Relation And Functions | Full Chapter in ONE SHOT | Chapter 2 | Class 11 Maths 🔥

0:00 Because this is going to be the best video Whole You must be finding the maths on youtube1 tough, right? no it's not tough this is useless motivation I am not giving it, do you know why it seems tough? Because you people don't pay attention to the basics What does basic mean, basic maths basic You just need to read this chapter like Maths one thing should come that is sets now you guys If you read this chapter directly then how will you do it you will understand and if you don't read the sets When you read this chapter you will feel it friend what is maths friend it is difficult leave it I will give it to you and then you will leave it and then You will say that maths is tough but brother, I will tell you the whole thing

0:45 It may seem tough at first, I promise One by one description of relations and functions in video I'll tell you something, I know it You clicked on this video and did two things because of which either you get from basic to advanced I have to read it because it is the best video is gonna do this whole will run youtube3 but will complete everything okay so welcome welcome welcome everybody to the My name is Platform of Physics Hrithik Mishra I am your mathematics Mentor is your friend, your elder brother It's okay to say what comes from your heart So today in this video we Relations and Functions Complete in One Shot

1:32 You are going to do a very important exam for your class 11th Easy chapter but there are some things here These are the ones that sound a little difficult I am there but I am not able to explain it to you easily. I will try and tell you one thing I will teach you in such a way that you can teach someone else ok you can teach one thing this chapter Just a pre requisite for reading If you don't get the sets please don't read this chapter. Look the other way, you may find it difficult. The second important thing is this chapter is about Used in almost every 11th chapter You will read this same chapter in class 12th.

2:20 you will know about it in class 12th but that You won't even understand this chapter I don't understand today, okay I'm promising yes, it is obvious that you should keep patience It is not necessary to watch a long video in one go So if you can't see the pieces in one go Things should be discussed first, right? Remember the orders, the sets should come like this If I say something that you don't understand, it means sets It was said in the sets, isn't it okay? Bhaiya ha na n orders off to you now friends nothing no two objects or

3:16 One This is an element so you can understand what is going on What does ord pair mean? Two things are one Two things are written in a particular order It should be written in particular order, I Remember, 1 2 and 2 1 are completely different. things to remember class 9 class 10 1 2 of a different point in geometry Indicates the location of a different point Location tells me this is a scene like this boss comma b can also be simple it is the first

4:03 Element a is second element b is brother one And maybe brother, believe me dat pair so bro two things two things means now Isn't it two people, two objects, two elements? If you have read sets then every person in the world A thing is called an object. If we think in that way then two objects If it is written in a particular order what is written here n ordered pair Is not a set order pair friends a set What is a collection of objects set?

4:56 ok set your guys this curly bracket Important as I said 1 2 2 1 There are two different dude pairs with very high ordering. What is important and the last thing and the two Pair It is not necessary that both elements are in your Half of the chapter is clear to you right here Will Carthijn product set off? happens and why did you teach order pair now

5:42 it is easy for you to understand Friends, I think I bought a set a Take any set containing elements ok it's like if I bought any set then it's ok which has elements like 3 4 okay so it has two elements in it two Elements, do you understand this? is the Cartesian product of sets. It is a set. The first thing that happens is every basic thing Will I tell you what is the Cartesian product of sets? there is a set there is a set there is a set happens now like this is a set in which there is an element one there is an element two this one is a set it has one element three one element is the four cartilage product of A set is also a set in which the elements are are those which are ord pair

6:27 I said, Guruji, I passed through it comfortably. The elements will be order pairs Let me explain what I mean, see if I Should I tell you a cross b friends this is We call it Cartesian product of two sets whose carton product of two sets Which elements will come in it the most first thing this is a set this is a set this is a If you understand set then elements in set What are those elements and what will be the order I will tell you which pair those ord pairs will be take this three with its one with its one This is basically a multiplication scene there is something so 1 3 became a scared pair I understood 1 comma 4 became a dud pair ok 1 2 3 became a dud pair attention

7:13 listen and 2 comma 4 become an ord pair So now I have a total of four order pairs are there, some other thing can come What cannot be understood, if understood, then I have written that order pair can be made So now these are four order pairs friends You should take a set of these, which means this is a element this one element this one element this One element so total there are four elements I understood your set of four elements. So what is Cartigan product of two sets? in which the elements are ordered in your pair It contains the elements of your order pair I understood that and that would be a set I hope it is clear to you, ok now here but suppose if I b cross a with you then this a

7:59 the cross will come apart from b see how if I may I ask you b cross a first this then this First three took three with one three If you understand two with three then one with three is one Did you understand what the pair was made of? After that, four with one four with two so four with one one make a dot pair and two with four make a dot pair Its okay and you can send this order to the pairs Create a set of elements with the value b Cross a is also a set collection of Which elements are one of the elements? this one this one remember this cartijn The element in the product of two sets Is Odderby tell me one thing does a cross b and b

8:47 cross a is equal to what a cross b is a set and b cross a is also a set or both The ordered pair is its first element one. is a pair its first element is the second Element one, these two elements are not the same What can general ever mean? It should happen that brothers a crosses b and b crosses Sometimes, understanding of a set is equivalent to I am here okay so let's read the definition once

9:33 Let's do it ok now this is me roster I am writing the form, remember the set in sets You can represent it in two ways There is a roster form, what is a Roster Form In the roster form, you can If there is an element, you write it separately Whatever element there is, you can separate it you write it in the set builder form Without writing the elements, such a list of elements is written You write the property because of which property From this you will understand that boss, all these elements You should pay attention here now dena what are you saying let a and b be any These are empty sets, meaning they are non-empty. It would be like you have two elements in a b

10:24 say a b a b where a what would a you Your friends belong to set A and Looks like it's written which is a element He Belongs, This Belongs To Sign which is the first element of the ordered pair The first element of the ordered pair is is an element that belongs to set B. Will do if you still don't understand anything 10 There is a lot to take, okay now tell me rest thinking from Do these two sets Is it their carton product? How many in it?

11:10 There will be elements, can you tell the meaning? Elements will be there, can you tell what number off Elements in the Carthagen Product of Two I'm going to give you the formula for sets It was very easy, see if there are two elements in it there are two elements in it so 2 * 2 is 4 There will be four elements in your carton Product of two sets in for example now Let me tell you this thing, boss, consider me as yours you have a set a that contains the elements Five and let's say I have a set of B which has three elements then your set is A Brother what is this called cardinal number of The set A means the cardinal number of sets How many elements are there in that set? Suppose set A is a set having five elements in it

11:56 b it has three elements so brother if If I make an A cross B set then How many elements will it have? How many There will be as many elements as in the simple set A There are multiples of elements in the set B. I understood all the elements clearly It's done, how many elements will there be, boss, how many There will be 5 * 3 15 order pairs or 15 elements note i have 15 order pairs said that the elements will be order They must be pairs only, now think how these 15 are Look, it will have five elements So the first element will be a dreaded pair of it Elements become three with three elements There are total three order pairs, the second one which is this element will be with its three then the third element with its three then the fourth with its

12:42 three with then the fifth with its 15 elements I hope you make 15 dude pairs friends Did you understand this simple formula? please note it down after putting it on the note, ok I will tell you everything from the very basics Have patience friend, it's a simple thing Class 11th chapter this can't happen I will finish it in an hour, you have to have patience Friends, I am promising you one thing You will understand that it will be fun, okay let's go Now look, what was asked of you, what was asked of you just pay attention find x and y asked you x and what did y ask and what did he say if x + 3 5y is equal to 6 2x + y friends this is it The pair is its first element is x + 3 and the second is Element F is the first quadrat pair element is 6 second element is 2x + y so two

13:29 Remember, the order pairs are equal to the ones you gave Note that if two order pairs are equal then meaning their first element will be equal The second element is equal to if You are given two order pairs which are equal it means its first element is The second element will be equal to the first element An element is equal to its next element Brother it's a simple thing brother 1 and 2 are not equal the first element of 2 1 is not equal to the second element is not equal to but equal to 1 2 if you are able to understand what 1 2 means then From this same thing you can find out x and y So I showed you its first element friends x + 3 its first element is 6 then the value of x your th is came okay its second element You can see the fovea and the other one is 2x+

14:15 y is visible a guruji to remove y x If you should know then x has come out to be 2 * 3 Pwa so friends here comes your 6 pwa equals 5 y yours has come my way how much did you get Manav, I understood, now look, if you are here If you keep th then it will become your 6th. If you keep 13 then it will become 6th. this is your 6 pva you kept it my f to look 6 5 6 5 i understood it ok ok bhaiya now what did you say question There is a set given which has four elements B Given a set having two elements A cross B And you have to take out B cross A, take it out from all First friends there are four elements two elements are ordered sequentially

15:02 How many elements will be there in the product 4 * 2 cross b comfortably so its one go to k with this one go four with 1 2 one dud A pair will be made 1 4 A dud pair will be made then 3 2 A dude pair will be made and 3 4 in one tap I know you might find this very easy But write it down once so that you don't miss it while moving forward. ho it shouldn't be like this after an hour when we If you are studying the function then what is this added pair This shouldn't happen to your daughter. F your four with F your two with F ka As is the case with Four, so is the Six with your T. Six is ​​yours with four, Si is yours with two your are ok with set first element

15:48 second third fourth fifth sixth seventh eighth Total eight elements as I told you Understand and take out B cross A yourself. can you be cross as boss simple your with these two and four Tov Th 2 5 and 2 understood 41 43 4 5 4 6 4 pair will be made friends i hope you understand Now you can take this out yourself, give me a set

16:35 So what did you say to us a cross b If you take out the intersection, then Cartesian product Brother, take out this set first This is a very basic thing, a very basic question. Brother, what are the elements? There is no three in this, there is five, there is no in this Brother, only and only your three common. b Intersection c A singleton set will be singleton Only and only one element is ok and a

17:26 Guruji, three elements and one element three elements ho what did you say, I got confused hey this is one set this is the second set don't be afraid of this the second set is b intersection c your second The set is the cartilage of these two sets How many elements will you put in the product Three and one will come 3 * 1 3 you can try it also can if suppose you asked a cross a cross b intersection c guys asked you yes, how much will your friend get, your one Ord pair with three will become two your three with and three yours with three and its you make a set two three elements come to your a Cross B Intersection is easy till now in my opinion all If it seems easy to you, just keep listening keep watching there is no need to take any load

18:13 let's level up a little bit saying a belongs to this means a This is the element that belongs to this set Did you understand that there must be some element ok it belongs to this set of yours means what could be the value of a This value is yours friends -1 2 3 4 5 anything Likewise b belongs to friends in this set means if b is an element then it can be row as well It could be a three, it could be a six as well because he belongs to this set then the elements of this set are the sum of your b value may be right the set said whom of all order pairs a b of all order pairs a b means write a set whose order What will be the order pairs of pairs

19:03 They put a condition on all the values Is it true that APS can be your fan ho, what is he saying, I am not able to relax Now see what is coming to you, if I tell you bolu order pairs ask ok a b a b Your set will be created using order pairs Let's see how many order pairs we can get yes friends this can take your -1 three okay so on the first order your -1 0 will become -1 0 brother if I believe this The capital A set is called the capital B set. I am taking out the cross B and not doing anything else.

19:49 6 Then what with t with rot with t with t with 6 with g 30 33 keep watching 3 s what else boss 4043 46 40 43 46 keep watching just keep watching then 50 5356 50 535 this is all the dude pairs it can come with they made it What did they say, what did they say in that set

20:35 Take only those order pairs that are The thing is satisfying that a + b is your 5. ok so what will be the answer Friends, I have to write answer answer set set one. Write a set containing ordered pairs that are a + b = 5. Okay friends, this is the value of a. The value of b is this: plus both of these Are you getting any relief if it is not coming then you Cross them, plus these two and make them Is it coming or not coming to both of them? Plus Kar F is coming friends. Dude pair will come in this set, it's ok No it's not it's not it's not it's not it not even this not even what will come

21:23 5 You don't even understand what I said Tell me where those order pairs are, Emma B. A can take these five values ​​of yours, B can take yours Your question is, understand what is going on I understood what was going on, it was very easy to understand. It is very easy, by the way, try this one and show me They are saying good by the way, not that I will leave only after reading this video. it happens that I will ask you so many questions I will ask so many questions, I will ask so many questions that after this video a little practice It might be quite

22:13 Element belongs to this set means A Your can give these four values ​​B Your The set means to tell the order of the set It is okay to tell the set of b where that a Like what condition did you impose that a + b5 Said order pairs like this, take orders like this Take pairs where a divides your b. and a is smaller than your b Divide and a is less than b. It should be okay, it doesn't mean that brother.

23:05 No Yes, A is not smaller than B. What did I say, A? This means that both these things should be satisfied with you. Now look at all the elements and orders. Total 16 order pairs will come if you Make sure to remove the carton product properly. We are only concerned with those who satisfy karr now look friends 2 4 a dat pair if a divides b then yes a divides b what he does is he divides 2 into 4 and and 2 is also less than 4 2 is less than 4 brother one element your 2

23:51 4 will 2 6 will happen exactly why because t divides the sexes and Is it less than 26? 2 is 18. Yes, 28. divides 218 is less than 218 will 2 be 27 will 2 be 27 will it not be not divisible by 227 yes smaller than 227 It definitely happens but it does not divide the two things what will happen 4 4 will not happen guruji why won't 4 divide into 4 But 4 is a little less than 4, it is equal to 44 won't this happen 4 is not divided by 6 but by 46 doesn't 4 18 doesn't 4 27 doesn't will 6 4 not 66 not 6 18 will be 6 18

24:36 will be less than 618 by dividing by 61 gives 6 27 will not be 9 4 will not be 9 6 9 will not be 18 will divide 91 9 is smaller than 18 9 will also be 27 So many order pairs come in total 16 But out of them I have only selected these order pairs But we made the set because we had given the conditions Boss A should divide B and A should divide to be small or your I have understood the answer, it seems very easy so far It's easy brother, yes let's go brother one of our friends This one can be done very easily. said if the order pairs ye and ye belong To the set, yes brother, now look at the set

25:22 You can represent yourself in two ways Roster form where different elements are present set builder fm element is not written Write the properties of the element what did element say friends two dude pairs I have given this, it belongs, it means this Element Hai Kika Element Dird Pair An element is a ordered pair element of a set What is the meaning of a pair element of a set? Cartilage product of sets will be good These two dads are on this set friends well this set belongs find the my x and take out my x and now relax from what I told you friends what set have I given you, consider it a set

26:10 Suppose let a ball a set what is given to you is A given to you by AB this element is means that the ordered pairs are the elements of this set b where at your mine 3 is equal to 2 but your mine 2 Is equal There will be many such numbers, many such There will be numbers of many B's and C's There will be values ​​that will satisfy it We don't care about what we will do Take out y, x and y and what did you tell us He told us that bhaiya x myve and Fava and Fava is the order of this set of pairs

26:55 Understand the Element There are many such values ​​of sum a and b By satisfying this equation both of them I place many such orders with values I can write down pairs, these two orders are I have given you the pairs so it is obvious that Whatever the value of a and b, A ye B ye A ye B Whichever is the sum of A and B There is value, she must be satisfying it This is the dread pair A B which will come in this set He said this scary pair is set right now I mean this scared pair will come to this will satisfy you just keep the value of a x b Look brother, did you understand the value of minus b bara 2a - 3 okay so b instead of -1 a instead of x

27:43 -3 solve 2x - 3 or -1 then 2x friends -1 + 3 or your 2x times 2 x times 1 x times 1 x It has come, how do you take it out, look at the 5th one here Pay attention friends, the value of y is y The value of your b or the value of your a The value of your a is the value of your b then b in place of y and in place of a your f and in place of a I understood your f this that -1 will be an ordered pair that comes in this set

28:29 Why does 1 mive satisfy this? look at a put v in place of a then look at 2 -3 -1 b I understood the value of that, just look here 5 7 so put f here 10 my 3 7 so the value of a value of 5b is easy i hope its all The product of two sets is correct anyway What is the meaning of order pair in triplet Order triplet means three things in one should come now like what did he tell you a set

29:20 Take out the product of three sets now how is this you will do it comfortably, okay, first understand it first Friends a cross Take it out tell me A is given to you -1 1 Write this down separately and tell you again what is given -1 now why this twice I am writing so that you Confused okay now if I ask you Taking out two sets and those two sets -1 will form a dead pair with -1 and -1.

30:17 Now what did you say to me, friends, again? Now what did he say to us brother, you give this one set A set as if what I said again I would say that you consider this as a set and you one set forget it you give it a set Suppose you consider it as a set, now you can understand the logic What am I saying, this is a set, a set If you want to do carton product of both then Basically what will come easily friends don't get confused base is a cross is a set cross a understood that you mean this set How to use Cartijan product now relax friends this element with this element with this this element with this

31:03 element okay with this there are four elements If there are two elements in a carton product How many elements will there be? Four elements in one set I have two elements, the other has carton Did you understand that there will be eight elements in the product? which ones so the first one with the first one myve myve myve order triplet made sense came then you then this is yours with this minus w Earn more Got the minuses, a little confusing but no not loaded then this third element is next to the first saath nama myve mine f fourth element dekho nav written first with The mine elements have arrived, what will happen now?

31:50 the first element with the second this second with its together then my human and my mine and order triplet nine and one nine and one then what 1 myv 1 1 myv 1 then what did you understand na just put a sign of one and bus set then it will be yours The answer is you can see how much in total Elements are one of the 6 elements which I can understand how to draw a cross a cross just let's go I think this is very easy homework I have to do something like this and give it to you

32:36 Questions gives you homework in between I will go, I will leave you a my b friends You should know what is taught in the set I have done difference of sets and be mine c You should also know this and then just answer it tell Give me this one set and give me this other set of both You can find out Cartijan products let's do it together friends gonna and then let's move on to some next level of questions then we are You will understand the relation only then you will understand the relation Next time when you understand these things, what will you say? The following are the state weather reports Statements are True and False So far we have The more you read this question, the more you will understand it all. It will remind you again and again, true and false I have to tell if the statement is false if If the statement is false then raise the given statement correctly if statement is false If it is there then you correct it and write it down friends p

33:23 There is a set having two elements m q a The set has two elements n if p is the sum of q means the cartilage of these two sets The product will be like this said the first you know the first one is false why brother tell me one thing give me in p has elements if q has two elements then How many elements will be there in p cross q at most First of all in n p cross q your friends There will be four elements 2 * 2 four elements Which four will these be? There are only two here. means there are orders, take them out p cross q What will happen by doing it right, friends, both of you go with then m goes to n with A going with A and A going with A

34:11 and monkey then this n for night go a for with the night and n for night go m for will come in pairs, what did the second one say boss if a and b are non mt sets if a and b is non mt set means f is not null is not set a cross b is a non mt set of dreaded pairs xva sat x belong A rest to A cross B is two sets means A is a set B is a set then ordinal in A cross B The pairs will be Dired pairs in A cross B I think there would be a dad pair too, now tell me this This element belongs to which set

34:57 will belong to both of these if a crosses b If you have grasped every basic thing easily You will enjoy Maths, you will enjoy it can you teach others it would be so much fun ok is a cross b is a set of ordered pairs Suppose there is a dread pair a b in it then which Which of these two will be the first element Which of these two will belong to the set what is the second one now what did you say here that a and b are two non empty sets okay Brother, there is some element in both okay so a cross b is also obvious It will have order pairs x y friends

35:45 Do you know who this x will belong to first? a to what is written here x to your b but what is written here, it will bill you Your mistake will be corrected, boss? Friends you will belong to A and Va This will belong to you only correct State understood, well what did he say next Friends, A set is given, B set is given. How is a cross b intersection f? Tell me, let's check it out friends, come to the third First of all, friends, there will be intersection of B. It just so happens, friends, this is your a cross b

36:34 intersection f you should know any Brother of set Suppose I took b a set 1 2 Well I have c is a set f in which any what will happen, that too will happen in this too There is no element, did you understand friends then b Intersection F will also become your F friends now a Carton product has to be done with two types of f will he come soon understanding and absolutely True brother when A and B have same elements If you don't have it then how to understand the carton product I'm here, let's take some rest this one

37:20 see what are you saying in the question, good Now friends this cartoon product is of How do you denote these are sets? yes brother, first of all you got the roster form denoted Write different elements in T Builder I can do it either or or or you You can also do this using arrow diagrams, now how can you do this? what is an arrow diagram very IMPORTANT THING A CROSS B YOU CAN REMOVE I asked him what do you do in an arrow diagram You can represent two sets with such oval shapes y your friends a set y your friends b Write down the elements of a set here. and write down the elements of the set fb Now two A cross B will give you the arrow diagram A cross B arrow represents you Represented by a diagram is a cross

38:06 b what will happen boss cross be simple one yours One with X Yours is just like that One with Wa Are you not okay with your ex? Yours with your ex Yours with your wife x with y yours wa with y then f yours with x and f with your wa understood ya Your Dr simple easy i think it is very good How do you tell if Cross A is your first one? The first question in Gaya was this arrow diagram from a cross a representing so second Gonna do a set and another one too a set so this is your A set your A set friends A The set has thf elements and contains 1f.

38:52 One your with simple friends one your one one with three your three with five Order pairs are made then three of yours for one with three of yours with three of yours was your fav three more were made together then what, five is your one five with your fav five with your fav Now brother you think for yourself that you have a set with 5 then a cross a what will come vv 1 3 1 5 3 1 3 3 3 5 51 5 3 5 5 that every little thing understands this I am telling you one small thing with every question You must be getting to learn something new and it's fun Part of chapter friends let's ask two questions

39:37 and do it and then move on with the relation Let's understand comfortably whether the relationship is okay or not A & B B two sets A and B your two sets have set a cross be consist of six element a cross b become your ch element a and B are two sets and A cross B has six sets Elementor If there are three elements of a cross b r these are three elements of a a cross b friends If I give it to you then you know that n cross b friends your six a six in a cross b Element cardinal number of a cross b your There are six, which means there will be six order pairs ok now you have three elements of a cross b Are you given 1

40:25 4 1 4 2 to 3 I have to tell you three more elements okay Friends, I have to tell you three more elements. What are the three other elements? ho, which of these three other elements will be yours Simple, you should understand this from here Friends, the first element is the first set if it belongs to you then you should understand You should have your one and three in the set which will be there. So it will happen, as much as I can understand And think about the second set, the total will be element is there should be three elements in it Which other element would be there? The other person will get your 4S in this, you understand You have got two sets of a cross element

41:13 will It has been done on the truth, it is not written on you write Write two sentences on your own 2 s is here 3 4 3 s 3 s is 3 4 write down did you understand these four three did you understand what i am saying then just a cross b you took out b cross a too you write down and do your homework It's okay to take it, it's easy, just know the sets from my friend. Do it, last but not the least obviously Relation Bola Friends, now you are in relation. You have to understand, so let's put the relationship first.

42:02 So let's understand the relation, what is the relation? If I ask you what is your relation then brother? You are single but in a relationship if you ask brother, what about you and mom? The relationship between two things is like giving. Now we are talking about two things, now this What is relation? Understanding a connection between two. Sets is called a relation between two sets The connection in between is called relation It is obvious that between two people two I call the connection between two things Now here is the meaning of relation.

42:48 Friends, is there a set relationship? Is there a set boss relationship? What is set? What is set? The elements it pairs with yes a perfect relation is also a set Relation is also a set, this is basic You should know these things, relation is also a set Which elements are there in this set there are order pairs now which ones order pairs are are for example pay attention i got a set I took a set and put the Koli in it. okay i have kept the koli bhaiya vicky

43:36 Brother Vicky kept the skill skill is ok understand and believe i kept it Safe ko just safe three three elements three man very successful man pay attention okay b i took the element in which i told you You will understand what I am doing It's ok to keep Anushka ji, Katrina ji kept paying attention listen carefully and kareena to the g and let's have Kareena play with two elements You will understand that it is not big do is a set b is a set now i have what did you say relation is also a set Relation is also a set, here which

44:21 There is a relation and I will tell you what it is I will give you the set builder form I have to tell you the roster, Guruji is getting confused keep listening to patience keep listening to patience okay now i understand it well Hey, your relationship with Emma B is developing. There is also a set in which the elements are Dude pairs are really tatt asset a a i the husband of a is the husband off is the husband Off b and a belong to a b belong to got it got it in set builder form

45:06 I've given you what a relation is a set This is a relation which I have denoted by r The set is not necessarily denoted by r. I have started from r and there is a set a b that means what will be the elements order pairs which order pairs where a is your a the set will belong to you b your b set will belong to you will belong and a is the husband of Meaning in this set you will get only those card pairs Which ones will satisfy you enough to take this thing? Now look if I ask you A cross B Understand if I ask you A cross B then A Cross B what will come to listen a Cross B Koli Anushka Kohli Katrina A Cross koli anushka koli anu koli katrina kohli katrina understands listening

45:53 Just go Vicky Anushka Vicky Katrina Wiki Anushka Wiki Katrina Kaif Wiki Boss, Katrina understood, then what is Anushka successful katrina anushka a dud pair kareena katrina d pair ok brother this is the only pair that can come in three element two element six elements Cartijan products will come in sets of two Ek Doti Cha Pa 6 Your six elements have arrived okay now pay attention keep listening okay But if I ask you, in relation set

46:40 Which dud pairs will you include? Only those who can satisfy this thing are a is the husband of be a is the Anushka Sharma's husband is BK Kohli If you have a husband then yes, then you are in a relationship set only and only kohli anushka Kohli will come Anushka will come, I will understand the matter properly Is it true that Katrina will come or not? Anushka will not come, Vicky will come, Katrina will come what a vicky katrin Katrina will definitely come, my friend, what do you understand Is she coming Saf Anu will come or not Saf Katan won't come, why is Anu's husband safe? No Anushka's and Katrina's husband is safe also not ok then just these two elements Your relatives will come and your relation will end

47:26 what is a relation what is two connections between sets and those connections what was this connection here this one If I understood the matter then what would be the relationship Now the most important thing is that there is a set Remember, subset, yes remember, relation is a subset of a cross be the most important thing that A relation set is always a subset It is a carton product of two sets. Meaning whatever your relation set will be and in that There will always be elements that Cartijan product has which of these

48:13 Yes, it could be any number, but remember this. if there are ordered pairs or those elements Cartagen Products Off It is not here, that is why I said relation is always a subset of cartilage product of two sets so you understood this logic a A small example and the example number is ok. Look, just pay attention, it's okay. took 4 9 8 16 pay attention you know

48:59 Friends, tell me A cross B quickly. Cross B Four Elements Four Elements A I am giving a B a relation in this Elements are your a b means dud pairs a b true that true that true that a s = b end belongs to and a [ __ ] equals b Meaning what is the connection given between both sets In the middle a score equals b you remember this Keep in mind what is a relation, it is a set

49:46 is the order pair There will be 16 dread pairs in A cross B But we only want to take those dreaded pairs which satisfying this thing friends now there will be a dad page don't understand An order will not be yours but it will not be yours Will the relation set be part of the relation set K Element what would happen if the square of is equal to 4 is the square of 4 This relationship will be an equal part of your relationship First Element It won't happen to you, will it happen at all I will tell you why it is okay 3 16 3 8 will not happen will happen 3 16 will not happen now look here and some more 4

50:33 4 will not be 4 will not be 9 4 4 will be 16 It will definitely happen 4 16 You understood your relationship There are only three elements in the set means a cross b will have 16 elements There will be 16 order pairs in the relation set There will be only three elements and these All three elements are present in a cross b These three must be there, why look at 2 square of equals 4 elements square equals no first element square equal to equal, I understood this is your relation set i hope you understand the relation it is a connection between two sets and i always have a Subset of Cartesian Product It is of course clear, this is the thing, both of you here friends But it is written there is a connection and a relation

51:20 Subset of Carthage Product of Two Set Relation is your subset a of b I will get questions asked and there will be better clarity It will come boss let's see ok now total You will know how many number of relations will be formed let's take what are you saying in the question relation means a set means a set this set What order will the elements be in Pairs end the talk then relation friends one set is defined on the set of natural numbers now what does it mean Friends, your relation is your relation, sorry. Your connection relation between two sets

52:10 Numbers mean both these sets are your natural Numbers So far you have three elements in a set They were giving five elements in B set, something like this You were giving me what did you say now that it is an A set The set of natural numbers is the set of infa Yours is also a set of natural numbers so this thing means samo defa na set off Natural numbers mean those which are both There are sets between which there is a connection and your I understood the relation of natural numbers Friends, your natural number to natural number Of set this first logic equation like here here If you look at this relation, this relation was Friends, this relationship of yours was yours was from b

52:57 understood a from b by the way what is the relation here between those two sets is the set of your natural numbers First thing you need to understand is what are you talking about relation? See you are given in set builder form Pair will be first element is x, second is your x what is x now boss x is a prime number Write this relation in roster form to you Relation set builder is given in the form If you want to write in roster form then it is simple Friends in relation your order pairs okay so first look at the prime number now Which are less than 10 prime numbers? number friends lesson 10 is u one one

53:43 nothing happens except these three There are four prime numbers less than 10. what will happen to the cube of 2 friends 8 First element three written 3 ka K 27 27 The second element 'f' written as '5' will become 125. And try cubing 7 7 with 343. Your four elements will come in your relationship Four elements will appear You have understood the relation, it is clear now that you understand this Suppose the set of natural numbers is also natural Carthage product of both these sets

54:29 If you do, how many elements will there be in it? The first one is natural number one yours with one one yours with two One Your Three with One Your Infinity With you again with you and with you and with you Together with yours to infinity but among them Projects are satisfying this thing I want it ok now just here now just here now just here It is said that in the question a set is given Following is the relation from A to B. Relation Means Set f of the Following R Relation

55:16 From A to B Give Reason in Support of Your Answer: Just tell me which relationship? it is ok then 1 4 1 5 1 s Tell me if you do A cross B how many Your three elements will come to me. Are these elements among the elements? What did I tell you about the relationship? Must be present in B means tell Friends, this is your relation, why are you coming?

56:05 aa is your subset of a cross b Simple, are you understanding? Yes Guruji, you are understanding. yes it's ok if Look at that f F will come, S will come friends this is also yours There may be a relation good will come 1 f will come 3 si will come 2 si will come 3 pho also it is possible that it will come, look here 4 Friends, it is not here, brother, it is 4 of the first set and 4 of the second set did not come can't you brother in dad pair you have a cross b what will you do fatu can come can't come four If yours is not here then yours is here

56:50 It doesn't exist, yes, if it was written T F then it would be correct if yours is here for yours is here but it is 2 6 will come 5 friends f is here No, it is not here, so this too is not there it will come, even this will not come 2 4 it will come you understand This is not your relationship, why don't you worry Maybe r4 is not a subset of a cross b I understood the simple thing, the relation which is set it is always a subset of A cross B keep that in mind I hope I have made every small thing clear to you am able to do a total number of relations How many relationships can you have? tell me i took a set of three elements

57:41 t element if I ask you the number of Subsets of A means how many subsets can be formed? Remember the set chapter number of subsets I told you the formula for how many sets there would be Power also has elements with four subsets total And you know which four they will be It should be four of yours one piece subset of every set will be created and not every set is a subset of it itself is a subset of every set and both of these are your different all these four will be your sets which are subsets will How many relations will it form now?

58:26 Assume there is a set I have elements Pa is a set I have elements in it four so tell me how many in A cross B elements 5 in 4 will be 20 elements and a Cross B will have 20 elements right now Relation is your subset, its subset it happens subset happens you tell me If there are two elements then power of t is four Subsets will be formed, this is a set, don't get confused. be that the cross b is a set y is a set has 20 elements 20 elements 20 How many subsets are there for an element

59:13 How many numbers will be formed? How many subsets will be formed to the power of 20 Subsets will be made brother, so many subsets will be made And the more the number of subsets, the more your relation Relation number of subsets is equal to number of Remember that relations can be made into as many subsets as There are so many relations It was possible, I understood it and it became clear Just answer one question quickly Well, I'll ask you, won't you ask hai good ya but one more small thing number of How many proper subsets were there reduce it by one

59:58 If I asked you the number of proper ones If you do not include the set then it will automatically The most equal one is not included, number off Proper Subset How Many Friends Power of T Power of 20 Now look at this thing, I have a question for you. Let me try to clarify for a second give me a little

1:00:44 Friends, say in question in question. are in question saying come Brother I have a relationship on a fine set having A The element is now between your two sets. Your relation is between two sets of There is no limited number of elements in it. infa element is having n element means va which is set in both N will be a set which also has A element and remember So r is a relation on a finite set

1:01:30 Having n elements means if you are given r is a relation on this set, meaning that are both sets with a connection between them Both of them are the same set, I understood it well. Number of relations on a number of relations How many relationships did you have before? Me Tell me how many crosses in a and b Elements a cross b in friends n in a Squ elements will be your A cross B Now you think there is a set, there is a set so much in it element and how many subsets of it Subset of numbers will become equal numbers of

1:02:17 Relation number of subsets equals total number Off Yes friends, do you know that whatever power you have? Understand that power of 2 n square relation is strange. It is like that but try to understand what is the relation. B means two which If there are 10 elements in it then how many subsets There will be power of 2, there will be 10 subsets. And there is a squa element in your relationship

1:03:02 The power of every element is the number of elements you have. Number off i understood ok boss let's go now friends relation How to represent a relation which is a set Relation is a set so friends should understand the relation relation you know is a set relation is a Which set of odd pairs is the correct set? have a good relationship friends the first way is Represent me in roster form Meaning, write different order pairs separately. Write down two elements and one would be your set builder FormSimple is your set builder form and one your one what happened to you brother arrow Diagram Arrow Diagram is your new thing on I have taught you this in a question. I'll just move forward slowly

1:03:49 okay friends now let us understand that What is meant by domain and range of a relation Domain and range are very important things What does off relation mean attention Give focus Just do it as it is given to you, it is fine Let us clear this for you through equation The thing is one, the domain is one codomain is one your range these three What is it, let me explain it to you, just a 1 minute question what did i say r is a relation from set a to set b r is a relation between the set a and the set Friends if I ask you a Simple Three 1 2 3 4 5 6 3 with 18 elements

1:04:34 There will be your a cross b what did i say about relation x is related to y is true that x divides y in relation who Elements will come from your brother 18 orders Pairs are among those 18 order pairs Only those order pairs that you will receive in your relation set I will say again the total of both sets Carton product will have 18 elements 18 order pairs will come, those 18 orders will come Out of the pairs, you can select only those orders Pairs will include people from your relation This thing will satisfy you in the set x divide your y by does x divide your y x divides your y divides x what is x your set a

1:05:22 who has to go here it is written like this I don't want it written, come on brother, first of all Write a relation, find pairs, write Rs. Set of order pairs in roster form You write that the relation is a set of ordered pairs. So write down all the order pairs, come on then what will come so does it divide 2 and No To It will come to yours, understand that it will come to yours will not come 2 4 will come S will also come, 8 will also come, are you able to understand me? I am able to understand that it will not be a good idea will not come 4 will not come 4 4 ​​will come 4

1:06:08 4 will come because four divides your fo is that fear which divides you taking pairs in which the first element is adjacent to the second dividing the fav will not come 52 53 55 is something for you friends These 3 Cha Pa Cha Elements are Important for Your Relationship The set a cross b will have 18 elements But in a relationship there is only one friend Pa ch elements right now what did you ask friends What's set is set is set is set Simple, now pay attention to what is domain

1:06:54 I can also show you this through an arrow diagram written in the form set builder in form you can write it using arrow diagram I will show you just pay attention okay set builder fam You have been given one divide y now focus I have to do it okay so let's do domain means first Elementor Simple First Elementor Simple Domain means the first element of the order pair in the If I talk about domain, domain is a set. Whose first element is the ordered pair? The first element of the pair is ok jao to ho. Gaya to same hai to same hai to once again Write and it's done, you have a set. A set of yours has been created, I call it a domain.

1:07:45 The second element is 2 4 6 8 4 and 8. if 2 4 6 is same then Got it, your domain is yours Range Your codomain is not asked but let me know. So the domain is set to something else, isn't it? The entire codomain is now your definition. I will write, you just focus and set the domain. B to domain i nothing but set b set b you write it on y T Sas, now wait, it won't be clear yet, listen?

1:08:31 go just my if i arrow diagram of this If I make an arrow diagram of Listen carefully if I draw its arrow diagram I make an arrow diagram of the relationship. There are three ways to represent Roster Form Set Builder Form Arrow the diagram is the first set second set y your set a y your set three in set a The elements are two variables pa two f pa in set B. Tooth 4 6 8 Tooth No

1:09:19 Now listen what is the relation brother 2 ft 2 So 2 2 2 4 26 28 2 2 2 4 26 28 you here Who divides your four to your si divides t to your doesn't do 42 doesn't do 43 doesn't does 44 does to and does 48 look 4 4 4 8 It must be written here, it's ok and something will come. What else doesn't come to you, this is your arrow the diagram is ok Friends, I will tell you two words, image and pre Meaning of image and pre image If I tell you If you ask what is the image of T then you will say T

1:10:06 The image of the hexagon is 4s and 8 if I I ask you if I ask you the image of four What if the image of four is 4 and The image of r is four and 8 is now the pre image what does it mean pre image means The pre-image of two is the pre-image of two is two i's pre sorry four's pre image is two Six is ​​the pre-image of two and eight is the pre-image of three if i ask you to pre image of one What is there in this case? Listen to three or four things now. It will take a minute then you will get better clarity still she won't come okay if I tell you If I ask you to tell me the pre image of this one then In this case in the context of this relation

1:10:51 There is no pre-image of forest in the set containing One is not connected to any element You are single in this element of relationship I want to tell you what was the pre image of the pre The image is not connected to anyone Didn't you understand? Now listen to the definition of domain Definition write it down Elements of First set or set of two elements of first set ch has image in second set ch has

1:11:39 A Image In I understood it in seconds and all the elements and all Elements that have an image It is called a domain, so what is a domain, friends? Your domain will be yours Your domain will be yours the image of friends and four is ma fo yours domain if i ask you range f range what is the domain hota hai la dos elements of second set kya all does all two elements of second set all those elements of second set ch have a pre image or four images of

1:12:26 ch have a prey Images have pre images and r images Off and f r images of or you understand right It's somebody's image, it's somebody's image The image is like 2 4 8 2 48 of something Image is the pre-image of f and 8 4 and 8 are the elements of the second set which There is some pre-image or someone who It is not anyone's image, that is called your range There are those elements of second set which have a fee image in first Let me write set fus here I will write range one

1:13:14 Which are the sets of elements 2, 4, and 8 because someone gave you 2 4 6s and 8 There are sixes too, 2, 4, and 8 in some way or the other is it a pre image of or is it some other image The image of does it mean that they have some pre-image or Then this is someone's image, good domain just finish the domain friends nothing It doesn't matter whether the complete second set image is there or not. It does not matter whether there is a pre-image or not Tooth 4 6 8 hole sec set hole sec I'll write the set here: 1 2 3 4 6 Forest

1:14:02 Now that you have understood these three definitions, note them down carefully. Make it very easy and based on this we will now ok same here too Come on, I will make you clear with just one question I told you what is a brother relation what is a domain what is a domain what is range these are all sets all of these sets well let's do some more questions then Set relation on set means I told you On this set means those two sets whose There is a connection in between, that same set I told you A non void set means some set

1:14:50 The self set A is the relation of the set A with itself. What do I say, relationship on set Just tell me, I will delete it. No reverse relationship, I will also teach butt. relation or relation A re occurs between two sets. A good set of numbers means these are finite sets.

1:15:36 Given is the relation set builder form. Given in is A B friends relation set The elements that are in Dread Pairs There are terrible pairs, there are first The element is part of the first set. It would be nice if 3 is also equal to 12. want and A is yours and number B is yours Natural means first element first element Part of the first set Roster form is asked domain said range How come I can't understand this, it's so much like this there would have been lots of are you coming

1:16:21 I took out the first element. I listened carefully first. Na instead of लिया instead of र put p 3b barb 12b barb 11b barb 11 What is the value of b of natural number? Part hai na hai ma nama 11 bati ek dud A pair will come and a pair will come, that is my relation. I did not understand the part of 'ka' I put 't' instead of 'kept' Instead of keep listening I just kept 'two' I can have a natural number I a your n b If you keep your n then 2 + 3 is also equal to 12. 3

1:17:07 also your 10 is equal to b your 10/3 Keeping it equal, 10/3 is coming natural Number this is not part of your relation set I understood, let's keep it in one place, so keep 3 3p 3b pay attention 3p 3b 12 Yours is not equal to B Yours is equal to understand it then th will be a part of your a cross a and will also be a part of that look at va aa in place of a no in place of i Well, you understood it, now keep an eye on it go watch The result will be 12b = 8b = 8/3

1:17:58 This is ok keep listening keep watching 7 will come 7/3 will not come keep the six if the six goes there If you put six in place of a then six or b yours too Keep coming and listening, you will have to keep keeping the guru You don't need to keep a parrot like this, you will get 7 points 8 8 will you keep it will come bha keep listening 8 If you keep it, you will get four; If you keep nine, you will get three keeping nine Your three 11 keep it or 1 ba will not come 12 keep it then yes ba Put some 1 then 12 minus 1 minus more than 12

1:18:53 Understand the negative thing, anything more than 12 Keep it B, your negative will come and B your Negative means b is not your natural number That means you can't keep more than 12, just these three Elements understood these three elements like this your relation jatt domain Yes, it is the image of Th, it is the image of S, isn't it? Brother, if there is an image, then the first element is nothing. And no relation set if in roster form If you have written then the first element is yours. Domains are and and and and the second one

1:19:39 Elementor That means the second one is two and one or your range would you understand if I tell you the domain Asks because if not asked then what is the domain? Boss gets the whole second set of yours. Natural is divided Let's move on to the next question and understand the meaning of evers of relation what is this question, it is very important to understand Easy Evers Meaning Reverse Evers Meaning What On the contrary, everyone will understand the iversity of relation

1:20:30 Numbers and Let's Are Be a relation on a good friends spelling Please forgive me a little for this, right here? Just a number and here friends this relation Go Relation ok thank you so much and really sorry Friends, let's look forward to the set off. first 10 natural numbers is a set of the first 10 natural numbers elements tooth dot dot dot 10 ta ok aa one Sets Your Set A

1:21:37 belongs and x p 2 your 10 so you Understood that those elements will come in the relationship. Audit parties will come to satisfy this matter. If you take two, how much will it cost to reach there? gone 8 y your fur will come x2 but friends y

1:22:26 Take tha, the value of y will not come naturally. 8 take 8 take or your forest come No other element is part of your relationship

1:23:19 this is yours r 2 468 2 468 this is your domain of aa aa domain means A set is the domain of R ivers domain Off r evers focusing 4 3 2 1 First of Element Relation 4321 this four has come th has come oo has come one a

1:24:05 let's do the second range so Will the range of relation come brother The second element is its pre-image pre Image 4 3 21 how much did you get 4 3 1 now one thing just focus ok now what is the range of r Ivers, I won't even look there, I'll even look there No range of averaging will come 2. After looking at this, how did you write the cheque? Karloe Range did you learn one thing from here The domain of a relation is the domain of a relation and the range of the inverse relation is

1:24:53 The domain of the verse relation is relation You should take note of this, is it good to rest from what that domain off domain of Relation domain of relation is equal to range of Ivers Relation Range Off Ewers relation okay you can see the relation is the domain of the inverse relation There is a range, I understood it, okay, and by the way, the range off range off The relation has range and domain is the domain of the inverse relation

1:25:41 Off Evers relation, you should note these two things Well, this is it, in my opinion, both do it okay you can see it you can see it what is the domain of the relation what is the domain of the relation The range is ok the range of the relation is and the inverse of the relation This also happened, see Y is written on Y. You should have just written some technical definition Reed Just do it, what are you saying, what should you say now friends this is you guys please in the time I will give you some homework questions to do.

1:26:28 please keep it, this is my request, is it ok Tell me quickly what will be the domain and what will be the range what will be the domain of the first set Elements that have an image Look brother, there are four images and two images of nine. Three and 3 and -3 are the two images of four 2 and -2 Two images of 25 are the same image of 25 -5 so look 9 is the image of 4 9 is the image of 4 and Image 25 is a set of these three what would a range set be a range set is a set Take elements of the second set such that

1:27:15 There is some pre-image or someone who If there is no image of anyone then 5 and 3 2 -2 -3 -5 somebody's mine 532 mite mine 3 mine Mine Mine 3 These friends, do they have any love or affection? some one That's your set, let's just go to your NCRT. If something is right, understand if something is right.

1:28:02 Meaning, if I follow you, I will do this. Let me explain, it's okay to focus R.B.A. Relation on q defined by now look here r is a relation q on q means rational number r Connection So what is this relation? Brother, your K is in the middle of the set. Rational number is ok defined by Which dad pairs will be there in the relationship? B will be dat pair A and B your rational number is and a mine b should be your integer a mine b your integer should be a mine

1:28:49 Be your engineer Now you just tell me what 1 for 1 How will I tell, look, the first element is zar q int zar the one below is not your row and a If you do a minus then you should get an integer.

1:29:45 Part If I ask you what 1 / 3 1 / 2 How will you check the part of this relationship of yours? Brother, the first condition was that both your Friends or your sir or your to or your sir - There should be an integer yes both are rational Inti is 1 up 3 1 upt of your relationship.

1:30:34 Pairs ho what are you saying to us now do you understand logic didn't you go? Yes sir, ok tell me one more look 3 me is this a dud of your relationship Pair You will have to check 3 is a rational number -3 is also a rational number, both are minus If you do this, you wrote 3 -3, minus both. So friends your 3 + 3 equals 6. 6 becomes an integer. If 3-3 is also a part of your relationship It will be very good, now you see this, many such There are all the elements that make up your relationship It is a part, what did you tell us, show that, prove it a b a a will belong to your relation a One element will belong to your relationship

1:31:21 and all a belongs to rational number means a any You should also be a rational number and always be in a relation I will come with the meaning of a a and both are same as yours elements simple thing 2 take 2 -3 -3 take 1/2 take 1/2 - 1/2 take 1 - 1/2 4 4 take it 100 100 take all of them You have to do this as part of your relationship is a will be a part of your relation means that Are both the elements the same for you? You have to prove that you will be a part of the relation It will definitely happen brother both rational numbers are minus By adding both rational numbers, zero will come If you subtract and get zero then both the

1:32:06 Friends, this is a rational number and you are minusing it integer is coming means all these Joe Same Same Elements Now you are a part of all relationships There will be many such elements Show me now that there are so many elements I was telling you this in the beginning, now When many elements of your relationship If it is a part then how will you prove it is all of them How to prove that it is part of the relation But it's easy, once you learn to write you'll enjoy it

…