Class 12 is truly a significant turning point in your life since it allows you to make critical decisions about your future based on your academic achievements. Indeed, mathematics is an important part of the Class 12 curriculum as well as the syllabus of all competitive exams. Whether you want to be an engineer or a doctor, you will have to deal with math in every aspect of your life. Making class 12 concepts concrete will greatly assist you in achieving good results in the CBSE Class 12 board exam as well as other competitive tests. The NCERT Solution for Class 12 Maths is essential for test preparation because it contains complete chapter-by-chapter solutions to all exercises. First and foremost, you should remember that NCERT books are the most powerful instrument you can use to learn the foundations.
The advantages of using NCERT solutions for class 12 maths are not limited to your achievement in math only but they also create the groundwork for other crucial disciplines. Understanding the derivations and concepts behind the numericals of Science can be greatly aided by having a firm grasp on the thorough intricacies of particular Math chapters such as Calculus, differential equations, and so on. You can get each and every chapter of CBSE Class 12th NCERT Solutions for free on websites like Doubtnut. Each exercise’s solutions have been handpicked and reviewed by some of India’s greatest teachers. It contains all of the answers to the questions from the NCERT textbook’s key chapters. The chapters from each chapter are organised in a logical and linear order, making it simple to grasp the principles.
Few of the chapter covered in NCERT Solutions for Mathematics:
Relations and Functions (Chapter 1):
The first chapter of maths covers the concepts of relations and functions, as well as domain, co-domain, and range, which were introduced in the class 11 syllabus, as well as many types of specific real valued functions and their graphs. In this chapter, you’ll answer questions from four exercises that cover all of the important themes.
Inverse Trigonometric Functions (Chapter 2):
There are only two activities in CBSE Class 12 Inverse Trigonometric Functions where you will learn about the limits on domains and ranges of trigonometric functions that allow you to see their inverses and watch their behaviour using graphical representations. Aside from that, several fundamental properties will be discussed. In calculus, the inverse trigonometric functions are extremely useful since they are used to define numerous integrals. The concepts of inverse trigonometric functions are widely used in research and engineering.
Matrix (Chapter 3):
Matrices are important to understand since they are used in many different disciplines of mathematics. Matrices are regarded as one of mathematics’ most powerful tools. When compared to other ways, it greatly simplifies your task. This chapter’s four exercises contain a total of 62 questions. You’ll learn more about the principles of matrices and matrix algebra in this chapter.
Determinants (Chapter 4):
Matrix algebra is covered in Chapter 3. In this chapter, however, you will only be studying determinants up to order three with real entries. In addition, the six exercises are organised in such a way that you will learn about determinants’ properties, cofactors, and applications in finding the area of a triangle, minors, adjoint and inverse of a square matrix, consistency and inconsistency of systems of linear equations, and solution of linear equations in two or three variables using inverse of a matrix.
Few Of The Chapters Covered In NCERT Solutions For Class 10 Physics:
Electric Charges and Field (Chapter 1):
This is the first chapter of Class 12 Physics, and it covers topics such as different forms of electric charge and their fields, electron transference, additivity of charges, charge conservation, charge quantization, Gauss’s rule, and so on. This chapter covers a total of 15 different topics. Along with the theories, you will be given a few exercises to complete as well as solutions to help you fully comprehend each subject.
Electrostatic Potential and Capacitance (Chapter 2):
The electrostatic potential, the electrostatic potential difference between two points in an electric field, the various factors that lead to electrostatic potential, the relationship between electric field and potential gradient, the potential energy in an external field, and other topics related to electrostatic potential are covered in this chapter for students in Class 12. To help students comprehend the subject better, the formulas relevant to each topic are also explained. At the end of the chapter, there are exercises to test your knowledge of the subject.
Current Electricity (Chapter 3):
This is an important chapter for CBSE board students in Class 12 and should be studied carefully. In this chapter, there are a total of 16 topics covered. Electric current, current density, how the flow of electric charge differs in solid metallic conductors and liquid conductors, drift velocity, Ohm’s law, the relationship between resistivity and relaxation time, and other concepts are taught to students. Formulas are also discussed, and at the end of the chapter, there are exercises to complete.