#relations and functions

[quietimtryingtostudy]

(This one's kinda concept-based)

2. A relation in a set A is called _________ relation, if each element of A is related to itself.

a) reflexive

b) non-reflexive

c) identity

d) none of these

(see you in the next question weeeeeeeeeeeeeeee✨👻)

I'm gonna go with (d) none of these 'cause based on the knowledge that I acquired by reading the relations part for the first time, an hour ago, I believe such a relation is called a Universal relation.

Hehe <3

[class12maths]

Relations and Functions: Class 12 Maths Video Tutorials — Mathyug

Are you a Class 12 student gearing up for your Maths exams? Do the concepts of relations and functions seem daunting? Fret not! Ashish Sir from MathYug has designed an exceptional self-study course that covers everything you need to master these topics. This comprehensive course includes video tutorials, detailed notes, and assignments that ensure thorough understanding and practice.

What You’ll Learn

Ashish Sir’s course on MathYug is meticulously structured to provide a deep understanding of relations and functions, a crucial component of Class 12 Mathematics. The course is divided into two main parts:

1. Relations

In this segment, you will explore various types of relations. Here’s a brief overview of what you’ll learn:

Empty Relations: Understanding the concept of relations where no element of a set is related to any element of another set.

Universal Relations: Learning about relations where every element of a set is related to every element of another set.

Trivial Relations: Delving into the simplest form of relations that only relate to the identical pairs.

Reflexive Relations: Understanding relations where every element is related to itself.

Symmetric Relations: Exploring relations where if one element is related to another, the second element is also related to the first.

Transitive Relations: Learning about relations where if one element is related to a second, and the second to a third, then the first is related to the third.

Equivalence Relations: Discovering relations that are reflexive, symmetric, and transitive.

Equivalence Classes: Understanding the partition of a set into disjoint subsets where each subset is an equivalence class.

To ensure comprehensive understanding, the course provides practice questions from diverse sources such as NCERT Textbook exercises, NCERT Examples, Board’s Question Bank, RD Sharma, and NCERT Exemplar. You can download the PDF of assignments within the course for additional practice.

2. Functions

The second part of the course focuses on functions, including:

One to One and Onto Functions: Understanding functions where each element of one set is paired with a unique element of another set, and functions that map elements from one set onto every element of another set.

Composite Functions: Learning how to combine two functions to form a new function.

Inverse of a Function: Exploring how to find the function that reverses the effect of the original function.

Similar to the relations segment, this part also includes practice questions from various reputable sources. The assignments are designed to reinforce your understanding and are available for download within the course.

Sample Videos

To give you a glimpse of the quality of instruction, Ashish Sir has shared sample videos covering some of these essential topics. Watching these will help you understand his teaching methodology and the depth of content provided.

If you’re aiming to excel in your Class 12 Maths exams, Ashish Sir’s course on MathYug is your go-to resource. With detailed video tutorials, comprehensive notes, and extensive assignments, you will gain a solid understanding of relations and functions. Start your journey towards mastering these crucial topics today!

For more information and to access the course, visit MathYug. Happy learning!

[ashishkumarletslearn]

Sample Videos of Class 11 Maths Tutorials by Ashish Sir on MathYug

In this blog, we will explore some sample videos that showcase the quality, depth, and teaching methodology employed by Ashish Sir in his MathYug tutorials.

1. Sets

2. Relations and Functions

3. Permutations and Combinations

4. Complex Numbers

5. Straight Lines

6. Sequences and Series

7. Limits and Derivatives

8. Conic Sections

9. Principle of Mathematical Induction

Join MathYug Today!

MathYug, under the expert guidance of Ashish Sir, offers a transformative learning experience for Class 11 students. The sample videos provide a glimpse into the high-quality content and teaching methods that make MathYug a preferred choice for many. Whether you are struggling with a particular topic or looking to excel in your studies, Ashish Sir’s video tutorials are an invaluable resource.

To explore more and start your journey towards mastering Class 11 Maths, visit MathYug and dive into the world of mathematics with confidence and enthusiasm!

Explore the complete library of tutorials and start learning today!

[mathyug]

Unlock a deeper understanding of Reflexive, Symmetric, Transitive, and Equivalence Relations, and master Exercise 1.1 in Relations and Functions Class 12 Maths with expert instructor Ashish Sir on MathYug.Explore additional video lectures on our website: https://mathyug.com/class-12-maths

[edusquaremaths]

Q5 Exercise1.1 I Class 12 Maths NCERT Chapter 1 Relations and Functions | NCERT solutions

NCERT Class 12Chapter: Relations and FunctionsExercise 1.1 Question 5: Check whether the relation R in R defined by R = {(a, b) : a ≤ b3} is reflexive, symmetric or transitive.

[lexosaurus]

special shoutout to all the 50+ year old men who record 2min basic tutorial videos for simple tasks with their shaky cell phone vertical camera and upload them to youtube to get like 20 views. y'all are the true backbone of society

[ncertupdates]

Relations and Functions Class 12 Notes

Relations and Functions Class 12 Notes PDF

In class 12, students study Relations and Functions, which is a crucial topic in mathematics. Mathematics is a subject that involves a lot of concepts, theories, and formulas. Keeping in mind all those things for a longer period of time could be a challenge; however, Relations and Functions Class 12 Notes PDF helps in retaining those things for a certain period of time. 

The Sets Relations and Functions class 12 notes can be prepared by students or they can refer to the revision note that is prepared by Selfstudys subject experts. The Relations and Functions class 12 notes prepared by subject experts are easy to comprehend and information is distributed among the PDF in chunk size.

Thus, in this blog, I will guide you on how to download the Relations and Functions class 12 notes pdf and what are its uses? Along with that, you can get a brief idea about the topic relations and functions.

What are Relations?

A relation is a set of ordered pairs (x, y) where x is called the independent variable and y is called the dependent variable. The relation between x and y is defined by a rule that assigns a unique value of y for each value of x. Sets Relations and Functions class 12 notes contain this definition along with some examples.

What are Functions?

A function is a special type of relation in which each value of x corresponds to exactly one value of y. The relation between x and y is defined by a rule or formula, and the dependent variable y is said to be a function of x.

Notation:

The function is denoted by f(x), where x is the independent variable and f(x) is the dependent variable.

Types of Functions:

One-to-One (Injective) Function: A function is said to be one-to-one if no two different values of x correspond to the same value of y.

Onto (Surjective) Function: A function is said to be onto if for every value of y, there exists at least one value of x that corresponds to it.

One-to-One Correspondence (Bijective) Function: A function is said to be a one-to-one correspondence if it is both one-to-one and onto.

Where To Download Class 12 Maths Relations and Functions Notes?

You can find Relations and Functions notes for class 12 anywhere on the internet, but there is no guarantee you will get accurate and authentic revision notes for Relations and Functions. I will advise you to visit the Selfstudys website which has over 6 million monthly visitors and many subject matter experts. 

If you are looking for very short, precise and accurate Relations and Functions class 12 notes pdf then you should use Selfstudys website.

What Are The Uses of Class 12 Maths Relations and Functions Notes?

Relations and Functions note class 12 can be used in various ways, especially while preparing for the board examination. Below, I have listed where you can use the Class 12 Maths Relations and Functions Notes to your advantage.

Refer to the Relations and Functions class 12 notes pdf when you know you are missing some topics while solving questions of Relations and Functions.

While doing the last-minute exam preparation.

[jobtamizhan]

TN DIPR Recruitment 2022 03 Driver Vacancy

TN DIPR Recruitment 2022 03 Driver Vacancy #jobtamizhan #govtjobs #governmentrecruitment #centralgovtjobs #tnpsc #upsc #ssc

TN-DIPR – Tamilnadu Department of Information and Public Relations (DIPR) Recruitment 2022 Inviting the Application for the Following Posts Driver. Totally 03 Vacancies are Available for This Job. Candidates Need to Apply Offline Via Posts for These Posts. the Work Location is Chennai, Tamilnadu Government Official Release The Notification Interested and Eligible Candidate Please Must Check Full…

[delzinrowe]

THE GOLDEN GIRLS (1985-1992) A Little Romance (S01E13)

[quietimtryingtostudy]

(you're doing amazing, bestie🥳💃✨)

(three more questions, then i stop, okay?)

7. Check if the relation R on the set A = {1, 2,3, 4,5,6} defined as R={(x, y) : y is divisible by x} is

(i) symmetric

(ii) transitive

(Thank youuuu 😭 <33)

Figured out the answer myself, took a little help from online portals to see how to write it but eventually got the hang of it!

[feralboo-the-weirdo]

You know what is just mind boggling? Neurotypical people exist. Like there are people who can just DO things and not have depression, anxiety (in every form ever), RSD, sensory overloads, and not get overwhelmed. Like there are people who can work for eight hours every day and still do things after. People who can make phone calls with no struggle. Who aren't constantly bombarded by a cacophony of thoughts both good and bad when they do things. Who have anxiety but it isn't crippling. who can spend hours, WEEKS with people and not get tired or fear that everyone there hates you. People who have no idea what Depression or intense trauma feel like. People who hear instructions and do it right first go. People who can follow a conversation without zoning out, or having to mask.

Like. Do neurotypical people actually exist?

Because I can't even imagine what it would be like to be neurotypical. Or mentally healthy. Both sound alien and foren. But like. Obviously they exist because neurodivergent people wouldn't struggle so much if not for how the world was structured for Neurotypical people but I don't know if I've ever met a neurotypical.

idk. food for thought I guess.

[ashishkumarletslearn]

Class 12 Maths Exercise 1.1 | Relations and Functions - MathYug

Delve into the realm of Relations and Functions in Class 12 Maths with MathYug's expert teacher Ashish Kumar, fondly known as Agam Sir. In this comprehensive video lecture, we unravel the complexities of NCERT Exercise 1.1, exploring empty relations, universal relations, and more.

Timestamps:

00:00:05 Introduction and How Ashish Sir is going to teach you Class 12 Maths on MathYug

00:06:37 Empty Relations and Universal Relations (Trivial Relations) Lecture 1 (NCERT Exercise 1.1, NCERT Exemplar, Board’s Question Bank)

00:12:27 Question 1 Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b ≥ 6}. Choose the correct answer. A. (2, 4) ∈ R B. (3, 8) ∈ R C. (6, 8) ∈ R D. (8, 7) ∈ R (N)

00:15:17 Question 2 Let A= {1, 2, 3,} and define R = {(a, b): a – b = 12}. Show that R is an empty relation on Set A. (B)

00:17:47 Question 3 Let A be the set of all students of a boy’s school. Show that the relation R in A given by R = {(a, b) : a is the sister of b} is the empty relation and R′ = {(a, b) : the difference between the heights of a and b is less than 3 meters} is the universal relation. (N)

00:28:17 Question 4 If A is the set of students of a school then write, which of the following relations are Universal, Empty, or neither of the two. R1 = {(a, b) : a, b are ages of students and |a – b| > 0} R2 = {(a, b) : a, b are weights of students, and |a – b| > 0} R3 = {(a, b) : a, b are students studying in the same class} (B)

00:40:47 Question 5 Let A = {1, 2, 3,} and define R = {(a, b): a + b < 0}. Show that R is a universal relation on set A. (B)

Join us as we embark on a journey to master Class 12 Maths, guided by Agam Sir's expertise.

[dykepaldi]

why is there such a big thing in dw fandom that people think the companion needs to be relatable to the audience. do u not sometimes want to see someone in completely different circumstances/with different traits and flaws to u. personally i would find it incredibly boring if i could relate to every single companion

[edusquaremaths]

Q4 Exercise1.1 I Class 12 Maths NCERT Chapter 1 Relations and Functions | NCERT solutions

NCERT Class 12Chapter: Relations and FunctionsExercise 1.1 Question 4: Show that the relation R in R defined as R = {(a, b) : a ≤ b}, is reflexive and transitive but not symmetric.