# RS Aggarwal Class 12 Solution

## Class 12 Mathematics RS Aggarwal Solutions PDF

#### RS Aggarwal Solutions Chapter-wise â€“ Free PDF Download

Here you can read the **RS Aggarwal Class 12 Solutions** for all chapters at website as well as Utopper App. Highschool is a stepping stone to college and a career, so the curriculum is changed from time to time to keep up with how quickly the world is changing. The focus of the **RS Aggarwal Class 12 Solutions** is on how to use the math ideas that are on the curriculum.

Class 12 is a big step in the life of a student. After Class 12, you’ll have to choose a different path for your life. If you do well on the Class 12 Board Exam, you can take the course you want at the college you want. **RS Aggarwal Class 12 Solutions** were made by subject experts at Utopper to give students accurate and precise study material that will make them ready for their exams.

The best book for you to start preparing for your math class is the one by **RS Aggarwal**. You can practise a lot of questions with this book, which will help you do well on your test. Class 12 is the board’s highest-level class, and its curriculum, along with that of Class 11, is part of your JEE advance or other entrance test. Most students like to study using the **NCERT book**, but you should really use the **RS Aggarwal book** of mathematics to study for your exam.Â

Utopper experts solutions to the RS Aggarwal class 12 Maths books have been written in clear, simple language. The study material is very detailed, and it has answers for all 33 chapters of the CBSE class 12 math curriculum. Probability, Determinants, Algebra of Matrices, Differentiation, Tangents and Normals, and Maxima and Minima are some of the important topics that have been given extra attention. Even better, the best solutions to the problems in the RS Aggarwal Class 12 textbook are easy to get from anywhere and free.

Click Here – To Buy/Purchase Online RS Aggarwal Classs 12 Book

**RS Aggarwal Class 12 Solutions Chapter Wise **–

**RS Aggarwal Class 12 Solutions Chapter Wise**

**Class 12 RS Aggarwal Chapter- 3 Binary Operations Solutions**

**Class 12 RS Aggarwal Chapter-4 Inverse Trigonometric Functions Solutions**

**RS Aggarwal Class 12 Chapter-5 Matrices Solutions**

**RS Aggarwal Class 12 Chapter-6 Determinants Solutions**

**Class 12 RS Aggarwal Chapter-7 Adjoint and Inverse of a Matrix Solutions**

**Class 12 RS Aggarwal Chapter-8 System of Linear Equations Solutions**

**Class 12 RS Aggarwal Chapter-9 Continuity and Differentiability Solutions**

**Class 12 RS Aggarwal Chapter-10 Differentiation Solutions**

**Class 12 RS Aggarwal Chapter-11 Applications of Derivatives Solutions**

**Class 12 RS Aggarwal Chapter-12 Indefinite Integral Solutions**

**Class 12 RS Aggarwal Chapter-13 Method of Integration Solutions**

**Class 12 RS Aggarwal Chapter-14 Some Special Integrals Solutions**

**Class 12 RS Aggarwal Chapter-15 Integration Using Partial Fractions**

**Class 12 RS Aggarwal Chapter-16 Definite Integrals Solutions**

**Class 12 RS Aggarwal Chapter-17 Area of Bounded Regions Solutions**

**Class 12 RS Aggarwal Chapter-18 Differential Equations and Their Formation**

**Class 12 RS Aggarwal Chapter-19 Differential Equations with Variable Separable**

**Class 12 RS Aggarwal Chapter-20 Homogeneous Differential Equations**

**Class 12 RS Aggarwal Chapter-21 Linear Differential Equations**

**Class 12 RS Aggarwal Chapter-22 Vectors and Their Properties**

**Class 12 RS Aggarwal Chapter-23 Scalar, or Dot, Product of Vectors**

**Class 12 RS Aggarwal Chapter-24 Cross, or Vector, Product of Vectors**

**Class 12 RS Aggarwal Chapter-25 Product of Three Vectors**

**Class 12 RS Aggarwal Chapter-26 Fundamental Concepts of 3-Dimensional Geometry**

**Class 12 RS Aggarwal Chapter-27 Straight Line in Space**

**Class 12 RS Aggarwal Chapter-28 The Plane Solutions**

**Class 12 RS Aggarwal Chapter-29 Probability Solutions**

**Class 12 RS Aggarwal Chapter-30 Bayesâ€™s Theorem and its Applications**

**Class 12 RS Aggarwal Chapter-31 Probability Distribution Solutions**

**Class 12 RS Aggarwal Chapter-32 Binomial Distribution Solutions**

**Class 12 RS Aggarwal Chapter-33 Linear Programming Solutions**

**Reference Book Solutions**

- RD Sharma Solution
- HC Verma Solution
- RS Aggarwal Solutions
- TS Grewal Solution
- DK Goel Solution
- TR Jain Solution
- Sandeep Garg Textbook Solution
- Micheal Vaz Solution
- S.S. Krotov Solution
- KC Sinha Solution
- Selina Solution
- Frank Solution
- ML Aggarwal Solution
- Lakhmir Singh and Manjit Kaur Solution
- Evergreen Science Solution
- Xam Idea Solution
- Oswaal Solution
- All in One Solution
- DC Pandey Solution
- Together With Solution
- I.E. Irodov Solution
- ISC Jayanti Sengupta – Oxford Solution
- Allied Publishers Solution
- Goyal Brothers Prakashan Solution
- Dorothy M . Noronhe Solution
- Thomas & Finnery Solution
- SL Loney Solution
- SB Mathur Solution
- P Bahadur Solution
- Narendra Awasthi Solution
- MS Chauhan Solution
- LA Sena Solution
- Integral Calculus Amit Agarwal Solution
- IA Maron Solution
- Hall & Knight Solution
- Cenegage G Tewani Solution
- OP Tandon Solution
- Merchant of Venice Solution
- The Tempest Workbook Solution
- Reverie Textbook Solution
- Echoes Textbook Solution

#### Some of the best things about our RS Aggarwal Class 12 Solutions

- To help students understand the concepts better, each question is answered in a precise manner.
- These answers are set up so that they show more than one way to answer a certain type of question.
- All of the questions in the RS Aggarwal Class 12 Solutions textbook are answered in full.
- Concepts are explained in a clear way by topic to help students learn the class 12 Maths curriculum and get good grades.
- The RS Aggarwal Class 12 solutions provided by utopper great for revision because you can quickly find, practise, and review important Maths topics.

To give you an entire and clear picture of the syllabus of Class 12, the chapter-wise categorization is given below:

- Chapter-1 Relation Solutions
- Chapter-2 Functions Solutions
- Chapter-3 Binary Operations Solutions
- Chapter-4 Inverse Trigonometric Functions Solutions
- Chapter-5 Matrices Solutions
- Chapter-6 Determinants Solutions
- Chapter-7 Adjoint and Inverse of a Matrix Solutions
- Chapter-8 System of Linear Equations Solutions
- Chapter-9 Continuity and Differentiability Solutions
- Chapter-10 Differentiation Solutions
- Chapter-11 Applications of Derivatives Solutions
- Chapter-12 Indefinite Integral Solutions
- Chapter-13 Method of Integration Solutions
- Chapter-14 Some Special Integrals Solutions
- Chapter-15 Integration Using Partial Fractions Solutions
- Chapter-16 Definite Integrals Solutions
- Chapter-17 Area of Bounded Regions Solutions
- Chapter-18 Differential Equations and Their Formation Solutions
- Chapter-19 Differential Equations with Variable Separable Solutions
- Chapter-20 Homogeneous Differential Equations Solutions
- Chapter-21 Linear Differential Equations Solutions
- Chapter-22 Vectors and Their Properties Solutions
- Chapter-23 Scalar, or Dot, Product of Vectors Solutions
- Chapter-24 Cross, or Vector, Product of Vectors Solutions
- Chapter-25 Product of Three Vectors Solutions
- Chapter-26 Fundamental Concepts of 3-Dimensional Geometry Solutions
- Chapter-27 Straight Line in Space Solutions
- Chapter-28 The Plane Solutions
- Chapter-29 Probability Solutions
- Chapter-30 Bayesâ€™s Theorem and its Applications Solutions
- Chapter-31 Probability Distribution Solutions
- Chapter-32 Binomial Distribution Solutions
- Chapter-33 Linear Programming Solutions

##### Chapter 1: Relation

This is the first chapter of RS Aggarwal Class 12 Solutions. It explains the idea of functions. Two sets are said to be related if they both have ordered pairs with two elements from both sets.

##### Chapter 2: Functions

This chapter 2 of RS Aggarwal Class 12 Solutions introduces the idea of functions, which are made up of two sets that are linked by the fact that for every item in set A, there is exactly one item in set B. In this chapter, we will learn about three types of functions: injective, bijective, and surjective. We will also learn about the Invertible function and how all the functions are put together.

##### Chapter 3: Binary Operations

This chapter 3 of RS Aggarwal Class 12 Solutions explains how to solve problems using binary operations. For instance, if we add two numbers together, we get one number. We get to learn that adding, taking away, and multiplying are all called “binary operations.” Even dividing numbers and figuring out their exponents are both binary operations. All kinds of binary operations are brought to light by the exercises in this chapter.

##### Chapter 4: Inverse trigonometric functions

In Chapter 4 of RS Aggarwal Class 12 Solutions “Inverse Trigonometric Functions,” you will learn how to use the opposite of the most important trigonometric functions, such as sine, cosine, tangent, cotangent, etc. The main goal of these functions is to find the angle between the trigonometric ratios, which are the opposite operations of the basic trigonometric functions. This is also known as the Arc Function or the Anti-trigonometric Function.

##### Chapter 5: Matrices

In this chapter 5 of RS Aggarwal Class 12 Solutions, students will learn what matrices are, how they are put together, and what their coefficients are. Matrixes are a very important part of the class 12 board exam. This chapter also talks about symmetric and skew-symmetric matrices, how they work, how to add, subtract, and multiply two matrices, and how to multiply matrices with a single number.

Aside from this, there are singular and non-singular matrices, as well as two matrices that are not zero, so the product of these two is 0.

##### Chapter 6: Determinants

A determinant is a set of numbers that are lined up in rows and columns and have the same value. After doing a lot of research on each of the ideas in this chapter, the experts at Utopper come up with solutions. Some of the most important ideas are explained in Chapter 6 of RS Aggarwal Class 12 Solutions.

These include the determinant of a square matrix, the properties of determinants, the value of a determinant, the sum of two determinants, and the effect of determinants on trigonometry.

##### Chapter 7: Adjoint and Inverse of a Matrix

In Chapter 7 of RS Aggarwal Class 12 Solutions, the adjoint of a matrix, invertible matrices, and some results about invertible matrices are talked about. The step-by-step explanations of the solutions help students get better at solving problems. Students who want to do well on their board exams can download the PDF solutions based on what they need. This chapter only has one activity based on the things it talks about.

##### Chapter 8: System of Linear Equations

This chapter 8 of RS Aggarwal Class 12 Solutions gives a brief explanation of how to use the matrix method to solve a set of linear equations. There are two kinds of equation systems that are talked about here: consistent systems and inconsistent systems. This chapter talks about how to solve problems using the matrix method and gives examples of how to do this. Only one exercise is in Chapter 8, and the answers were made by experienced teachers at Utopper.

##### Chapter 9: Continuity and Differentiability

Students who are having trouble with the exercise-by-exercise problems can use the PDF solutions put together by teachers at Utopper. Chapter 9 of RS Aggarwal Class 12 Solutions talks about real functions, some important functions, graphs, graphs of trigonometric functions, continuity, and differentiability. The PDF of solutions is an important study tool for students in Class 12 who want to do better in school.

##### Chapter 10: Differentiation

In the past, students have learned how to find the derivatives of algebraic and trigonometric functions. Here, they would learn about things like derivatives of some functions, derivatives of exponential and logarithmic functions, derivatives of inverse trigonometric functions, differentiation by trigonometric transformations, etc.

This chapter 10 of RS Aggarwal Class 12 Solutions explains how to tell the difference between different functions. The teachers at Utopper explain these ideas so that their students can do well on the board exam.

##### Chapter 11: Applications of Derivatives

In Chapter 11 of RS Aggarwal Class 12 Solutions, “Applications of Derivatives,” you will learn how to use the ideas of derivatives in the real world. For example, this chapter makes it easier and faster to figure out the rate of change of the flow of water, the rate of change of the surface area of a shape, etc.

##### Chapter 12: Indefinite Integrals

Integration is a very important part of the math subject Calculus. In Chapter 12 of RS Aggarwal Class 12 Solutions, “Indefinite Integrals,” we will learn how to integrate a function with no limits. You can use this idea to find the areas of plots by assuming that a narrow strip of the unit’s dimensions are the plot’s dimensions and adding these strips together to find the plot’s total area.

##### Chapter 13: Method of Integration

In Chapter 13 of RS Aggarwal Class 12 Solutions, “Method of Integration,” the idea of integrals is put to use. We need to know about differentiation, the other part of calculus, in order to work with integrals. The symbol shows that a function has been put together.

##### Chapter 14: Some Special Integrals

Integration was something we learned about in the last chapter. In Chapter 14 of RS Aggarwal Class 12 Solutions, “Some Special Integrals,” we will talk about some special integrals that are useful in many situations. This chapter talks about the Chain Rule, which tells us how to set up a given equation in a unique way. Also, some integrals are easy to solve because there is a specific way to do it.

This chapter explains all of those ways and the integrals that can be solved with them.

##### Chapter 15: Integration Using Partial Fraction

A partial fraction is a way to figure out how to solve a certain part of a fraction’s equation, which tells us how to solve the whole fraction’s equation. In Integral Calculus, partial fractions are used in a clear way, and the 15th chapter shows how to solve integrals that use partial fractions.

Integration is a very important part of the math subject Calculus. In Chapter 12 of RS Aggarwal Class 12 Solutions, “Indefinite Integrals,” we will learn how to integrate a function with no limits. You can use this idea to find the areas of plots by assuming that a narrow strip of the unit’s dimensions are the plot’s dimensions and adding these strips together to find the plot’s total area.

##### Chapter 16: Definite Integrals

We already know that integrals can be either “definite” or “indefinite.” Definite integrals are the parts of integration that have upper and lower limits. Definite integrals are used a lot in both the science and math fields. Integrals that can be defined are shown as. When a limit is given, these are used to add up functions.

##### Chapter 17: Area of Bounded Region

In Chapter 17 of RS Aggarwal Class 12 Solutions, “Area of Bounded Region,” we learn how to find the area of a shaded part of a curve, such as a parabola or hyperbola. The area under a curve is the topic of this chapter. To solve this chapter, we need to know how integration is used.

For example, if y = f(x) is a curve with values like x = a and x = b, we can find the area of the curve by integrating f(x) with the limits of (a) and (b). In this chapter, we use integrals that have a clear answer.

##### Chapter 18: Differential Equations and their Formation

Differential equations and how to solve them Differential equations are what Formation is all about. The degree is the highest power in an equation. The order of an equation is the order of the highest derivative of the equation being used. The experts at Utopper Experts go through each question in this chapter and solve it step by step.

##### Chapter 19: Differential Equations with Variable Separable

In this chapter 19 of RS Aggarwal Class 12 Solutions, variables like “a,” “b,” etc. are used with differentiation. We’ll also learn about the separable differential equation, which can be written as y’ = f(x)g (y). To solve the problems in Chapter 19, “Differential Equations with Variables That Can Be Separated,” you need to know how to separate variables.

##### Chapter 20: Homogeneous Differential Equation Solutions

If an equation is linear and its functions and derivatives are unknown, it is called a homogeneous linear differential equation. If f(x,y)dy = g(x,y)dx, then both f and g are homogeneous functions of the same degree of x and y. Without substitution, these can’t be solved.

##### Benefits of RS Aggarwal Class 12 Solutions

The advantages of RS Aggarwal Class 12 Solutions in PDF format.

RS Aggarwal Class 12 Solutions are prepared as per the CBSE guidelines during a comprehensive manner to offer you an in-depth understanding of the concepts. The PDF also will teach you ways to properly format answers within the examinations.

Practicing questions from the RS Aggarwal Class 12 Solutions PDF will cause you to comfortable in solving complex mathematical problems.

The students will be able to download all the RS Aggarwal Class 12 Solutions in order to assist them in their preparations for the Class 12 Board exams. The advantages of Class-12 Maths Rs Aggarwal Solutions in Pdf format for this is as follows:

- The solutions are written as per the CBSE guidelines to assist you score well in your examinations.
- These answers are prepared by the experts of Utopper who have more years of teaching experience.
- These solutions are written during a simple manner to maximize retention and improve understanding of the concepts.
- Solutions of every chapter are well categorized to enhance the convenience of use during your revisions.

## FAQ ( Frequently Asked Questions )

**1. What chapters does the Class 12 math book Contains ?**

Ans – RS Aggarwal is a very helpful book for students studying for board exams, JEE mains exams, or Advance exams. For a good score on the test, you should answer all of the questions. Here are a few chapters from RS Aggarwal’s Class 12 Maths book:

Chapter-1 Relation Solutions

Chapter-2 Functions Solutions

Chapter-3 Binary Operations Solutions

Chapter-4 Inverse Trigonometric Functions Solutions

Chapter-5 Matrices Solutions

Chapter-6 Determinants Solutions

Chapter-7 Adjoint and Inverse of a Matrix Solutions

Chapter-8 System of Linear Equations Solutions

Chapter-9 Continuity and Differentiability Solutions

Chapter-10 Differentiation Solutions

Chapter-11 Applications of Derivatives Solutions

Chapter-12 Indefinite Integral Solutions

Chapter-13 Method of Integration Solutions

Chapter-14 Some Special Integrals Solutions

Chapter-15 Integration Using Partial Fractions Solutions

Chapter-16 Definite Integrals Solutions

Chapter-17 Area of Bounded Regions Solutions

Chapter-18 Differential Equations and Their Formation Solutions

Chapter-19 Differential Equations with Variable Separable Solutions

Chapter-20 Homogeneous Differential Equations Solutions

Chapter-21 Linear Differential Equations Solutions

Chapter-22 Vectors and Their Properties Solutions

Chapter-23 Scalar, or Dot, Product of Vectors Solutions

Chapter-24 Cross, or Vector, Product of Vectors Solutions

Chapter-25 Product of Three Vectors Solutions

Chapter-26 Fundamental Concepts of 3-Dimensional Geometry Solutions

Chapter-27 Straight Line in Space Solutions

Chapter-28 The Plane Solutions

Chapter-29 Probability Solutions

Chapter-30 Bayesâ€™s Theorem and its Applications Solutions

Chapter-31 Probability Distribution Solutions

Chapter-32 Binomial Distribution Solutions

Chapter-33 Linear Programming Solutions

**2. How can RS Aggarwal Class 12 Solutions math help the students?**

Ans – The RS Aggarwal book solution is helpful for all students because the RS Aggarwal book is challenging and gives you detailed information on all of the topics on your syllabus. Not only that, but this book also has a tonne of practise problems that you need to solve to test your understanding of the ideas and topics you have learned.

You need the help of Solutions to figure out how to answer all of these questions every day, and you have to use these solutions if you want to get good grades and learn how to apply these topics.

**3. Is RS Aggarwal Class 12 math best sufficient book for the class 12 board exam?**

Ans – You can’t say it a best book for board exam but this most valuable for exam and their is other most important book for board exam. You can’t learn everything by doing math problems from NCERT books and practising them. For that, you need to look at other reference books, and RS Aggarwal has proven to be the best one for that part.

It is the best book for studying for any kind of test because all the information is laid out in a straight line. So it can help you answer a number of questions and get a perfect score on your test.

**4. Which book is better for getting ready for the class 12 board exam?**

Ans – Both RS Aggarwal and RD Sharma math books are very well-known and can help you prepare for the class 12 math board exam. But each of these books is for a different reason. The RS Aggarwal textbook is great for practising a lot of questions, which makes it a good tool for self-study.

Also, the questions in this book don’t come up more than once. This means you can practise on your own and only look up the answers when you need to.

**5. Where can I find latest edition RS Aggarwal solutions for class 12 math?**

Ans – On the official Utopper website, you can find the RS Aggarwal solutions for class 12 maths from Utopper Experts. The answers are grouped by chapters to make it easier for the students to find what they need. The answers can be found in pdf format.

**6. RD Sharma or RS Aggarwal, which is better for CBSE Class 12 Board?**

Ans – The RS Aggarwal book solution is helpful for all students because the RS Aggarwal book is challenging and gives you detailed information on all of the topics on your syllabus. Not only that, but this book also has a tonne of practise problems that you need to solve to test your understanding of the ideas and topics you have learned.

You need the help of Solutions to figure out how to answer all of these questions every day, and you have to use these solutions if you want to get good grades and learn how to apply these topics.

On the other hand, the questions in the RD Sharma textbook are more difficult, which makes it a good choice for above-average students. On the other hand, the questions in the RD Sharma textbook are more difficult, which makes it a good choice for above-average students. So, it’s up to you to decide which book you want to use to study for your math test, since both are reliable and very helpful.