer to the NCERT solutions for Class 12 Maths and understand the shortcut methods or property-based solutions. This will help you save a lot of time. |
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|
5. Continuity and Differentiability |
Mixing up continuity and differentiability |
A number of students just think that continuity implies differentiability automatically, or confuse the conditions. |
The NCERT Class 12 Maths solutions chapter-wise include proper definitions and examples that you must study to distinguish between the two concepts. |
|
Neglecting LHL and RHL |
You might forget to check the left-hand and right-hand limits while testing continuity. |
In the NCERT solutions Class 12 Maths 2025, you should go through the ones where limits are calculated and equality is verified. |
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|
6. Applications of Derivatives |
Wrong intervals for increasing/decreasing |
Some forget to test derivative signs for intervals properly. |
You need to refer to the free NCERT Class 12 Maths solutions PDF download and see the entire testing of intervals. Then, you must learn how to determine where a function rises or falls. |
|
Misinterpreting maxima/minima tests |
There can be confusion between the first and second tests of derivatives. |
You should use the examples that are given in the latest Maths NCERT solutions for Class 12 to determine the correct tests for different types of problems. |
|
|
7. Integrals |
Improper limits in definite integrals |
If you substitute the limits incorrectly, then you will get only wrong answers. |
With the help of the Class 12 Maths NCERT solutions, you should check the correct substitution of limits and evaluation. |
|
Forgetting the constant of integration |
A few students skip ‘+C’ in the indefinite integrals. |
You have to always include the ‘+C’ as done in the Class 12 Maths NCERT solutions 2025-26 and check them very carefully. |
|
|
8. Applications of Integrals |
Confusion of area under the curve vs. area between curves |
You may misread the problem or formula differences. |
You need to check the solved examples in the Class 12 Maths NCERT solutions PDF and understand how the calculations of area differ. You should also learn when to use every formula. |
|
Wrong limits from graphs |
Some read the intersection points of curves incorrectly. |
There are graphical solutions in the NCERT solutions for Class 12 Maths to which you should refer for proper interpretation of the limits. |
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|
9. Differential Equations |
Confusing separable and linear equations |
You can misidentify the type of equation. |
You need to study the NCERT Class 12 Maths solutions chapter-wise related to it. Also, make sure that you recognize the types and apply the right methods. |
|
Errors with integrating factors |
Application of the wrong formula or sign. |
You should check the formulas in the NCERT solutions Class 12 Maths 2025 and practice to find the correct factor of integration. |
|
|
10. Vector Algebra |
Mixing scalar and vector quantities |
You might confuse magnitude with direction. |
In the free NCERT Class 12 Maths solutions PDF download, you should separate scalar and vector operations in a clear manner. |
|
Sign errors in the dot/cross product |
By misapplying formulas, you will get wrong results. |
You have to follow the formula steps that are given in the latest Maths NCERT solutions for Class 12 and check the calculations very carefully. |
|
|
11. Three-Dimensional Geometry |
Misapplying direction cosines/ratios |
A few students do confuse the formulas or miscalculate. |
You should see the examples in the Class 12 Maths NCERT solutions. They will help you use the correct direction cosines and ratios. |
|
Mistakes in the angle between lines/planes |
You might substitute the incorrect coordinates. |
It is important that you check out the Class 12 Maths NCERT solutions 2025-26 for detailed step-by-step examples. |
|
|
12. Linear Programming |
Incorrect feasible region |
Some misplace the inequalities or forget the boundaries. |
You will see that there are graph examples in the Class 12 Maths NCERT solutions PDF. You must understand them for proper shading and identification of the region. |
|
Choosing the wrong points of the corner |
You might not verify the vertices before optimization. |
In order to select and check every corner point correctly, you have to use the NCERT solutions for Class 12 Maths. |
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|
13. Probability |
Incorrect conditional probability |
Our experts have noticed that a few students use the wrong formula or ignore the conditions. |
By using the NCERT Class 12 Maths solutions chapter-wise, you will know the correct application of conditional probability. |
|
Misunderstanding complements or total probability |
You may forget to subtract or apply the formula of total probability. |
With the help of the structured examples in the NCERT solutions Class 12 Maths 2025, you can learn the calculation methods properly. |
Conclusion
If you want to get a deep understanding of the mathematical concepts, then you must utilize the free NCERT Class 12 Maths solutions PDF download on the educational platform of SelfStudys. With their help, you will not only have step-by-step guidance on solving problems but also reinforce the core principles as well as techniques. Also, by using them properly, you will be able to develop strong problem-solving skills and logical thinking. These are quite important for success in the board and competitive exams.
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