With this chapter, we are helping students in solving problems associated with area functions, the primary fundamental theorem of Calculus along side the world under the curve. With RS Aggarwal Class 12 Solutions Maths Chapter 1 Relations, we are diving deep to elucidate the concepts and formulas of indefinite integrals. Also, students are going to be solving diverse questions which include questions starting from 1 mark to five marks.

The RS Aggarwal Class 12 Solutions Maths Chapter 1 Relations is written down by expert teachers who are within the education field for quite five years. As they supply you with the solution to those questions, you’ll determine that they also come up with their trick and tips which will assist you solve these questions during a short amount of your time .

In this chapter, students will study Area Under The Curve which represents the degree of measurability and separability. we will determine about the AOC by doing a particular integral between the given two points. On the opposite hand, to seek out out the world of the curve y = f(x) where x = a and x = b. Then a student must integrate y = f(x) while taking the bounds which are (a) and (b). Thus, one can determine the world of the curve by using the mixing method along side the bounds .

With RS Aggarwal Class 12 Solutions Maths Chapter 1 Relations, Utopper aims to offer students both the moral and teaching support they have to attain good marks. Thus, we came up with some insightful tips which can make learning easier for the scholars .

- First, once you solve a maths problem, always check out the question twice before you begin solving it.
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- Look at how our experts have solved the question in our RS Aggarwal Class 12 Chapter 1 Solution Pdf. undergo the solution and provides that question another try.

- If your answer is wrong, check the step-by-step solution that Utopper has shown in their Pdf. this may assist you understand where you were wrong and or what steps you would possibly have missed.
- In addition to the present , always attempt to solve the questions all by yourself. Don’t think that you simply have solved it once, so you get the essential idea of getting the solution .
- There are plenty of questions and their solutions for you to unravel . The more you solve in mathematics, the easier they become to unravel within the answer sheet.

**Q1. Describe Three Types of Relation Function?**

**Ans.** There are three main type of related functions, and that they are:

**Injective Function** – If a given element doesn’t map two different elements from an equivalent given domain to an equivalent element within the range it’s said to be one-to-one or injective sort of relation function.

**Surjective Function** – This function will only be correct if every member of set A will have a minimum of one matching B. Doesn’t matter, the matching members of set B are often quite one.

**Bijective Function** – Bijective function is claimed to be a function that has both Injective and Surjective properties within the same sets. One can say it to be an ideal pairing between the sets during which every single member of the set features a partner, and nobody is overlooked from the opposite set. As a result, it’s a one-to-one correspondence between the members of the sets.

**Q2. What’s a Function and What are the different types of Functions?**

**Ans.** A function are often defined because of the relation which is made between two sets. Every single element in set 1 is related to the weather present in set 2. In simple terms, if “f” may be a function between X and Y, every element within the set X is taken into account by the image of set Y. Given below, we’ve mentioned all the functions that students will learn in RS Aggarwal Class 12 Chapter 1 Solution.

One to at least one function.

One to several functions.

Onto functions.

One-to-one Correspondence.

**Q3. What are Binary Operations, and Where can we use them?**

**Ans.** We’ve basic maths operations, which are addition, subtraction, division, and multiplication, which may be easily performed on two given operands. additionally to the present, once we try to feature three numbers in each other, we go step by step, adding the first two and their answer with the third one.

Thus, all the essential mathematical operations you see in your textbook are referred to as a boolean operation. The word binary means two, now taking an example where a group A and elements present in it are x, y, and z. The results of the operations we do on x and y also will be a neighborhood of an equivalent set which may be a . thus, and binary operations are said to be the operations performed on a group A.

Chapter-3 Binary Operations Solutions

Chapter-4 Inverse Trigonometric Functions 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 Bayes’s Theorem and its Applications Solutions

Chapter-31 Probability Distribution Solutions

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