CBSE CLASS XII MATHS BOOK
National Council of Educational Research and Training (NCERT) Book for Class XII Subject: Maths. NCERT Class XII Maths Book Part I and Part II are given. MathematicsPartI. NCERT/CBSE class 12 Mathematics book MathematicsPartI . maths is great .. Like · Reply · Mark as spam · 26 · 7y · Nishad Najeem. If you've ever wanted simple guides that break down tough to understand concepts step-by-step in a lucid manner, then the CBSE NCERT Maths Book Class
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First strengthen your basics complete ncert and RD Sharma,this 2 books will help you a lot once you complete your syllabus (before boards. Download NCERT class 12 Books for all Subjects (Science, Commerce and Humanities) in Hindi and English Medium. Start your class 12 studies @BYJU'S and. NCERT Solutions class 12 Maths provides a solid conceptual base for all the topics included in CBSE class 12 maths syllabus (). It covers all the.
Chapter 2: Inverse Trigonometric Functions There are many functions which are not one-one, onto or even both and hence we cannot talk of their inverses. In Class 11 studied that trigonometric functions are not one-one and onto over their natural domains and ranges and hence their inverses do not exist.
In CBSE Class 12 Inverse Trigonometric Functions, there are only two exercises where you will study about the restrictions on domains and ranges of trigonometric functions which enables the visibility of their inverses and observe their behaviour through graphical representations.
Besides, some elementary properties will also be discussed. The inverse trigonometric functions hold a great value in calculus for they serve to define many integrals.
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Matrices are considered as one of the most powerful tools in mathematics. It simplifies our work to a great extent when compared with other methods. There are total 62 questions in 4 exercises of this chapter. In this chapter, you will be delving deeper into the fundamentals of matrix and matrix algebra.
Chapter 4: Determinants In chapter 3, matrices and algebra of matrices will be explained. Whereas, in this chapter, you will be studying about determinants up to order three only with real entries. Also, the six exercises are distributed in a way that you will study various properties of determinants, cofactors and applications of determinants in finding the area of a triangle, minors, adjoint and inverse of a square matrix, consistency and inconsistency of system of linear equations and solution of linear equations in two or three variables using inverse of a matrix in these exercises.
Chapter 5: Continuity and Differentiability This chapter is the extension of differentiation of functions which you have studies in Class XI.
NCERT Class XII Maths Book
You must have learnt to differentiate certain functions like polynomial functions and trigonometric functions.
This chapter explains the very important concepts of continuity, differentiability and relations between them. You will be learning about differentiation of inverse trigonometric functions. Furthermore, you will be getting acquainted with a new class of functions called exponential and logarithmic functions. There is a total of eight exercises in this chapter so you will have to dedicate some extra time and effort to get well-versed with this chapter.
Chapter 6: Application of Derivatives In Chapter 5, you would learn how to find derivative of composite functions, implicit functions, exponential functions, inverse trigonometric functions, and logarithmic functions. In this chapter, you will study the applications of the derivative in various disciplines such as engineering, science, and many other fields.
For instance, we will learn how the derivative can be used to determine rate of change of quantities and to find the equations of tangent and normal to a curve at a point and many more usage of derivatives. We will also use derivative to find intervals of increasing or decreasing functions.
There are five exercises in total where you will get the detailed insight into the Application of Derivatives. Finally, the derivative is used to find approximate value of certain quantities. Chapter 7: Integrals Differential Calculus is based on the idea of derivative. Derivative came into existence for the problem of defining tangent lines to the graphs of functions and calculating the slope of such lines.
Integral Calculus eases the problem of defining and calculating the area of the region bounded by the graph of the functions.
With a total of eleven exercises in total, you will have to learn each and every topic and their related questions with sheer concentration. Chapter 8: Application of Integrals Here, in this chapter, you will study some specific application of integrals to find the area given under the simple curves, also, area between lines and arcs of circles, parabolas and ellipses standard forms only. There are two exercises in this chapter in which you will also deal with finding the area bounded by the above said curves.
Chapter 9: Differential Equations In Differential Equations, you will be studying some basic concepts related to differential equation, general and particular solutions of a differential equation, formation of differential equations, number of methods to solve a question based on first order - first degree differential equation and some applications of differential equations in different areas.
Chapter 5 — Continuity and Differentiability The 5th chapter of the book is dedicated to the theories of continuity and differentiability. Some of the topics covered in this chapter are the Algebra of continuous functions, Derivatives of composite functions and implicit functions, Derivatives of inverse trigonometric functions, Derivatives of Functions in Parametric Forms, Exponential and Logarithmic Functions and their differentiation, Mean Value Theorem, and Second Order Derivative.
The chapter also helps the students examine certain functions of continuity and generate conclusions.
NCERT Books For Class 12
There are four exercises that will teach the students to find the points of discontinuity for a certain variable when it is defined by a function, etc. Chapter 6 — Application of Derivatives This chapter teaches students the application of derivatives.
A few topics covered in this chapter are approximations, increasing and decreasing functions, maxima, and minima, the rate of change of quantities, tangents and normals, etc.
Each chapter is well-explained in a step by step manner for the students to understand the concept well. There are about four exercises that students can practice to get a better grasp of the concept. Students can also refer to the explanations and other guidelines in the chapter while preparing for exams.
NCERT Solutions for Class 12 Maths - Free PDF Download
Chapter 7 — Integrals The 7th chapter of the book discusses the theory of Integral calculus. This is an important chapter in mathematics and students need to pay careful attention.
The topics covered in this chapter are inverse Process of Differentiation, Geometrical interpretation of indefinite integral, Indefinite integrals and their properties, the difference Between Differentiation and Integration, the Methods of Integration, the usage of trigonometric identities in Integration, the Formulas and Types of Integrals, the Integrals Techniques, the Properties of Definite Integrals, the Calculus Fundamental Theorems, the First and Second fundamental theorems of integral calculus, the evaluating Definite Integrals by Substitution, among many others.
Chapter 8 — Application of Integrals After discussing all about integrals in the last chapter, the 8th chapter of the book discusses the applications of integrals in various cases. In this chapter, the students are taught several important concepts of application like how to find the area under simple curves, the area between two curves, and the area of the region bounded by a curve and a line.
All these three concepts of applications are explained with simple diagrams and various examples so that the students can understand the concept of integrals and its various applications in a better way.
Chapter 9 — Differential Equation This is an important chapter not only in Mathematics but is also used in solving many Physics derivations and is used in some of the chapters in the field of engineering too.
Some of the topics covered in this chapter are the degree of a differential equation, the First-degree differential equations, the general and particular solutions of a differential equation, the Methods of Solving First Order, among the others.
There are six exercises at the end of the chapter too that have been solved for the students to understand and grasp the subject in a better way. Chapter 10 — Vector Algebra The 10th chapter of the NCERT Books for Class 12 Maths covers a few important topics like applying vectors to figures, how to differentiate vectors and scalars, functions on vectors, among the many others.
To have a clear and better understanding of the topics, there are also four solved exercises at the end of the chapter. All the exercises are designed according to the CBSE syllabus and follow the requisite guidelines.
Students can practice the same to master the concepts as well as perform well in the board examination and other competitive exams. Chapter 11 — Three Dimensional Geometry After studying vector algebra in the previous chapter, students are introduced to the concept of 3D geometry in the 11th chapter of the book.
Students are taught all about the concept of 3D geometry and various topics related to the subject are discussed in details for the students to understand. There are three solved exercises at the end of the chapter for the students to understand the chapter well.
Each solution is designed following the guidelines of the CBSE, so students can rest assured that practicing these exercises will help them understand and master the concept well.Important Questions. Whereas, in this chapter, you will be studying about determinants up to order three only with real entries. Today, Math holds a very important place in almost all aspects of our daily life. Integrals Chapter 8: Concept of elementary row and column operations.
Vedantu solves this problem by bringing online home tuitions for the core science subjects at the comfort of one's home, especially to those who are preparing for their CBSE board exams and various competitive tests. Probability Conditional probability, multiplication theorem on probability. Students can log in and review the lectures later too as they are recorded as well during the live sessions for future reference.
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