Relations and Functions One Shot 2024-25 | Class 12 Maths NCERT Explanation with Ushank Sir

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  • Опубліковано 7 лис 2024

КОМЕНТАРІ • 350

  • @scienceandfuneducation
    @scienceandfuneducation  4 місяці тому +214

    📒Most Recommended Books for 2025 Board Exams by Ashu Sir
    Class 12- amzn.to/4aPqewp

  • @onspike5830
    @onspike5830 4 місяці тому +274

    00:00:00 - INTRO
    00:01:27 - 11TH REVISION
    00:13:40 - TYPES OF RELATION
    00:13:59 - NULL RELATION
    00:16:05 - REFLEXIVE RELATION
    00:19:23 - SYMMETRIC RELATION
    00:23:27 - TRANSITIVE RELATION
    00:30:46 - EQUIVALENT RELATION
    00:31:18 - QUESTIONS
    01:14:01 - FUNCTIONS
    01:18:05 - TYPES OF FUNCTIONS
    01:22:05 - QUESTIONS
    01:56:19 - OUTRO

  • @God_f-777
    @God_f-777 3 місяці тому +648

    Fun Fact : now you can triple likh to reply

  • @Ishant-y5v
    @Ishant-y5v 4 місяці тому +1028

    Fun fact: you can now double tap to like comments on youtube

  • @AryanSharma-nf9nj
    @AryanSharma-nf9nj 3 місяці тому +192

    30:23
    Most of the people does not notice this 3rd example of transitive relation (R-3) relation. Ye example tranisitive nahi hai kyuki
    R3 relation mai (3,1) hai, (1,2) bhi hai, lekin (3,2) (R3) relation mai kahi bhi nahi hai
    Hence it should not be transitive
    Like if you agree 💯

  • @RockStar-sw6hs
    @RockStar-sw6hs 4 місяці тому +136

    Vote for Inverse Trigonometric Function 👇👇👍

  • @codewithkush4508
    @codewithkush4508 2 місяці тому +28

    1:13:20 Equivalence class of (2,5) = {(1,4), (2,5), (3,6), (4,7), (5,8), (6,9)}

    • @sasukegaming8289
      @sasukegaming8289 2 місяці тому +1

      how can u explain

    • @fullgaming397
      @fullgaming397 2 місяці тому +5

      @@sasukegaming8289 The relation is a+d=b+c and here if u take (2,5) as a and b then we do need c,d such that d added to a and c added to be make them equal. Now 0 is not in the relation so cant be take and 1 added to 5 and corresponding 4 added to 2 make them 6 and 6 so 4 would be d since d is added to a. just like this (2,5), (3,6), (4,7), (5,8) and 6,9. You cant add 7 because then you would need then which is not in the relation

    • @nidhishagrawal
      @nidhishagrawal Місяць тому

      @@sasukegaming8289 if you add (2,5) in another subset and the sum you are getting is equal then only we can say that it is an equivalence class of that particular subset

  • @kapilkashyap-fc1sh
    @kapilkashyap-fc1sh 4 місяці тому +39

    Sir.. PLEASE CONTINUITY AND DIFFRENTIABILITY ka ek one shot daal dijiye.. 😢kux smjjh nhi aa rhaa school mein..

  • @GahmaMunda-f4m
    @GahmaMunda-f4m 4 місяці тому +123

    Sir inverse trigonometry ka ek video banado

  • @-yash_Yuvraj
    @-yash_Yuvraj Місяць тому +4

    56:33 in this question the relation is transitive! Bcoz if we take (x,y) : x

    • @savitrisharma977
      @savitrisharma977 Місяць тому +3

      For example; if we take (10,4) and (4,2) then (10,2) it doesn’t satisfy relation R. That’s why it is not transitive

    • @amanpreetsingh6595
      @amanpreetsingh6595 2 дні тому

      @@savitrisharma977 May be it is depend on the example we have taken like if we take in fraction like 1/2 or 1/4 etc. than it shouws that z^2 is always less than y

  • @yasxhh
    @yasxhh 4 місяці тому +50

    I'm IIT jee aspirant and this chapter is going through 25 days in our coaching😂

    • @OpGamer-io3th
      @OpGamer-io3th 4 місяці тому +6

      Bro for JEE you have to study many such topics which are deleted from NCERT like Periodic Functions, Odd- even functions, Transformations (Graphs), etc....

    • @kumar_neeraj_s
      @kumar_neeraj_s 4 місяці тому

      Bro hmara me toh 30 lecture hai😅

    • @aryavardhan1201
      @aryavardhan1201 4 місяці тому +5

      3 Din me hamare sir ne pura chapter khatam Kara diya aur mai unhi din absent tha ab one shot dekhna pad raha hai 😢

    • @yasxhh
      @yasxhh 4 місяці тому +2

      @@aryavardhan1201 if u r prep for jee Nishant vora oneshots will help you

    • @aryavardhan1201
      @aryavardhan1201 4 місяці тому +1

      @@yasxhh thanks 🙏

  • @Priya-gn1xr
    @Priya-gn1xr 4 місяці тому +81

    JAB TUTANE LAGE HOSALE TOH BUS YE YAAD RAKHANA
    BINA MEHNAT KE HASHIL TAKHTOH TAAJ NAHI HOTE
    DUND LENA ANDERO ME MANJIL APNI
    JUGUNU KABHI ROSHNI KE MEHTAJ NAHI HOTE😊😊😊❤❤

    • @Yadav444
      @Yadav444 3 місяці тому +1

      Totivation bnd kro😂

    • @Priya-gn1xr
      @Priya-gn1xr 3 місяці тому +1

      @@Yadav444 kya

    • @Yadav444
      @Yadav444 3 місяці тому

      @@Priya-gn1xr ye faltu ki shayiri bnd karo

    • @Priya-gn1xr
      @Priya-gn1xr 3 місяці тому +1

      @@Yadav444 faltu hoga tu tere baski h toh likh Varna faltu na bol👿👿👿

    • @harshitmathpal7197
      @harshitmathpal7197 2 місяці тому +1

      😂​@@Priya-gn1xr

  • @Aryan_jaggi_urf_AJRambo
    @Aryan_jaggi_urf_AJRambo 4 місяці тому +51

    1:53:01 answer is 2 according to me, btw sir lecture bahut badiaya tha, maza aaya , bas aise hi lectures aur lana aur pls practice vaale sessions bhi laana, humble request🙏🙏

  • @AkanshaSingh-dd8tc
    @AkanshaSingh-dd8tc 2 місяці тому +32

    1:07:41 ab(b+a) hoga na ki ab (b+c)

    • @saurabhji460
      @saurabhji460 Місяць тому +3

      Ha bilkul sahi kahi ho isi ki wajah se mai confused tha lekin tumhara comment pad kar confusion dur ho gaya. Thank you 😊

    • @AkanshaSingh-dd8tc
      @AkanshaSingh-dd8tc Місяць тому +1

      @@saurabhji460 welcome 🤗

    • @atharvpanchal5958
      @atharvpanchal5958 Місяць тому +1

      @@Censton wow

  • @RobinMechu
    @RobinMechu 3 місяці тому +8

    1:13:32 equivalance class of (2,5) is
    (4,1), (5,2), (6,3),(7,4),(8,5),(9,6)

  • @samycreativewarrior8398
    @samycreativewarrior8398 4 місяці тому +11

    Amazing video Jo doubt aaya wo agle question mein sir ne apne aap hi solve kar diya

  • @CSH0021
    @CSH0021 3 місяці тому +8

    1:13:50 sir equalence class of (2,5) is (1,4),(2,5),(3,6),(4,7),(5,8),(6,9)

    • @animefusion-db8xv
      @animefusion-db8xv 3 місяці тому

      Brother how?

    • @StuDent-v7j
      @StuDent-v7j 3 місяці тому +8

      (2,5)R(c,d)
      =>2+d = 5+c
      =>d-c=5-2=3
      Therefore, we have to find those ordered pair whose difference is 3 from set (A×A)

    • @animefusion-db8xv
      @animefusion-db8xv 3 місяці тому +1

      @@StuDent-v7j thanks buddy

    • @StuDent-v7j
      @StuDent-v7j 3 місяці тому +1

      @@animefusion-db8xv 😌✌🏻

  • @zai___ziaahmad786
    @zai___ziaahmad786 2 місяці тому +4

    0:09 0:11 0:12 application of derivatives

  • @raprashtra
    @raprashtra 4 місяці тому +10

    1:53:15 homework answer - 2

  • @being_aastha23
    @being_aastha23 Місяць тому +6

    1:53:08 homework answer is option ( b ) 2

    • @pawankumaryadav897
      @pawankumaryadav897 Місяць тому

      Hii

    • @therozer1203
      @therozer1203 21 день тому +1

      Agreed
      I got this:-
      R1= { (1,1)(2,2)(3,3)(4,4)(1,2)(2,1)}
      R2={(1,1)(2,2)(3,3)(4,4)(1,2)(2,1)(2,3)(3,2)}
      R3={(1,1)(2,2)(3,3)(4,4)(1,2)(2,1)(2,3)(3,2)(1,3)(3,1)}

  • @alok7013
    @alok7013 4 місяці тому +12

    I was literally waiting for lecture
    and please month end tak inverse trigonometry ka bhi one shot upload kar dijiye ❤❤❤❤

    • @commerceandfun
      @commerceandfun 4 місяці тому

      Already uploaded plz check

    • @rishi2182
      @rishi2182 4 місяці тому +1

      bhai kab ke wa chuke

  • @kapilkashyap-fc1sh
    @kapilkashyap-fc1sh 4 місяці тому +6

    Sir transitive relation me last wala example transitive nahi hogaa... Kyunki usne (3,1) or (1,2) haai pr (3,2) nahi h.!

  • @OpGamer-io3th
    @OpGamer-io3th 4 місяці тому +5

    30:30 We have (3,1) and (1,2) but we don't have (3,2) so how can this be Transitive??

    • @NoobPro24boi
      @NoobPro24boi 4 місяці тому

      no but if u dont even have (1,2) in relation then it is transitive

    • @OpGamer-io3th
      @OpGamer-io3th 4 місяці тому

      ​@@NoobPro24boi I did not get your point
      According to me it shouldn't be transitive

    • @arabindamohapatra2550
      @arabindamohapatra2550 4 місяці тому

      Yes @OpGamer-io3th I agree strongly with your point

    • @arabindamohapatra2550
      @arabindamohapatra2550 4 місяці тому

      Mai bhi wahi soch raha tha ki ye transitive kaise hua and sir ka ye mistake ko koi tackle kaise nahi kiya !

    • @OpGamer-io3th
      @OpGamer-io3th 4 місяці тому

      @@arabindamohapatra2550 According to me this is one of the biggest drawback of recorded lectures, teacher is also a human and he can also make mistakes. In live classes we can highlight the teacher's mistake but this is not possible in recorded lectures which creates confusion for us.

  • @unmeshmaurya3257
    @unmeshmaurya3257 2 місяці тому +5

    1:52:11 but sir when we put (2,1) in the relation
    then according to transitive definition that is if (a,b)€R , (b,c)€ R then (a,c)€R
    here (1,2)€R ,(2,1)€R and as well (1,1)€ R. Which mean it is transitive n?

    • @nidhanshiraheja2581
      @nidhanshiraheja2581 Місяць тому +1

      I also have same doubt. tell the reason once you get to know pls!!!

    • @KamalPreetKaur-tr5ym
      @KamalPreetKaur-tr5ym Місяць тому +1

      Full relation is calculated. If a relation is (2,1)(1,2) then it will be transitive but here we have other subsets like (2,1) (1,3) but not( 2,3)

    • @AnuragChaudhary-sd9go
      @AnuragChaudhary-sd9go Місяць тому

      @@nidhanshiraheja2581 Ok so youtube section is a chatting group right ? IDIOTS

    • @AnuragChaudhary-sd9go
      @AnuragChaudhary-sd9go Місяць тому +1

      SEARCH ON GOOGLE

    • @unmeshmaurya3257
      @unmeshmaurya3257 Місяць тому +1

      @@AnuragChaudhary-sd9go are wahh mst idea hai ☺️

  • @hitarth480
    @hitarth480 3 місяці тому +2

    The answer to the question at 1:53:19 is b
    And thank you for the lecture sir

  • @basharat_09
    @basharat_09 3 місяці тому +4

    20:26 Softly by Karan Aujla

  • @raghavandrasinghthakur3005
    @raghavandrasinghthakur3005 3 місяці тому +1

    37:29 (ii) is neither Reflexive nor Symmetric but it is Transitive

  • @Yashikesiyappe
    @Yashikesiyappe 4 місяці тому +8

    Continuity and differentiability

  • @IITJEE2025-uf4nz
    @IITJEE2025-uf4nz 2 місяці тому +3

    plz watch at 2x 41:46

  • @RajeshMishra-rb7eo
    @RajeshMishra-rb7eo 3 місяці тому +2

    Sir actually mai itne dino se preshan thi ki relation function ko lekr mujhe aata hi nhi tha but aaj laga so easy ❤ thank you sir by heart ❤

  • @KunalRizz_
    @KunalRizz_ 23 дні тому +2

    53:16 how successfully he managed to answer it

  • @piyalol1423
    @piyalol1423 4 місяці тому +6

    Love uuuu sir....... ❤❤❤🥺thankuuuuuuu sooo soooo much 🎉🎉🎉🎉🎉🥺🥺🥺❤❤❤

  • @Shivansh_Mathur_
    @Shivansh_Mathur_ 18 днів тому

    1:53:10 -> (B) 2

  • @Blank-hs5qc
    @Blank-hs5qc 29 днів тому +3

    29:58 here in the 3rd relation there is (3,1) and (1,2) but there is no (2,3) then how can it be considered transitive ???? (can someone explain? incase I am wrong over here)

  • @Suraj__Editing
    @Suraj__Editing Місяць тому +1

    Trust is very important for a relation ...........

  • @7gcreations
    @7gcreations 4 місяці тому +8

    Jai hind sir ❤

  • @rimplejindal8637
    @rimplejindal8637 3 місяці тому +6

    1:53:22 answer is b 2

  • @aniketaniket-ho1gv
    @aniketaniket-ho1gv 4 місяці тому +3

    13:01 Arrow diagram

  • @siddharthgamerz2573
    @siddharthgamerz2573 4 місяці тому +6

    39:07 yes sir transitive hai..

  • @_jigs
    @_jigs 4 місяці тому +10

    Short and crisp lecture.Good for revising basics

    • @Priya-io2gb
      @Priya-io2gb 2 місяці тому

      Not good for studying for the first time?

  • @shreyansh_kothari
    @shreyansh_kothari 2 місяці тому

    Best teacher on youtube joh aapko simple way mein samjha deta hai and basic clear karva deta hai...
    ❤❤

  • @hitakshi6955
    @hitakshi6955 Місяць тому +2

    Sir how can we join your offline batch.?

  • @omdiwakar8901
    @omdiwakar8901 4 місяці тому +2

    Thank you sir, this video has helped me a lot

  • @gauribhardwaj900
    @gauribhardwaj900 2 місяці тому

    Answer of Homework question - Equivalence class of (2,5) is (1,4) (2,5) (3,6) (4,7) (5,8) (6,9)

  • @JOJO-nm9vn
    @JOJO-nm9vn 4 місяці тому +3

    Thank you sir bahat maja aagya.

  • @Pankaj-f5g
    @Pankaj-f5g 4 місяці тому +5

    44.2 No

  • @Pankaj-f5g
    @Pankaj-f5g 4 місяці тому +5

    37.37 No

  • @taufeeqalam2687
    @taufeeqalam2687 2 місяці тому +1

    54:07 normal circumstances

  • @memeverse-n9r
    @memeverse-n9r 2 місяці тому +1

    39.14 question R (x,y):y is equal to x plus 5 ,x

    • @crystal_snow.
      @crystal_snow. Місяць тому

      Yes (a,b) belongs to r but there is not (b,a) is not in r

  • @aliazeemrizvi8581
    @aliazeemrizvi8581 Місяць тому

    Extremely helful sir , i was struggling with equivalence class and equivalence relation topic but your video made it crystal clear ❤

  • @Memeskischemes
    @Memeskischemes 4 місяці тому +4

    Thanku

  • @MamtaJain-vu2qy
    @MamtaJain-vu2qy 4 місяці тому +12

    Sir any one of these is the main question

  • @scieNtificiiTianClassXII
    @scieNtificiiTianClassXII 4 місяці тому +2

    Thank u sir ❤

  • @KartikeyTripathi-lc4ef
    @KartikeyTripathi-lc4ef Місяць тому +1

    Thank you so much sir 🙏🙏 for this series...

  • @AniruddhaRoy-pf8tw
    @AniruddhaRoy-pf8tw 3 місяці тому +1

    Sir 30:33 me thoda wrong hogya aapse . I think ye transitive nhi hoga kyuki (3,1)∈ R3 and (1,2) ∈ R3 but (3,2) ∉ R3

  • @PalguniS
    @PalguniS 4 місяці тому +2

    Sir next lecture please INVERSE TRIGONOMETRIC FUNCTIONS 🙏🙏🙏🙏

  • @padhaiekmazza4296
    @padhaiekmazza4296 4 місяці тому +4

    inverse trigonometric function

  • @Xtramasti
    @Xtramasti 22 дні тому +1

    Class Notes kaha milega???? Telegram pe to nahi mil rha

  • @Faw_gyan
    @Faw_gyan 4 місяці тому +4

    Best math teacher ❤❤❤❤❤❤❤

  • @DevRajVishwakarma-it8nr
    @DevRajVishwakarma-it8nr Місяць тому

    1:53:07 correct ans (C)

  • @ArunKumar11011
    @ArunKumar11011 Місяць тому

    30:36 sir example 3rd mai (3,1)hai(1,2) hai but,(3,2) nhi hai, uske it is not transitive

  • @user-ze8jh9ot7y
    @user-ze8jh9ot7y Місяць тому +15

    Boyfriend boyfriend 💀

  • @abhishekkumarsinha5067
    @abhishekkumarsinha5067 12 днів тому

    Can I watch this lecture for the first time? Is it detailed or revision?

  • @ambika1209
    @ambika1209 4 місяці тому +8

    Sir applications of derivation kra do ek baar

  • @pt.Bal-krishna-shastri
    @pt.Bal-krishna-shastri Місяць тому

    1:53:17 answer is 2

  • @rishabbhattacharya1435
    @rishabbhattacharya1435 3 місяці тому

    Sir this was a extremely helpful one shot, all my concepts were clear. Thank you

  • @Mahakdeep001
    @Mahakdeep001 2 місяці тому +2

    Thankyou sir ❤🎉

  • @rimplejindal8637
    @rimplejindal8637 3 місяці тому

    1:17:55

  • @incognito98599
    @incognito98599 Місяць тому

    1:53:14 sir answer is 2

  • @vanshikamalik9417
    @vanshikamalik9417 Місяць тому

    sir 29:43 pr jo h last wala releation according to me transitive ni hona chahiye because usme (3,1) or (1,2) h but ( 3,2) nhi h

  • @PakhiSingh-t2m
    @PakhiSingh-t2m 15 днів тому

    The only 2 hours lecture I attended without taking a break..gonna stick with science and fun!

  • @rishiikaaaa
    @rishiikaaaa Місяць тому

    1:12:11 imp pyq

  • @trickyinsaanvikash8053
    @trickyinsaanvikash8053 Місяць тому +2

    Brahmastra for last time revision

  • @MOYE_moye028
    @MOYE_moye028 2 місяці тому +1

    Thankyou sir maja aya

  • @fun_editz.
    @fun_editz. Місяць тому

    Sir 17 question me reflexive me to ab(b+a)=ba(a+b) hona chahiye tha

  • @kajalsen77
    @kajalsen77 2 місяці тому +1

    Timestamp:- 5:04
    Ek ladki

  • @VENKATESHS.P
    @VENKATESHS.P 2 місяці тому

    13:48 actually started from

  • @nerdgamingcommunity7654
    @nerdgamingcommunity7654 2 місяці тому +1

    Maaja aa gya sir ji😊😊

  • @AyushRaj-u9k
    @AyushRaj-u9k Місяць тому

    bare shi ho sir aap ❤❤❤ aapki padai me majaaa aa jata hai aur kisi teacher se samajh ni aata aapse sab samajh aa jata hai eak baar me

  • @animefusion-db8xv
    @animefusion-db8xv 4 місяці тому +3

    Sir inverse trigonometry

  • @alok7013
    @alok7013 4 місяці тому +4

    Finally

  • @Ashmit-__-
    @Ashmit-__- 2 місяці тому +2

    sir You only say that i will bring question video no this chapter in all video you have said that i will bring question video i am part of this channel since 2022 and at that time they bring what they say but now it is very sad to say but this is very frustrating😢

  • @PriyaSingh-xz9zz
    @PriyaSingh-xz9zz 4 місяці тому +21

    Sir inverse trigonometry kab aaya gai??

  • @kingfaiz489
    @kingfaiz489 10 днів тому

    If I don't know anything about relation and functions is this enough for CBSE board

  • @VenkateswarDharua
    @VenkateswarDharua 4 місяці тому +4

  • @stressfreemusic7199
    @stressfreemusic7199 4 місяці тому +1

    y=x+5 Wale transitive kaise hoga jab b,x h hi nahi

  • @vrushantpatel9920
    @vrushantpatel9920 3 місяці тому

    Skip basics at 13:41

  • @Entity0-un4us
    @Entity0-un4us 22 дні тому +1

    06:10 boy friend boy friend hai🤣🤣

  • @Visitor995
    @Visitor995 3 місяці тому +1

    1:07:24 sir vaha ab( b+a) hoga apne c glti se likha hai ya mai glt hu ....

    • @A..B....123ab
      @A..B....123ab Місяць тому

      You are one of them who found a mistake 🎉

  • @KeshviAggarwal
    @KeshviAggarwal 2 місяці тому

    13:00 Arrow Diagram

  • @Pankaj-f5g
    @Pankaj-f5g 4 місяці тому +3

    13 .1 aro diagram

  • @Chandan-ws5ek
    @Chandan-ws5ek 4 місяці тому +2

    Inverse trigonometric sir

  • @Prashantshukla1269
    @Prashantshukla1269 2 місяці тому +6

    Maths❤ kis kis ka sabse best subject hai 😊

  • @SAKSHITSHETTY
    @SAKSHITSHETTY Місяць тому

    Thank you sir it helped me a lot

  • @MohdRehbar-zm3cs
    @MohdRehbar-zm3cs 3 місяці тому +1

    Sir please 11 class ki math pdha doh paper shuru hona wla hai september se..

  • @cricketwithom-2211
    @cricketwithom-2211 3 місяці тому

    59:31 sir A is give so (a,a) = 0 dose not belong to A there for a is not reflexive

    • @AmarPatel-clr
      @AmarPatel-clr 3 місяці тому

      what is the correct answer bro

    • @madarauchiha12552
      @madarauchiha12552 3 місяці тому

      0 does not have to belong to A. It just needs to be even. That's the relation. Only a needs to belong to A. So the relation is indeed reflexive.

  • @PawanDrall
    @PawanDrall 3 місяці тому +1

    41:50 was op🤣

  • @bhaskarrajbongshi7489
    @bhaskarrajbongshi7489 4 місяці тому +6

    1:53:15 Homework ans = (B)2

    • @mr.camera.indian8707
      @mr.camera.indian8707 3 місяці тому

      How?

    • @sunnyshah2160
      @sunnyshah2160 3 місяці тому

      no it's 1 bro

    • @sunnyshah2160
      @sunnyshah2160 3 місяці тому +1

      @@mr.camera.indian8707 its' one dont worry

    • @OptimusPrime-wc1ff
      @OptimusPrime-wc1ff 2 місяці тому

      N​@@sunnyshah2160is it's one one but ye log kese 2 nikal le rahe hai kahi me hi to galt nahi hu

    • @shreyashawadhuthanchate642
      @shreyashawadhuthanchate642 Місяць тому

      ​@@OptimusPrime-wc1ff answer is 2
      R1 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}
      R2 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1),(2, 3), (3, 2), (1, 3)(3,1)}

  • @Nolansays-wr4zh
    @Nolansays-wr4zh Місяць тому +1

    6:10 talwarbazi💀

  • @asplayz9877
    @asplayz9877 Місяць тому

    13:47