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### NCERT Solutions for Class 12 - All Subjects

You can access NCERT Class 12 PDFs to crack desired score in your academics exams. Class 12th is one of the most important class in terms of  grades of every student’s life. It decides a bright career for students who is looking for higher studies. Students try to find out comprehensive study material for the preparation of exams. They feel very nervous if they did not get any good and efficient resources. Here our panel of experts have designed comprehensive NCERT Solutions for Class 12 to make learning better and enjoyable.  All the PDF solutions are available for all subjects, along with additional question banks to help students to crack good marks. Now visit our official webpage to clear your bulk of doubts and download the PDFs of  desired chapters.

#### NCERT Solutions for Class 12 Maths

The NCERT Solutions for Mathematics are well explained which are easily understandable. There are 13 chapters in class 12 Mathematics You can easily download chapter-wise NCERT solutions PDF  of Mathematics.

#### Chapter 1 – Relations and Functions

This chapter is very important in terms of board prospective and you must have to learn it properly. In this chapter, you will learn about relations, types of relation, such as empty, universal, etc. Next, you will learn about functions and types of functions. To understand the concepts, practice the exercise examples. Solve extra questions related to previous year’s papers and also solve sample papers, Model Test Papers to check you ability once you complete the chapter.

#### Chapter 2 – Inverse Trigonometric Functions

In this chapter, there are three exercises. You will learn about inverse trigonometric functions, their basic concepts, and their properties. You need to practice questions and solve sample papers. Be excellent throughout the chapter. You will have to  solve both short and long question answers from this chapter. So kindly prepare well by solving the questions.

#### Chapter 3 – Matrices

This chapter is an easiest chapter in comparison with all chapters. you can easily crack good score with well planned preparation. There are total eight exercises in  this particular chapter. While going through this chapter You will be able to about the types of matrices and do solve questions related to the matrics. You will be able to earn about the elementary operation and invertible matrices as well. Kindly Solve  examples first for your better understanding of the concepts and practice as many questions as you would like. After wrapping the all examples, kindly solve short and long questions. Use the NCERT solutions for Class 12 for solving the textbook questions along with extra questions.

#### Chapter 4 – Determinants

This chapter is also categorised as easiest chapter and you can solve questions from NCERT Solutions. There are total seven exercises in this chapter. Kindly take help the NCERT solutions to study properties of determinants, area of a triangle, applications, etc. Practice examples and exercise questions and be thorough. You need to prepare separate notes by solving the questions so that you can learn them for quick revisions. From this chapter only Long questions will be asked in the academics exams.

#### Chapter 5 – Continuity and Differentiability

This chapter is considered as good chapter and is very important for exam prospective and you must study it properly. There are total 13 exercises in this chapter. Kindly take help the solutions to learn Algebra. In this chapter, topics are  continuous functions, differentiability, and more. It is primary thing that you practice questions related to them. In these exercises, you will learn about second-order derivatives and the mean value theorem. Do practice examples and solve extra  questions to give good competition during your class tests and examinations.

#### Chapter 6 – Application of Derivatives

This chapter is also categorised as easiest chapter in the Class 12 Maths and you can solve questions from NCERT Solutions. In this chapter, there are eight exercises in which topic is rate of change of quantities and you will learn about the rate of change of distance, and velocity. Remember the formulas and make steps while solving his. Do practice examples and questions related to them. Further, You will be able to learn about increasing and decreasing functions. Do practice exercise questions and learn the concept properly. Use the NCERT solutions for additional support and reference. You can also take help from the 12th Business Maths Guide.

#### Chapter 7 – Integrals

There are ten exercises in this chapter. To crack good score  you have to practice on a regular basis and revise them thoroughly. Kindly take help by using NCERT Solutions for smooth learning and understanding of the concepts. You will learn the methods of integration exercise and how to apply them. One of the interesting that you have to focus more and more on to it. keep Practicing the formulas on a regular basis and solve as many questions as possible. Kindly go through the examples and use the NCERT solutions for any help while solving the question. You will also study about definite integrals and their properties for better results.

#### Chapter 8 – Application of Integrals

This chapter is bit small as compared to others, there are only 3 exercises. There are mainly, two important topics, area under simple curve and area between two curves. Do practice and learn the concept properly. Kindly solve exercise questions and use the NCERT solutions. From this chapter, you will get long questions in your board exams. The Class 12 Maths NCERT PDF is also available along with the solutions.

#### Chapter 9 – Differential Equations

There are five exercises in this chapter. You will have short and medium marks questions from this chapter. You will learn about differential equations and their basic concepts. You will also learn all the methods for solving first-order and first-degree differential equations. Practice examples and solve exercise questions. Kindly Solve both exercise questions and additional questions from the NCERT solutions.

#### Chapter 10 – Vector Algebra

This chapter is very interesting and very easy to learn. There are total 6 exercises in this chapter. Types of vectors, in this exercise, you will learn about the types of vectors and their properties. First solve all examples to understand properly.  You will learn how to add vectors in this exercise related to addition of vectors. Do Practice the exercise examples and questions. Further, you will learn how to multiply a vector by a scalar. Practice questions using the NCERT solutions and understand the topics and concepts properly.

#### Chapter 11 – Three-Dimensional Geometry

There are total ten exercises in this chapter. The three-dimensional geometry NCERT solutions are solved by our panel of experts and have explained the chapter in easy way. Equation of line space, this exercise is very important to learn the concept and practice the exercise questions using the NCERT solutions. You will learn about the plane, angle between two lines, etc. You will also learn about the theorems. Solve additional questions from question banks, sample papers, etc.

#### Chapter 12 – Linear Programming

There are three exercises in this chapter. Learn about linear programming problems and different types of linear programming problems. Practice examples and solve the exercise questions using the NCERT solutions. From this chapter four marks questions can be asked.

#### Chapter 13 – Probability

This is the last chapter of Class 12 Maths Syllabus. There are seven exercises in this chapter. in this chapter You will be able to learn conditional probability, multiplication theorem, Bayes’ theorem, random variables, etc. Do Practice examples and solve the exercise questions using the NCERT solutions. Solve sample papers and mock tests once you complete your syllabus. Go for revision using the NCERT Solutions and the important topics and questions.

### NCERT Solutions for Class 12 Physics

In Physics, there are 15 chapters. The NCERT solutions for physics provide well-explained solutions for all the chapters. You can also download NCERT solutions PDF chapter-wise. Learn and practice all the chapters thoroughly.

Some of the important chapters that you can learn using the NCERT solutions are as follows:

#### Chapter 1 – Electric Charges and Fields

In this chapter, there are 15 exercises. This chapter is very important and you have to learn and practice it properly. Some of the salient topics that you will cover in this chapter are Coulomb’s law, electric field, flux, Gauss’s law, electric field lines, etc. Use the NCERT Solutions for a proper understanding of the concepts. Solve the exercise questions also by using the solutions as the questions are explained simply and they are easy to understand and learn.

#### Chapter 2 – Current Electricity

This is another important chapter. There are 16 exercises in this chapter. You will learn about topics such as Ohm’s law, limitations of Ohm’s law, electrical energy and power, resistivity, etc. Learn all the concepts and practice. Next, you will learn about combinations of resistors, learn the method and solve examples for better understanding. Solve questions related to it. You will also learn about Kirchoff’s law, and types of bridges such as the Wheatstone bridge and meter bridge. Use the NCERT solutions for practising and learning all the exercises as they are explained properly with additional examples.

#### Chapter 3 – Moving Charges and Magnetism

In this chapter, there are 11 exercises. You will learn about magnetic force, the motion of the magnetic field, etc. Use the NCERT solutions to learn this chapter. The solutions are designed to help you understand the concepts and questions better and in a simple way. You will also learn Ampere’s circuital law, solenoid, and toroid, etc.

#### Chapter 4 – Electromagnetic Induction

In this chapter, there are ten exercises. You will learn about magnetic flux, Faraday’s law of induction, Lenz’s law, Eddy current, etc. Practice all the derivations and use the solutions to learn and solve the exercise questions. You will also learn about inductance and AC generators.

#### Chapter 5 – Alternating Current

This is another important chapter and you have to learn and practice this chapter properly. There are nine exercises in this chapter. You will learn about alternating current, AC voltage applied to an inductor, capacitor, LCR circuit, etc. Learn the concept and methods properly by using the solutions and solve questions related to each topic. The last topic is transformers, in this exercise, you will learn about transformers, their formulas, and applications.

#### Chapter 6 – Wave Optics

In this chapter, there are seven exercises. Learn about Huygens principle, refraction, and reflection of a plane wave, diffraction, polarization, etc. Practice all the topics and solve exercise questions and examples. Use the NCERT solutions as a reference.

#### Chapter 7 – Atoms

In this chapter, there are six exercises. You will learn about alpha particle scattering and Rutherford’s nuclear model of the atom. Learn and understand the concept properly. These questions can be asked for six marks. This chapter is fairly easy and you can complete it easily with the help of the solutions.

#### Chapter 8 -Nuclei

In this chapter, there are 7 exercises. You will learn about atomic masses, size of nucleus, nuclear force, radioactivity, etc. Practice and learn all the exercise questions using the NCERT physics solutions.

### NCERT Solutions for Class 12 Chemistry

The list of chapters in class 12 chemistry is given below.

#### Chapter 1 – Solid State

In this chapter, students will study about general characteristics of solid-state, amorphous and crystalline solids, crystal lattice and unit cell, various types of voids and close-packed structures.

#### Chapter 2 – Solutions

In this chapter, the types of solutions, their formation and their properties are discussed in detail. Other major topics are abnormal molar masses, Raoult’s law, the vapour pressure of liquid solutions, the concentration of solutions, colligative properties, etc.

#### Chapter 3 – Electrochemistry

The important topics of this chapter are the electrochemical cell, the galvanic cell and the electrolytic cell, the standard potential of the cell, Gibbs energy of cell reaction and other applications of electrochemistry.

#### Chapter 4 – Chemical Kinetics

The chapter deals with the chemical kinetics and rate of reactions.

#### Chapter 6 – General Principles and Processes of Isolation of Elements

Students will get to know about the thermodynamic and electrochemical principles of metallurgy.

#### Chapter 7 – p-Block Elements

The chapter is about p-block elements of the periodic table.

#### Chapter 8 – d and f Block Elements

The chapter is about d and f-block elements of the periodic table.

#### Chapter 9 – Coordination Compounds

The major topics of this chapter are Werner’s theory of coordination compounds, Isomerism, bonding in coordination compounds etc.

#### Chapter 10 – Haloalkanes and Haloarenes

The chapter contains information on the preparation, properties and reactions of haloalkanes and haloarenes.

#### Chapter 11 – Alcohols, Phenols and Ethers

The chapter explains the preparation, properties and reactions of alcohol, phenols and ethers.

#### Chapter 12 – Aldehydes, Ketones and Carboxylic Acids

Chapter 12 is related to the preparation, properties and chemical reactions of aldehydes, ketones and carboxylic acids. Students will also learn about the factors that affect carboxylic acids’ acidity and their reactions.

#### Chapter 13 – Organic Compounds Containing Nitrogen

Chapter 13 is related to the preparation, properties and chemical reactions of organic compounds containing nitrogen i.e., amines.

#### Chapter 14 – Biomolecules

In this chapter, biomolecules such as proteins, carbohydrates and nucleic acids etc. are discussed in detail. Students will also learn about the difference between RNA and DNA, and the role of biomolecules in the biosystem.

#### Chapter 15 – Polymers

In this chapter, students will be able to learn about polymers, types of polymers, and polymerisation processes. The preparation of synthetic polymers and their properties are also discussed in this chapter.

#### Chapter 16 – Chemistry in Everyday Life

An important chapter to know the application of chemistry in everyday life. After going through this chapter, students will be able to learn the term ‘chemotherapy’, the classification of drugs and their function in the body. Students will also know about food preservatives and artificial sweetening agents.

CBSE CLASS 12 STUDY MATERIALS

Revision Notes for Class 12

Important Questions for Class 12

CBSE Previous Year Question Paper for Class 12

CBSE Sample Paper for Class 12

NCERT Exemplar Question for Class 12

Class 12 Maths Formula

CBSE Syllabus for Class 12