Students spend hours every day studying for the best marks in their Class 12 Board examinations. The 12th Board exams are a key factor in deciding the career path of students after their school education. Students give their best in preparing for the examination, but sometimes students miss going through the syllabus. When you are preparing for your CBSE Class 12 Board exams, it is best to have a brief overview of the entire syllabus, topics, subtopics, and concepts all on one page. Besides the board examinations, the syllabus also helps prepare for the entrance examinations like JEE and AIPMT.
At Eduauraa, you can download NCERT Solutions for Class 12 Maths and prepare yourself for all the examinations. The solutions provide the proper guidance and are an essential tool in developing all the mathematical skills and understanding all the concepts. Additionally, the solutions also come with several sample papers, previous year questions, and exemplar questions for building a solid base for all entrance examinations and the CBSE Class 12 Maths examination.
CBSE Class 12 Maths Course Pattern:
The Maths Class 12 Chapters are as follows:
The Chapters include (Chapter-wise):
Chapter 1 of the CBSE Class 12 Maths syllabus deals with relations and functions. It has four exercises that provide several problems in topics like binary operations, invertible functions, and more. The chapter also has a miscellaneous exercise that gives exclusive questions on topics like the inverse of functions, composite functions, etc.
The chapter deals with inverse trigonometric functions and the several concepts that revolve around the topic. The chapter explains all the concepts very elaborately and explains them with several diagrammatic and numerical examples. The chapter is divided into two exercises that contain all major questions from the topics.
The CBSE Class 12 maths syllabus includes Matrices. The chapter talks about a plethora of concepts that revolve around the topic. Some of the several topics are the addition of matrix, operation on matrices, scalar matrix, properties of matrices, etc. the chapter is divided into four exercises that provide extensive problems on all the concepts and topics.
The chapter on determinants provides an extensive understanding of determinants. The chapter talks about the definition of determinants, finding the area of a triangle, application of determinants, etc. the textbook has six exercises that provide all possible questions for the topics.
Chapter 5 of the NCERT Class 12 Maths syllabus is the introduction to calculus. The chapter talks about several concepts like the algebra of continuous function, exponential and logarithmic functions, derivatives of functions in parametric forms, etc. there are eight exercises to practice.
The chapter dedicated itself to the application of derivatives. The chapter has five exercises that provide problems on topics like the first derivative test, and maximum and minimum values of a function in a closed interval.
Chapter 7 of the Class 12 CBSE Maths syllabus consists of several topics that include the comparison between differentiation and integration, definite integral as the limit of a sum, properties of indefinite integral, and much more.
This chapter talks about the basic applications of integrals. The chapter consists of topics like area under simple curves, area of the region bounded by a curve and a line, and the area between two curves.
Chapter 9 of the syllabus of Class 12 CBSE is on differential equations and is based on concepts like the first-degree differential equations, differential equations with variable separable, order of a differential equation, general and particular solutions of a differential equation, etc. the chapter is divided into six exercises that discuss the different forms of linear differential equations.
The chapter deals with the introduction to vector algebra and all the other concepts that revolve around vector algebra. Some of the most important topics in the chapter are the multiplication of a vector by a scalar, properties of vector addition, section formula, etc.
Three-dimensional geometry deals with several topics of coordinate geometry and the cartesian plane. The chapter deals with several topics like the XY plane, derivation of cartesian form from vector form, the relation between the direction cosines of a line, direction cosines of a line passing through two points, and much more.
The chapter on Linear programming deals with concepts like the graphical method of solving linear programming problems, different types of linear programming problems, etc. This chapter is a crucial part of the Class 12 syllabus CBSE Maths.
Probability is an interesting chapter that deals with facts and formulas similar to the ones from Class 12. The topics covered in the chapter are the partition of a sample space, a theorem on total probability, random variables, and their probability distributions, and many more.
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