RS Aggarwal Solutions

RS Aggarwal Class 12 Solutions Chapter-1 Relation

RS Aggarwal Class 12 Solutions Chapter-1 Relation

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Class 12 RS Aggarwal Chapter-1 Relation Solutions - Free PDF Download

With this chapter, we are helping students in solving problems related to area functions, the first fundamental theorem of Calculus along with the area under the curve. With RS Aggarwal Solutions For Class 12 Maths Chapter 1, we are diving deep to explain the concepts and formulas of indefinite integrals. Also, students will be solving diverse questions which include questions ranging from 1 mark to 5 marks.

RS Aggarwal Class 12 Chapter 1 Solution Area of Curve

The RS Aggarwal Class 12 Chapter 1 Solution is written down by expert teachers who are in the education field for more than five years. As they provide you with the answer to these questions, you will find out that they also come up with tricks and tips that will help you solve these questions in a short amount of time.

In this chapter, students will learn about Area Under The Curve which represents the degree of measurability and separability. We can find out about the AOC by doing a definite integral between the given two points. On the other hand, to find out the area of the curve y = f(x) where x = a and x = b. Then a student needs to integrate y = f(x) while taking the limits which are (a) and (b). Thus, one can find out the area of the curve by using the integration method along with the limits.

Tips on How to prepare RS Aggarwal Class 12 Maths Chapter 1

With RS Aggarwal Solutions For Class 12 Maths Chapter 1, Vedantu aims to give students both the moral and teaching support they need to score good marks. Thus, we came up with some insightful tips which will make learning easier for the students.

First, when you solve a maths problem, always look at the question twice before you start solving it.
On the other hand, when the answer you have written doesn’t match the final solution written in the textbook, please don’t feel bad about it.
Look at how our experts have solved the question in our RS Aggarwal Class 12 1 Solution PDF. Go through the Chapter and give that question one more try.

Benefits of using RS Aggarwal Class 12 Chapter 1 Relation Solutions

The syllabus for Class 12 Mathematics for NCERT is extensive and therefore to help students make their preparations for exams easier, these solutions for Chapter 1 Relations RS Aggarwal are important.

If your answer is wrong, check the step-by-step solution that Vedantu has shown in their PDF. This will help you understand where you were wrong and or what steps you might have missed.
In addition to this, always try to solve the questions all by yourself. Don’t think that you have solved it once, so you get the basic idea of getting the answer.
There are tons of questions and their solutions for you to solve. The more you solve in mathematics, the more comfortable they become to solve in the answer sheet.

Conclusion

With RS Aggarwal Class 12 Chapter 1 solution Vedantu tries to help the students prepare for their upcoming exams which will decide their future. Every solution written in the RS Aggarwal Class 12 Maths Chapter 1 has been thoroughly solved by the experts at Vedantu, making it easier for students to learn the concepts of the topic with ease.

FAQs on RS Aggarwal Class 12 Solutions Chapter-1 Relation

1. What is the correct way to prove if a relation is reflexive, symmetric, or transitive as shown in the RS Aggarwal solutions?

To prove the type of relation for Chapter 1 exercises, you should follow a clear, step-by-step method. First, state the definition for each property you are testing. For example:

Reflexive: Check if (a, a) belongs to the relation R for every element 'a' in the set.
Symmetric: Assume (a, b) is in R, and then check if (b, a) is also in R.
Transitive: Assume (a, b) and (b, c) are in R, and then check if (a, c) is also in R.

The solutions demonstrate how to apply these conditions with examples from the textbook exercises.

2. How do the RS Aggarwal Class 12 Maths solutions for Chapter 1 help in preparing for board exams?

These solutions help you master the 'Relations' chapter by providing detailed, step-by-step answers for a wide variety of questions. They go beyond the NCERT textbook, offering more practice on tricky topics like equivalence relations and bijective functions. By following these methods, you learn the correct way to present your answers in exams to score full marks.

3. What are the main types of problems covered in RS Aggarwal's Chapter 1 on Relations?

The exercises in this chapter primarily focus on a few key areas. You will find problems that require you to:

Prove whether a given relation is reflexive, symmetric, or transitive.
Determine if a relation is an equivalence relation.
Identify if a function is one-one (injective), onto (surjective), or bijective.
Solve questions related to binary operations, including checking for commutativity and associativity.

4. What is a common mistake students make when checking if a function is 'onto' (surjective)?

A common mistake is simply stating that the function is onto without showing the mathematical proof. To correctly solve these problems, you must show that for any element 'y' in the codomain, there exists an element 'x' in the domain such that f(x) = y. The RS Aggarwal solutions guide you on how to express 'x' in terms of 'y' and prove that this 'x' belongs to the domain, which is a crucial step.

5. How should I approach solving questions on binary operations from this chapter?

Start by understanding the definition of the binary operation given in the problem (e.g., a * b = a + b - ab). Then, test each property systematically:

Closure: Check if a * b results in an element that is still within the given set.
Commutativity: Check if a * b is equal to b * a.
Associativity: Check if (a * b) * c is equal to a * (b * c).

The solutions demonstrate this structured approach for each problem, making it easy to follow.

6. Should I solve the RS Aggarwal problems myself before looking at these solutions?

Yes, absolutely. The best way to learn is to first attempt the problems on your own. This helps you identify what you know and where you get stuck. Afterwards, use these solutions to verify your method, learn a more efficient way to solve the problem, or understand the steps you missed. Using solutions just for copying will not help in the long run.

7. How are the problems on 'Relations and Functions' in RS Aggarwal different from those in the NCERT textbook?

While NCERT focuses on building a strong foundation of the core concepts for the CBSE syllabus, RS Aggarwal provides a much larger volume and variety of practice questions. The problems in RS Aggarwal can be more complex and help you prepare for different types of questions that might appear in exams, thereby improving your speed and problem-solving skills.