Mathematics is one of the most essential subjects as it is highly important if you want to pursue science in higher studies. It is one of the few subjects where students can secure 100% marks if done with utmost knowledge and dedication flawlessly. Although this subject remains easier in primary schools, it becomes quite harder in higher secondary.
Often math’s of class 12 seems challenging to candidates due to its complexity and comprehensiveness. So, to solve their problems, the National Council of Educational Research and Training (NCERT) organization of the Indian Government has adopted some Class 12 Math’s NCERT solutions for qualitative analytical development.
A Comprehensive Guide to Class 12 Math’s NCERT Solutions
Following is the complete guide to the class 12 mathematics NCERT solutions:
- Math’s NCERT Solutions for Class 12: Chapter 1 Relations and Functions
Chapter 1 of the NCERT math’s book focuses on the revision of the concepts of relations, functions, codomain, and domain learnt in Class 11. Here, candidates explore many real-valued functions alongside their graphical diagrams. The chapter also has four exercises which are focused on the concepts clarified in the chapter.
- Math’s NCERT Solutions for Class 12: Chapter 2 Inverse Trigonometric Functions
This is a trigonometry-based chapter, which explores the inverse trigonometric functions through 2 exercises that teach learners the behavior of those functions, their graphical illustrations, and the basic properties.
- Math NCERT Solutions for Class 12: Chapter 3 Matrices
This chapter is about the properties of one of the most essential tools of Math, namely Matrices. Here, students will learn the fundamentals of Matrices and matrix Algebra, as well as properties of matrix addition, multiplication of matrices, properties of scalar multiplication, transpose of a matrix, properties of multiplication of matrices, skew-symmetric matrices, and so on.
- Math NCERT Solutions for Class 12: Chapter 5 Continuity and Differentiability
This chapter takes you through the main concepts of Differentiability and Continuity and shows the major relationship between them. Besides, it deals with the differentiability and continuity of Inverse Trigonometric Functions. In addition, this chapter also gives you an introduction to logarithmic functions.
- Math NCERT Solutions for Class 12: Chapter 6 Application of Derivatives
Apart from Differentiability and Continuity, this chapter takes you to the introduction of Derivatives. It explores the derivatives of various functions, and their uses like increasing and decreasing functions, rate of change of quantities, maxima and minima, approximations, tangents and normal, and miscellaneous examples.
- Math NCERT Solutions for Class 12: Chapter 7 Integrals
This is one of the most crucial as well as time-consuming chapters in the Class 12 syllabus of Mathematics. It deals with the integration of functions, its applications in the calculation of areas, integration via trigonometric identities, and so on. In total, there are 11 exercises in this chapter.
- Math NCERT Solutions for Class 12: Chapter 8 Application of Integrals
This chapter deals with the uses of integrals in computing areas under lines, simple curves, ellipses, and parabolas. It has two exercises which offer sufficient questions for practicing.
- Math NCERT Solutions for Class 12: Chapter 9 Differential Equations
This chapter takes you through the introduction of differential equations, general and particular solutions of a differential equation, degree of a differential equation, formation of a differential equation, order of a differential equation, etc. The chapter has six exercises for practicing questions/answers.
- Math NCERT Solutions for Class 12: Chapter 10 Vector Equations
This chapter of NCERT math book gives an introduction to vector quantities, which is, the quantities having both direction and magnitude. The Vector algebra summons the rules of addition of vector integers, and other vital properties. This chapter also plays a crucial role in Physics.
- Class 12 Math NCERT Solutions: Chapter 11 Linear Programming
This chapter mainly explores the rudimentary of linear programming, and their solutions using only the graphical technique.
- Class 12 Math NCERT Solutions: Chapter 12 Probability
This chapter is about Conditional Probability, The Bayes’ Theorem, conditional probability, the multiplication rule of probability, the basics of conditional probability, etc. You can understand this chapter better by practicing more and more questions.
Strengthening yourself in mathematics during class 12 is highly essential if you are planning to build your career on this subject. Since this subject is quite difficult in the higher secondary standard, the Indian Government provides the class 12 math NCERT solutions to help you secure good marks in the exam and build the foundation of a golden career.