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

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  • Опубліковано 7 вер 2024
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    Relations and Functions One Shot 2024-25 | Class 12 Maths NCERT Explanation with Ushank Sir
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КОМЕНТАРІ • 224

  • @scienceandfuneducation
    @scienceandfuneducation  2 місяці тому +108

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

    • @Dead._edit-el9ws
      @Dead._edit-el9ws Місяць тому +2

      sir differentiability kerva do sir pls sir

  • @God_f-777
    @God_f-777 Місяць тому +247

    Fun Fact : now you can triple likh to reply

  • @onspike5830
    @onspike5830 2 місяці тому +109

    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

  • @Ishant-y5v
    @Ishant-y5v 2 місяці тому +574

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

  • @AryanSharma-nf9nj
    @AryanSharma-nf9nj Місяць тому +99

    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 2 місяці тому +98

    Vote for Inverse Trigonometric Function 👇👇👍

  • @user-ui2eo7tf1z
    @user-ui2eo7tf1z 2 місяці тому +107

    Sir inverse trigonometry ka ek video banado

  • @AakashDeep
    @AakashDeep 5 днів тому +4

    Q1)
    F: N--N f(x)= x^2
    One one, not onto
    Q2)
    F: Z--Z f(x)= x^2
    Many one, not onto
    Q3
    F: N--N f(x)= x^3
    One one, not onto( kisi ka cube 2 nahi dega)
    Q4
    F: R--R f(x)= x^3
    One one, onto
    Q5
    R--R f(x) =[x]
    Many one, not onto
    Q6
    R--R f(x)=|x|
    Many one -1 or 1 = 1
    Not onto
    Q7
    R--R f(x) =3-4x
    One one, onto
    Linear equations has infinite no of solution
    Q8)
    R---R f(x) = 1+x^2
    Many one
    Not onto

  • @yasxhh
    @yasxhh 2 місяці тому +31

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

    • @OpGamer-io3th
      @OpGamer-io3th 2 місяці тому +4

      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 2 місяці тому

      Bro hmara me toh 30 lecture hai😅

    • @aryavardhan1201
      @aryavardhan1201 2 місяці тому +2

      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 2 місяці тому +2

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

    • @aryavardhan1201
      @aryavardhan1201 2 місяці тому +1

      @@yasxhh thanks 🙏

  • @Aryan_jaggi_urf_AJRambo
    @Aryan_jaggi_urf_AJRambo 2 місяці тому +39

    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 24 дні тому +11

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

  • @Priya-gn1xr
    @Priya-gn1xr 2 місяці тому +63

    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 Місяць тому

      Totivation bnd kro😂

    • @Priya-gn1xr
      @Priya-gn1xr Місяць тому +1

      @@Yadav444 kya

    • @Yadav444
      @Yadav444 Місяць тому

      @@Priya-gn1xr ye faltu ki shayiri bnd karo

    • @Priya-gn1xr
      @Priya-gn1xr Місяць тому

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

    • @harshitmathpal7197
      @harshitmathpal7197 9 днів тому +1

      😂​@@Priya-gn1xr

  • @codewithkush4508
    @codewithkush4508 12 днів тому +4

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

    • @sasukegaming8289
      @sasukegaming8289 10 днів тому

      how can u explain

    • @fullgaming397
      @fullgaming397 7 днів тому

      @@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

  • @kapilkashyap-fc1sh
    @kapilkashyap-fc1sh 2 місяці тому +28

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

  • @RobinMechu
    @RobinMechu Місяць тому +5

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

    • @RohanGupta-rh4xi
      @RohanGupta-rh4xi 27 днів тому +2

      Wrong answer hai. Elements ki position change hogi

  • @_jigs
    @_jigs 2 місяці тому +10

    Short and crisp lecture.Good for revising basics

    • @Priya-io2gb
      @Priya-io2gb 11 годин тому

      Not good for studying for the first time?

  • @CSH0021
    @CSH0021 Місяць тому +4

    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 Місяць тому

      Brother how?

    • @bhaweshjha912
      @bhaweshjha912 Місяць тому +4

      (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 Місяць тому

      @@bhaweshjha912 thanks buddy

    • @bhaweshjha912
      @bhaweshjha912 Місяць тому +1

      @@animefusion-db8xv 😌✌🏻

  • @unmeshmaurya3257
    @unmeshmaurya3257 День тому +1

    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?

  • @beatzz333
    @beatzz333 Місяць тому +11

    Exam se 1 din phele padhe wale 😅😂😂😂😂😂

  • @samycreativewarrior8398
    @samycreativewarrior8398 2 місяці тому +7

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

  • @realshrysnh
    @realshrysnh 2 місяці тому +6

    1:53:15 homework answer - 2

  • @PriyaSingh-xz9zz
    @PriyaSingh-xz9zz 2 місяці тому +19

    Sir inverse trigonometry kab aaya gai??

  • @alok7013
    @alok7013 2 місяці тому +7

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

    • @commerceandfun
      @commerceandfun 2 місяці тому

      Already uploaded plz check

    • @rishi2182
      @rishi2182 2 місяці тому +2

      bhai kab ke wa chuke

  • @kapilkashyap-fc1sh
    @kapilkashyap-fc1sh 2 місяці тому +4

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

  • @MamtaJain-vu2qy
    @MamtaJain-vu2qy 2 місяці тому +13

    Sir any one of these is the main question

  • @OpGamer-io3th
    @OpGamer-io3th 2 місяці тому +4

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

    • @NoobPro24boi
      @NoobPro24boi 2 місяці тому

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

    • @OpGamer-io3th
      @OpGamer-io3th 2 місяці тому

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

    • @arabindamohapatra2550
      @arabindamohapatra2550 2 місяці тому

      Yes @OpGamer-io3th I agree strongly with your point

    • @arabindamohapatra2550
      @arabindamohapatra2550 2 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 2 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.

  • @Yashikesiyappe
    @Yashikesiyappe 2 місяці тому +8

    Continuity and differentiability

  • @gauribhardwaj900
    @gauribhardwaj900 3 дні тому

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

  • @shreyansh_kothari
    @shreyansh_kothari 6 днів тому

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

  • @piyalol1423
    @piyalol1423 2 місяці тому +5

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

  • @zai___ziaahmad786
    @zai___ziaahmad786 22 дні тому +1

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

  • @ambika1209
    @ambika1209 2 місяці тому +8

    Sir applications of derivation kra do ek baar

  • @hitarth480
    @hitarth480 Місяць тому +1

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

  • @scieNtificiiTianClassXII
    @scieNtificiiTianClassXII 2 місяці тому +4

    Vote 4 itf class 12 👉👉👉👉👉👍

  • @7gcreations
    @7gcreations 2 місяці тому +8

    Jai hind sir ❤

  • @AakashDeep
    @AakashDeep 5 днів тому

    Q1 ) F: N--N f(x)= x^2
    One one, not onto
    For every y belongs to N there don't exist and elements x in N such that f(x) = 2
    F^n is not onto

  • @basharat_09
    @basharat_09 Місяць тому +2

    20:26 Softly by Karan Aujla

  • @user-tb7gs8px8u
    @user-tb7gs8px8u 20 днів тому +2

    Thankyou sir ❤🎉

  • @siddharthgamerz2573
    @siddharthgamerz2573 2 місяці тому +4

    39:07 yes sir transitive hai..

  • @Shreyash-qq4le
    @Shreyash-qq4le Місяць тому +2

    53:05 sir agar x and y lesbian couples hai to

  • @IITJEE2025-uf4nz
    @IITJEE2025-uf4nz 28 днів тому +2

    plz watch at 2x 41:46

  • @omdiwakar8901
    @omdiwakar8901 2 місяці тому +2

    Thank you sir, this video has helped me a lot

  • @taufeeqalam2687
    @taufeeqalam2687 19 днів тому +1

    54:07 normal circumstances

  • @Brokenheart-dn9gg
    @Brokenheart-dn9gg 2 місяці тому +4

    Best math teacher ❤❤❤❤❤❤❤

  • @bhaskarrajbongshi7489
    @bhaskarrajbongshi7489 2 місяці тому +6

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

  • @accidentallygenius69
    @accidentallygenius69 Місяць тому +3

    1:05:02 sir usse best mtg ki board ki book hai

  • @JOJO-nm9vn
    @JOJO-nm9vn 2 місяці тому +3

    Thank you sir bahat maja aagya.

  • @padhaiekmazza4296
    @padhaiekmazza4296 2 місяці тому +4

    inverse trigonometric function

  • @aniketaniket-ho1gv
    @aniketaniket-ho1gv 2 місяці тому +3

    13:01 Arrow diagram

  • @Ashmit-__-
    @Ashmit-__- 27 днів тому +1

    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😢

  • @animefusion-db8xv
    @animefusion-db8xv Місяць тому +3

    Sir inverse trigonometry

  • @user-ls2eq2xi1z
    @user-ls2eq2xi1z 2 місяці тому +5

    37.37 No

  • @kajalsen77
    @kajalsen77 6 днів тому +1

    Timestamp:- 5:04
    Ek ladki

  • @user-ls2eq2xi1z
    @user-ls2eq2xi1z 2 місяці тому +5

    44.2 No

  • @RajeshMishra-rb7eo
    @RajeshMishra-rb7eo Місяць тому +1

    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 ❤

  • @PrashantPandit1269
    @PrashantPandit1269 24 дні тому +5

    Maths❤ kis kis ka sabse best subject hai 😊

  • @PalguniS
    @PalguniS 2 місяці тому +1

    Sir next lecture please INVERSE TRIGONOMETRIC FUNCTIONS 🙏🙏🙏🙏

  • @raghavandrasinghthakur3005
    @raghavandrasinghthakur3005 Місяць тому

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

  • @THEMOTIVATION222
    @THEMOTIVATION222 2 місяці тому +3

    Thanku

  • @memeverse-n9r
    @memeverse-n9r 21 день тому

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

  • @AniruddhaRoy-pf8tw
    @AniruddhaRoy-pf8tw Місяць 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

  • @ShivanshMall-kb8zr
    @ShivanshMall-kb8zr 2 місяці тому +1

    ❤ thankyou sir

  • @rishabbhattacharya1435
    @rishabbhattacharya1435 Місяць тому

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

  • @user-rp5xq1pt4t
    @user-rp5xq1pt4t 2 місяці тому +4

  • @Chirag_malik089
    @Chirag_malik089 Місяць тому +2

    Savage sir 😂😂

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

    Inverse trigonometric sir

  • @stressfreemusic7199
    @stressfreemusic7199 2 місяці тому +1

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

  • @shubhmehrotra28
    @shubhmehrotra28 3 дні тому +1

    Sir paper aa rahe gaa most important questions please ❤❤

  • @alankritkrishna8058
    @alankritkrishna8058 Місяць тому +1

    thank you for one short

  • @alok7013
    @alok7013 2 місяці тому +4

    Finally

  • @sanjeetadeepak7945
    @sanjeetadeepak7945 2 місяці тому +1

    Sir plz application of derivatives bana do😢

  • @AnkitChaudhary-iy7iz
    @AnkitChaudhary-iy7iz 2 місяці тому +2

    Sir differentiation karao aur integration

  • @ShubhMehar
    @ShubhMehar 2 місяці тому +2

    12th board rankers

  • @accidentallygenius69
    @accidentallygenius69 Місяць тому +2

    53:48 sir waise shipa kon hai 🌝🌝🌝

    • @palludabui6393
      @palludabui6393 Місяць тому

      sir ki wife h unhone bata to dia

    • @accidentallygenius69
      @accidentallygenius69 Місяць тому

      @@palludabui6393 unka naam shilpa hai sir ne shipa likha tha .....

    • @palludabui6393
      @palludabui6393 Місяць тому +1

      @@accidentallygenius69 kya hi farak padta h bhai padhne aaye h toh padh hi lete h

  • @KeshviAggarwal
    @KeshviAggarwal 4 дні тому

    13:00 Arrow Diagram

  • @ashgaming2451
    @ashgaming2451 4 дні тому

    30::11 sir 3,1 ha 1,2 h lekin 3,2 nhi h isme to transitive kaise hua ye??? Pls koi bhi iska reply krdoooo🥶👍👍

  • @Unfiltered_Aryann
    @Unfiltered_Aryann Місяць тому +1

    Fun fact you can double tap to like comment and triple tap to reply

  • @shivamprasad6582
    @shivamprasad6582 Місяць тому +1

    Lecture kai notes kaha milanga sir

  • @user-ls2eq2xi1z
    @user-ls2eq2xi1z 2 місяці тому +3

    13 .1 aro diagram

  • @RitikaSingh-xl8lp
    @RitikaSingh-xl8lp 2 місяці тому +1

    sir jaldi se inverse trigonometry bhi padha dijiye

  • @MunindraJha-vf4wx
    @MunindraJha-vf4wx 15 днів тому

    Sir PT ke baad comment kar rahi hoo
    Bahut fayda hua iss lecture ka mujhe
    I hope so 20 out of 17 aa jaae
    3MCQ galat ho gaye😢

  • @puneetubyt528
    @puneetubyt528 2 місяці тому +2

    Sir 11 Class ke leye kab ayega

  • @rimplejindal8637
    @rimplejindal8637 Місяць тому

    1:53:22 answer is b 2

  • @education-zone._9-11
    @education-zone._9-11 19 днів тому +1

    Rishta bnane ke liye ladki chahiye 💀

  • @VENKATESHS.P
    @VENKATESHS.P 26 днів тому

    13:48 actually started from

  • @vrushantpatel9920
    @vrushantpatel9920 Місяць тому

    Skip basics at 13:41

  • @samridhijain6596
    @samridhijain6596 2 місяці тому +1

    Sir ne apne glt answer kr rkhe hai 1.1 mai 2nd or 3rd part transitive nhi hoskte

  • @himoghnoghosh2055
    @himoghnoghosh2055 24 дні тому

    Sir I want to join your batch in your aap but only for maths pls help me sir

  • @Aditya-xe6uq
    @Aditya-xe6uq 2 місяці тому

    thankyouuu sir best lecture❤❤

  • @user-lp7uw1ph9h
    @user-lp7uw1ph9h Місяць тому +1

    41:50 was op🤣

  • @user-vg7lp5fi1v
    @user-vg7lp5fi1v Годину тому

    Thanks

  • @shikhu3040
    @shikhu3040 26 днів тому

    Sir isse 12 th board mei pakaa acha no. Ayega naa sir because sirr yeh 1 shot hai toh thoda doubt horaha hai

  • @revengegamery1541
    @revengegamery1541 Місяць тому

    Sir Exercise 1.1 Q1 v) samjh aa gya but likh nhi paa rhe pls help

  • @Srishtisingh-hl3zl
    @Srishtisingh-hl3zl 8 днів тому

    Sir equivalence class do element ka nikalne me problem aa rahi h

  • @kakashi_hatake-07
    @kakashi_hatake-07 2 місяці тому

    Inverse Trigono Fnx Video (Like the comment) ❤❤❤

  • @GaneshKharade-zw1dt
    @GaneshKharade-zw1dt 2 місяці тому +1

    Inverse trigo

  • @InfinityMotivation-ot4oo
    @InfinityMotivation-ot4oo Місяць тому

    Sir 1:35:22 all negative no. are vele so not onto hoga na

  • @ankit4945
    @ankit4945 2 місяці тому

    can anyone tell me which chapter should i start first in maths class 12th

  • @Visitor995
    @Visitor995 Місяць тому

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

  • @atomar233
    @atomar233 Місяць тому

    40:04 sir R is not transitive