# NCERT Class 12th Maths Notes Chapter-wise - Download Free PDF

**NCERT Class 12 Maths chapter-**wise notes discuss the important formulas of the chapters covered in the class 12 NCERT book. Class 12 Maths chapters notes contain systematic explanations of topics using examples and exercises. The CBSE Class 12 Maths chapters notes include FAQ’s or frequently asked questions about the chapter. These concepts can also be downloaded from class 12 Maths chapters notes pdf download and can score maximum marks in their board examination.

**Also, students can refer,**

## Subject-wise NCERT notes

## Chapter-wise NCERT notes

**NCERT Notes Class 12 Maths Chapter 1 Relations and functions**

Class 12 Maths chapter 1 notes contains the following topics: Relations, types of relations namely empty, universal, reflexive, symmetric, transitive, equivalence relations, equivalence classes, functions, types of functions like one-one, onto, one-many, many-many functions, composition of functions, invertible functions, binary operation, commutative binary operation, associative binary operation, identity element, invertible element and operation table with standard formulas and rules provided with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 2 Inverse Trigonometric functions**

Class 12 Maths chapter 2 notes contains the following topics: definition of inverse trigonometric functions, standard domain and range of trigonometric values, properties of inverse trigonometric functions, standard formulas and substitutions along with few important points to remember provided with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 3 Matrices**

Class 12 Maths chapter 3 notes contains the following topics: matrix definition, order of matrix, types of matrices like row, column, square, diagonal, scalar, unit/identity, zero/null matrices, equality of matrices, operations on matrices, addition and subtraction of matrices, properties of addition matrices, multiplication matrices and their properties with standard formulas and rules provided with solved examples along with exercises that helps students to get perfection in the topics. This class 12th Maths chapter wise notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 4 Determinants**

Class 12 Maths chapter 4 notes contains the following topics: definition of determinants, value of determinant, finding minor and cofactor of a matrix, singular and non singular matrices, adjoint of a matrix and their properties, properties of determinants, inverse of a matrix and applications of determinants and matrices in that path, properties of inverse matrix, linear solution, consistent, inconsistent solutions with standard formulas and rules provided with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 5 Continuity and differentiability**

Class 12 Maths chapter 5 notes contains the following topics: Continuity, differentiability, exponential and logarithmic function, Logarithmic differentiation, second order derivative, Mean value theorem with standard formulas and rules provided with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 6 Application of derivatives**

Class 12 Maths chapter 6 notes contains the following topics: finding the derivatives of the equations, rate of change of quantities, Increasing and decreasing functions, monotonic functions, Tangents and normal, equations of tangents and normals, Approximations, Maxima and minima, absolute maxima and minima values, local maxima and minima with standard formulas and rules provided with solved examples along with exercises that helps students to get perfection in the topics. This NCERT class 12 Maths chapter wise notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 7 Integrals**

Class 12 Maths chapter 7 notes contains the following topics: definition of integrals, properties of indefinite integrals, standard formulas for the integrals, integration using trigonometric identities, integration of substitution, integration by parts, integration by partial fractions with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 8 Applications of integrals**

Class 12 Maths chapter 8 notes contains the following topics: area under single curve, area under two curves, area of the region bounded by a curve and a line with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 9 Differential equations**

Class 12 Maths chapter 9 notes contains the following topics: definition and equation of differential equations, ordinary differential equations, order and degree of a differential equations, formation of differential equations, solution of differential equations, general and particular solutions, to solve first order differential equations using variables separable methods, homogeneous differential equations, solutions of homogeneous differential equations, linear differential equations with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 10 Vector Algebra**

Class 12 Maths chapter 10 notes contains the following topics: vectors, representation, position vector, magnitude, types of vectors like null, collinear, unit, coinitial, equal, negative vectors, addition vectors, direction cosines, addition vectors, properties with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 11 Three Dimensional Geometry**

Class 12 Maths chapter 11 notes contains the following topics: direction cosines of a line, direction ratios of a line, straight line, equation of line passing through two given points using vector form and cartesian form, angle between two lines, conditions for parallel and perpendicular lines, shortest distance between two lines, shortest distance between two parallel lines, distance between two points, midpoint, plane, equation of plane in vector and cartesian form, equation of line passing through three non-collinear points, equation of plane in intercept form, equation of plane passing through intersecting points, coplanarity, angle between two planes, distance of point with plane, angle between line and plane with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 12 Linear Programming**

Class 12 Maths chapter 12 notes contains the following topics: introduction to linear programming, terms that are related to linear programming like objective function, constraints, optimal value, optimisation, feasible region, feasible solution, bounded and unbounded regions, fundamental theorems, corner point method with solved examples along with exercises that helps students to get perfection in the topics. This NCERT notes for class 12 Maths chapters is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams.

**NCERT Notes Class 12 Maths Chapter 13 Probability**

Class 12 Maths chapter 13 notes contains the following topics: event, equally likely, mutually exclusive events, exhaustive events, complement of an event, probability of an event, properties, conditional probability and its properties, multiplication theorem, independent events, Bayes theorem, random variable, mean, variance, standard formulas, Bernoulli theorem, binomial distribution, mean and variance of binomial distribution with solved examples along with exercises that helps students to get perfection in the topics. This Maths class 12 notes is made in such a way that it covers all the important concepts and points that are important for student to gain maximum marks in their board and other competitive exams. These topics can be studied from class 12 Maths chapter wise notes pdf download.

**Significance of NCERT class 12 Maths chapters notes**

Ncert class 12 maths chapters notes helps every student preparing for board of intermediate and also competitive exams like Mains, advance, eamcet, VIT, BITSAT and many other exams as well. Class 12 Maths chapter-wise notes provide detailed notes of all chapters including the problems and theory that helps students to deal with their questions in the exams. Class 12 Maths chapters notes pdf download can be very helpful in reading through the paper.

Subject Wise NCERT Solution

NCERT Solution Class 12 Physics | NCERT Solution Class 12 Chemistry |

NCERT Solution Class 12 Mathematics | NCERT Solution Class 12 Biology |

Subject Wise NCERT Exemplar

NCERT Exemplar Class 12 Physics | NCERT Exemplar Class 12 Chemistry |

NCERT Exemplar Class 12 Mathematics | NCERT Exemplar Class 12 Biology |

## Frequently Asked Question (FAQs) - NCERT Class 12th Maths Notes Chapter-wise - Download Free PDF

**Question: **How many chapters do we have in NCERT Class 12 Maths chapter-wise notes?

**Answer: **

There are a total of 13 chapters in class 12 NCERT Maths notes.

**Question: **What are the resources that I should follow for Class 12 Maths chapter-wise notes so that I can gain maximum marks ?

**Answer: **

We have a lot of resources that are available these days on the internet but always following government textbooks is a great idea and going through every nook and corner of Ncert textbook is more than enough to score distinction.

Link for NCERT textbook: ncert.nic.in/

**Question: **How will these notes help me in my examination point of view?

**Answer: **

The notes written by subject matter experts are designed and made in such a way that it covers all the topics from the NCERT book and helps save time by gaining all the important points in a very short span.

These notes help you to gain maximum marks in board examinations.

**Question: **Are these NCERT Class 12 Maths chapter-wise notes enough for competitive exams as well?

**Answer: **

Yes,these notes act like a base to any examination but remember competitive exams require an advanced thinking keeping basics as their aim and expanding their thinking ability. But alone these notes cannot help you to score in competitive exams but for sure will be very important to act as a base.

**Question: **Which chapters are to be given more importance in Class 12 Maths chapter-wise notes?

**Answer: **

Weightage of each chapter is almost equal in board exams.So all chapters are equally important. Going through all the chapters and concepts will help you score maximum marks in your exams.

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