NCERT Solutions For Class 12 Maths Chapter wise
STUDYIT providing you a simple chapter wise solution for class 12 maths, which was made by our Top Subject Experts. If you study NCERT solutions Class 12 maths, you will surely understand it easily and will be able to do well in the exam. NCERT solutions for Class 12 Maths all Exercises Including Miscellaneous are in PDF with NCERT Solutions PDF free download.
All the solutions that we are providing you will fully support your IITs and other technical exams along with the board exams. Without reading the NCERT Books for Class 12 you cannot Crack any competitive exam preparation, and the NCERT Books for Class 12 is taught in all coaching and educational institutions. Because all the concepts in the NCERT Books are given in very precise and simple language and the students who Crack the competitive exams continue to prepare themselves by making NCERT Books for Class 12 Study Materials his/her Base.
NCERT Solutions for Maths Class 12 PDF
NCERT Maths Class 12 Solutions are given below for all chapter. Select chapter number to view Class 12 Maths NCERT chapter wise solutions.
- Chapter 1 Relations and Functions
- Chapter 2 Inverse Trigonometric Functions
- Chapter 3 Matrices
- Chapter 4 Determinants
- Chapter 5 Continuity and Differentiability
- Chapter 6 Application of Derivatives
- Chapter 7 Integrals
- Chapter 8 Application of Integrals
- Chapter 9 Differential Equations
- Chapter 10 Vector Algebra
- Chapter 11 Three Dimensional Geometry
- Chapter 12 Linear Programming
- Chapter 13 Probability
Breif Introduction of NCERT Class 12 Mathematics
Chapter 1 Relations and Functions
Class 12 Maths Chapter 1 Relations and Functions, we will study different types of Realations and Functions, Composition of Functions, invertible functions and binary operations.The notion of a functions along with some special functions like Identity function, rational function, modulus function, constant function, polynomial function, signum function etc. along with their graps have been given in Class 11th.
Chapter 2 Inverse Trigonometric Functions
Chapter 2, Inverse Trigonometric Functions of NCERT Class 12 Maths, gives an account of various topics such as the remarks based on basic concepts of inverse trigonometric functions, properties of inverse trigonometric functions and miscellaneous examples. These concepts are explained very well through examples. Solutions to the exercises from the chapter can be accessed from here.
In this, Chapter 3 of NCERT textbook, we shall see the definition of a matrix, type of matrices, equality of matrices, operations on matrices such as the addition and multiplication of a matrix by a scalar, properties of matrix addition, scalar multiplication, multiplication of matrices, properties of multiplication of matrices, transpose of a matrix, properties of the transpose of the matrix, symmetric and skew-symmetric matrices, elementary operation or transformations of a matrix, the inverse of a matrix by elementary operations and miscellaneous examples.
Chapter 4 Determinants
Chapter 4 of NCERT Solutions Maths discusses the topic of determinants. Students will get to learn about the definition and meaning of determinants, remarks based on order of determinants, properties of determinants, finding area of triangle using determinants, minors and cofactors of determinants, adjoint of a matrix, inverse of matrix, applications of determinants and matrices and miscellaneous examples.
Chapter 5 Continuity and Differentiation
Chapter 5 of the NCERT textbook begins with a definition of continuity. Students are given examples of continuity, algebra of continuous function, definition of variance, definition and meaning, derivation of composite functions, derivative of implicit functions, inverse derivative of trigonometric functions, exponential and logarithmic functions, logarithmic discrimination, parametric derivatives of parametric functions. Forms from, second order derivative, value theorem. In addition to this, students can find exercises explaining these concepts well with solutions.
Chapter 6 Applications of Derivatives
Chapter 6 of NCERT textbooks, provides definition of derivatives, rate of change of quantities, increasing and decreasing functions, tangents and normals, approximations, maxima and minima, first derivative test, maximum and minimum values of a function in a closed interval and miscellaneous examples. Here, students can find the exercises explaining these concepts properly.
Chapter 7 Integrals
In Chapter 7, Integrals, we shall see the definition of indefinite integral, integration as an inverse process of differentiation, geometrical interpretation of indefinite integral, properties of indefinite integral, comparison between differentiation and integration, methods of integration such as integration by substitution, integration using partial fractions, integration by parts, integration using trigonometric identities, integration of some integral functions, definition and meaning of definite integrals, definite integral as the limit of a sum, fundamental theorem of calculus, evaluation of definite integrals by substitution, some properties of definite integrals and miscellaneous examples.
NCERT Solutions for Class 12 Maths Application of Integrals
This chapter deals with the applications of integrals in calculating areas under simple curve, lines, parabolas and ellipses. The two exercises provide enough questions for practicing the area calculations.
NCERT Solutions for Class 12 Maths Differential Equations
This chapter introduces the concept of Differential equations, the general and particular solutions, and the order and degree of an equation. This also talks about the applications of differential equations in the six exercises.
NCERT Solutions for Class 12 Maths Vector Equations
This chapter deals with the vector quantities, that is, the quantities with both magnitude and direction. The Vector algebra summarises the rules of addition of vector quantities, and other important properties. Vector Algebra plays a big role in Physics.
Class 12 Maths Three Dimensional Geometry
This chapter utilises vectors to calculate the distance between lines, a point and a line, and a line and a plane, along with the angles between them.It also introduces the concept of direction cosines
Class 12 Maths Linear Programming
This chapter explores the concept of linear programming problems, and their solutions using graphical method only.
Class 12 Maths Probability
This chapter deals with the concept of Conditional Probability and the encounters of the same in our daily lives. This explores Bayes’ Theorem, the multiplication rule, and the independence of events. This chapter is best understood by practicing as many questions as possible.
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