Every student’s higher education begins in the 12th grade. As a result, it is an important stepping stone for students pursuing their objective of obtaining a high-quality education. When it comes to studies in Class 12, Math is a challenging yet vital subject for CBSE Class 12 students. The numerical problems require complex solutions, which causes some students to get confused. Students mostly get puzzled about which theory or equation to use to solve a problem.
The National Council of Education Research and Training (NCERT) sets the curriculum for all schools in the country that follow the Central Board of Secondary Education (CBSE). These NCERT Solutions are designed so that students first learn to check the marks assigned to a question and then solve it appropriately.
NCERT Solutions for CBSE Class 12 Maths will assist students in enhancing their problem-solving abilities. These NCERT Class 12 Solutions provide extensive step-by-step explanations of problems found in textbooks. It would also help students prepare for undergraduate-level engineering admission tests like VITEEE, JEE Mains 2022, etc. Students can access the JEE Main Maths syllabus through the Aakash website.
NCERT Chapters For CBSE Class 12 Maths
Chapter | Description |
Chapter 1- Relations and Functions |
In algebra, the concept of relations and functions is extremely significant. They are commonly used in both mathematics and everyday life. Chapter 1 is a heavy weightage topic with eight marks assigned to it.
The NCERT solutions to this topic are thoroughly discussed, including relevant and easy-to-understand examples. |
Chapter 2 – Inverse Trigonometric Functions |
This chapter introduces the inverse trigonometric function that is more useful later in terms of integration.
The NCERT solutions are helpful during test preparation since they can be used as a prompt and efficient review tool, saving you a lot of time. The weightage of this chapter is four marks. |
Chapter 3- Matrices |
This Chapter defines a matrix, types of matrices, operations on matrices, the inverse of a matrix by elementary operations and various examples. Matrices are essential for both CBSE and competitive examinations.
Students may put these NCERT Solutions for Class 12 to develop their problem-solving abilities. NCERT explains these concepts in simple terms to enable students to do well on the exams regardless of intellect level. |
Chapter 4- Determinants |
This chapter, correctly preceded by Matrix, deals with a key aspect of Matrices, namely Determinants.
NCERT Solutions for Maths Chapter 4 are well-crafted guides that develop a fundamental concept of determinants. It helps students score well on their exams and develop a thorough comprehension of all of the essential concepts. |
Chapter 5- Continuity and Differentiability |
NCERT Solutions for Maths Chapter 5 helps develop a thorough understanding of the many features of limits and continuity of functions. Students can read through each question’s comprehensive solution to understand the fundamentals of continuity and differentiability. |
Chapter 6- Applications of Derivatives |
This chapter focuses on function differentiability and an introduction to derivatives. It dives into the derivatives of certain functions and their applications.
NCERT Solutions for Maths Chapter 6 helps students study the entire chapter at a steady pace by solving each sum offered in the six exercises in this chapter. The concepts covered in NCERT solutions allow students to grasp the real-world application of derivatives. It is also useful to prepare for numerous competitive tests. |
Chapter 7- Integrals |
This is one of the most crucial chapters in the whole Class 12 Mathematics curriculum. This is the first lesson in Integral Calculus.
This chapter has 11 exercises, and the NCERT Solutions for Maths Chapter 7 helps students build a solid mathematical foundation to solve integral calculus calculations. Students get a knowledge of how differential and integral calculus are related. Students may apply these concepts to a variety of problems and utilise the NCERT solutions to double-check their answers. |
Chapter 8- Applications of Integrals |
This chapter discusses integrals to calculate areas under simple curves, lines, parabolas, and ellipses.
The two exercises in the textbook provide enough questions to practise area calculations. Once students have a solid understanding of integration, they can look through the underlined theory in chapter 8. Students must use the formulae and procedures they have studied and cross-reference their responses with these solutions. |
Chapter 9- Differential Equations |
Differential equations cover general and specific solutions to differential equations. This chapter also talks about the application of differential equations.
This chapter presents several new concepts built on previously taught material and, as a result, can be confusing. The NCERT solutions provide readers with a 360-degree picture of the chapter. As a result, students get a better understanding of the subject and double-check their answers after completing a question. |
Chapter 10- Vector Algebra |
The NCERT Solutions for Maths Chapter 10 are crucial because they show students how to apply the concept of vectors. This is useful not only for passing any mathematics exams but also for improving their understanding of Physics. They can also distinguish between the types of scalar and vector values. |
Chapter 11- Three Dimensional Geometry |
NCERT Solutions for Maths Chapter 11 provides knowledge to determine the direction of cosines and ratios. Apart from that, these materials aid in understanding a line’s Cartesian and vector equations. With the use of examples and drawings, these topics are thoroughly explained. The clear style of these answers makes it simple to gain a thorough understanding of the concepts. |
Chapter 12- Linear Programming |
NCERT Solutions for Maths Chapter 12 helps solve sums using a variety of graphical approaches. They also learn how to solve linear programming problems using fundamental theorems. NCERT solutions also provide different tips and strategies for quickly cross-checking the final answer. Additionally, these solutions offer methods for memorising formulae and concepts quickly. |
Chapter 13- Probability |
The NCERT Solutions for Maths Chapter 13 are comprehensive materials to build a thorough understanding of conditional probability. It helps students understand the many uses of probability. The interactive structure of these solutions is essential to improving students’ mathematics confidence. Practising with NCERT solutions also fosters a sense of self-achievement, which is necessary for taking competitive tests. |
How important are the NCERT Solutions for CBSE Class 12th Maths?
The approved books for the CBSE class 12 Board examinations are the NCERT books. This indicates they’ve been created with the CBSE Class 12 Maths curriculum. As a result, students don’t have to worry about missing any topics because the CBSE Board recommends the books. If there is a revision in the curriculum, the NCERT book will be instantly updated.
According to a poll, more than 75% of CBSE Class 12 students choose NCERT for their CBSE Class 12 Maths Board exam. |
Some of the reasons why an NCERT textbook is a student’s best friend before a board examination are discussed below:
- Helpful For Competitive Examinations
Are you aiming to acquire a decent mark on the JEE Mains or Advanced 2022 to get into one of India’s top colleges? Then, it would help if you had a firm foundation in mathematics. Also, take notes for revision when studying from the NCERT books. This revision notes come in handy for last-minute revisions.
JEE Mains 2022 exam pattern consists of both MCQs and numerical-based questions. The knowledge imparted from NCERT books will be quite useful in answering such questions.
Students can also access JEE’s previous year’s questions on the Aakash website.
- Sample Papers from NCERT
Students can start tackling the Maths example papers supplied at the end of the NCERT books once they’ve finished with the subjects and exercises in the NCERT book. This will give them an idea of the types of questions that will be asked on the CBSE Class 12 board test and the JEE Mains 2022 exam.
Students can also check with the NCERT answers for Class 12 Maths from Aakash’s NCERT solutions.
- Well-explained concepts
NCERT textbooks explain Maths concepts clearly and easily. High-weightage topics like Calculus and Probability are thoroughly presented straightforwardly. The visuals and activities in each chapter of the NCERT book (Maths) are quite helpful in clarifying all of the fundamentals.
These books can also provide the foundation for students preparing for Olympiads.
Unlike other textbooks, NCERT volumes may be downloaded for free in PDF format from their website, however, republishing is banned. |
Conclusion
The CBSE Class 12 board exam is a defining moment in one’s educational life. A strong performance in the class 12 test enhances the student’s confidence and makes him eligible for scholarships at various government and private colleges. As a result, it is critical to perform well in class 12 board examinations to savour success for the rest of one’s life. The Maths NCERT Solutions should be combined with the students’ school textbooks to help them better grasp the topics. It aids students in achieving high results in their Maths board examinations.
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