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# NCERT Solutions For CBSE Class 12 Maths

Hi students, welcome to Amans Maths Blogs (AMB). On this page, you will get the NCERT Solutions For CBSE Class 12 Maths PDF. You can download on simply one click. These solutions are also helpful for those students who are studying in class 12 of any state board like UP Board, Bihar Board etc affiliated schools.

## NCERT Solutions For CBSE Class 12 Maths Chapters

There are following chapters in NCERT CBSE Class 12 Maths Book

## Chapter 1: Relation and Function

In this chapter, we study about the definition of relation, types of relations, definition of function, types of functions, composition of functions, inverse of functions and binary operations. Click here to get NCERT CBSE Class 12 Maths Chapter 1 Exercises and Solutions.

## Chapter 2: Inverse Trigonometry Functions

In this chapter, we study about the basic concepts of trigonometry, conditions to be inverse trigonometric functions, domain and range of the function, properties of the inverse functions. NCERT CBSE Class 12 Maths Chapter 2 Exercises and Solutions.

## Chapter 3: Matrices

In this chapter, we study about the introduction of matrices, types of matrices , equality of matrices, mathematical operations of matrices, properties of addition of addition of matrices, properties of scalar multiplication of matrices, multiplication of matrices, properties of multiplication of matrices, transpose of matrices, properties of transpose of matrices, symmetric and skew-symmetric matrices, transformation of matrices, invertible of matrices.

## Chapter 4: Determinants

In this chapter, we study about the introduction of determinants, expansion of determinants, properties of determinants, area of triangle in determinants form, minors and cofactors of matries, adjoint and inverse of matrices, singular and non-singular of matrices, application of matrices and determinants.

## Chapter 5: Continuity and Differentiablity

In this chapter, we study about the introduction of continuity, method of checking of a function to be continuous, algebra of continuous function, introduction of differentiability, method of checking of a function to be differentiability, derivative of composite function, chain rule of differentiation, derivative of implicit function, derivative of inverse trigonometrical function, exponential function and its properties and graphs, differentiation of exponential function, differentiation of logarithmic function, derivative of function in parametric forms, second order derivative, Rolle’s theorem, mean value theorem.

## Chapter 6: Application of Derivative

In this chapter, we study about the rate of change of quantities, increasing and decreasing functions, tangents and normals, approximations, maxima and minima, first order derivative test, second order derivative test, maxima and minima derivative test.

## Chapter 7: Integration

In this chapter, we study about the integrals as the inverse of differentiation, integration formula, geometric meaning of indefinite integrals, properties of indefinite integrals, comparison between differentiation and integration, method of integration by substitution, method of integration by partial fraction, method of integration by parts, integration by using trigonometrical identities, integration of some particular functions, introduction of definite integration, definite integration as limit of a sum, area function, of definite integration, some important properties of definite integrals.

## Chapter 8: Application of Integrals

In this chapter, we study about the area under simple curve, area of region bounded by a curve and a line, area between two curves.

## Chapter 8: Application of Integrals

In this chapter, we study about the area under simple curve, area of region bounded by a curve and a line, area between two curves.

## Chapter 9: Differential Equations

In this chapter, we study about the introduction to differential equations, order of differential equation, degree of differential equation, general and particular solution of differential equation, formation of differential equations, method of solving first order and first degree differential equation, homogeneous equation of differential equation, linear differential equations.

## Chapter 10: Vector Algebra

In this chapter, we study about the introduction scalar and vector, direction cosines, types of vectors, addition of vectors subtraction of vectors, multiplication of vector by scalar, components of vectors, sections formula, scalar product of two vectors and its properties, vectors product of two vectors and its properties, projection of vector on a line, area of parallelogram.

## Chapter 10: Vector Algebra

In this chapter, we study about the introduction scalar and vector, direction cosines, types of vectors, addition of vectors subtraction of vectors, multiplication of vector by scalar, components of vectors, sections formula, scalar product of two vectors and its properties, vectors product of two vectors and its properties, projection of vector on a line, area of parallelogram.

## Chapter 11: Three Dimensional (3D) Geometry

In this chapter, we study about the direction cosine and direction ratio of a line, relation between direction cosine of a line, direction cosine of line passing through two points, equation of line in 3D through a given point and given to a parallel vector, equation of line in 3D through two given points, angle between two lines, shortest distance between two lines, distance between two skew lines, distance between parallel lines, equation of plane in normal form, equation of a plane perpendicular to a given vector, equation of plane passing through three given points, intercept form of equation of a line, equation of plane passing through two given planes, angle between two planes, distance of a point from a plane, angle between a line and plane.

## Chapter 12: Linear Programming

In this chapter, we study about the introduction to linear programming and mathematical formulation, mathematical formulation of given problems, objective function and constraints, graphical solution of linear programming, types of linear programming problems.

## Chapter 13: Probability

In this chapter, we study about the basic of probability, conditional probability and its properties, multiplication theorem on probability, independent events, bays theorem, total probability, random variables and probability distribution, probability distribution of random variables, mean of random variables, Bernoulli trials and binomial distribution.

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