How to Solve JEE Advanced PYQ for a Top 500 Rank...MathonGo | Anup Sir

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  • เผยแพร่เมื่อ 10 ก.พ. 2025
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    Solve a JEE Advanced Problem by Multiple Methods.
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ความคิดเห็น • 271

  • @mathongo
    @mathongo  2 ปีที่แล้ว +137

    Which Method you loved the Most??

  • @AryanRaj-xf1rn
    @AryanRaj-xf1rn 2 ปีที่แล้ว +301

    Method 7: Divide numerator and denominator by z . Then 4z+2/z is purely real. Solving we get |z|^2=1/2

    • @jahnavi1388
      @jahnavi1388 2 ปีที่แล้ว +19

      COOL!!

    • @vedants.vispute77
      @vedants.vispute77 2 ปีที่แล้ว +13

      Yes I did the same

    • @myJNUinediary
      @myJNUinediary ปีที่แล้ว +3

      @@vedants.vispute77 thaks bhaiya

    • @kamranjeetsingh8610
      @kamranjeetsingh8610 ปีที่แล้ว +12

      Nishant Jindal ne jab solutions diye the usne same diya tha I feel like vahi se hi bata raha hai bhai tu

    • @myJNUinediary
      @myJNUinediary ปีที่แล้ว +4

      @@kamranjeetsingh8610 haan sahi h tu

  • @sudhanshuh8850
    @sudhanshuh8850 2 ปีที่แล้ว +28

    thank you so much for this sir, even though I knew the concept of all the 6 methods, never thought of applying it this way which makes me wanna work more deeply!

  • @nitrrstudent
    @nitrrstudent 2 ปีที่แล้ว +538

    jee advanced pyqs are nothing in front of some 2022 mains questions 🥲

    • @srinivasvarkala8268
      @srinivasvarkala8268 2 ปีที่แล้ว +122

      Just for maths

    • @soumya_who
      @soumya_who 2 ปีที่แล้ว +71

      Sahi bola selmon bhai 😭
      I have literally started doing PYQs till 2021 only in maths
      These 2022 questions make me feel dumb af ( already I'm not smart enough in mathematics)

    • @nitrrstudent
      @nitrrstudent 2 ปีที่แล้ว +29

      @@srinivasvarkala8268 obviously Bhai , PC ki itni aukat nhi hai 😂😂 except that flux wala question

    • @nitrrstudent
      @nitrrstudent 2 ปีที่แล้ว +18

      @@soumya_who same bruhh , 2021 walo tk confidence high thaa but 2022 wala attempt krke lg rha ki aaj tk kuchh nhi padhai krri

    • @m.s.dawood6985
      @m.s.dawood6985 2 ปีที่แล้ว +44

      POV:you never solved single jee adv pyq
      🤣

  • @Deepakpatil987
    @Deepakpatil987 2 ปีที่แล้ว +31

    Shortcut method :
    Z=a+ib ; (b not equal to zero) but ( a can be zero) therefore Z=ib , by puting it ,eqn simplifies

    • @IITian_Shivamm
      @IITian_Shivamm 11 หลายเดือนก่อน +2

      It's not a reliable method 🙂

    • @noelgeorgi3313
      @noelgeorgi3313 10 หลายเดือนก่อน +1

      ​@@IITian_Shivamm It's not at all reliable, if the solution was in z (polynomial of z), then there may not be a purely imaginary z that would satisfy the condition. But luckily the solution is in |z| allowing all type of complex numbers

  • @pqrs928
    @pqrs928 2 ปีที่แล้ว +8

    Sir my method was too cheap i think cuz what i did was ( 1:41 )
    Since its a real number i just thought if 2+4z^2 become 0 in numerator and denominator then we'll be left with 3z/-3z which is -1 which is purely real
    So i just put 2+4z^2=0 so 4z^2=-2 So mod z^2=1/2

  • @Nem22Paras23
    @Nem22Paras23 2 ปีที่แล้ว +21

    The methods were mind-blowing ❤️

  • @harshbaria1947
    @harshbaria1947 2 ปีที่แล้ว +12

    Haats off to both Iqbal sir and Anup Sir for their Efforts ❤️

  • @SakshamSrivastava-dv5rl
    @SakshamSrivastava-dv5rl 2 ปีที่แล้ว +5

    Quadratic and conjugate pair is the best method I found,,,and putting zero is also the awesome method....

  • @Devhes
    @Devhes 2 ปีที่แล้ว +49

    I haven't properly studied complex numbers yet, I am unable to solve even mains level properly. But ironically enough, when I first saw the question, what came to mind was what you did as method five, that put a smile on my face but I know it's nothing to be happy about. Yet it's reassuring I at least have a good thought process now which I certainly didn't have before. I am a student at your ongoing crash course and I believe it's thanks to it that I was able to improvise at mathematics so much in a matter of months. Thanks a lot sir 🙏

    • @8BitGamerYT1
      @8BitGamerYT1 2 ปีที่แล้ว +1

      amazing bro

    • @Charlie0308
      @Charlie0308 ปีที่แล้ว

      No it's commendable! Good job!

    • @Devhes
      @Devhes ปีที่แล้ว

      @@Charlie0308 Thank you, means a lot when I have advance coming up

    • @Devhes
      @Devhes ปีที่แล้ว

      @@8BitGamerYT1 Thank you

    • @extremeusace4189
      @extremeusace4189 ปีที่แล้ว

      @@Devhes how much in mains

  • @mostlytrue6823
    @mostlytrue6823 2 ปีที่แล้ว +11

    Sir I would like to add one more methods
    We will assume it to be rcosx+irsinx
    With would make the calculation even simpler
    Everything that's related to learning new methods comes from experience and this was an amazing video and the last method was really nice but we were able to do that because be knew it would be 1/2 and not due to hit and trial(by putting -1)

  • @gopalmishra8441
    @gopalmishra8441 ปีที่แล้ว +5

    i don't know why but i am loving this ..and getting much confidence in maths .....i know i could have done better in maths in mains but i never gave time to the subject which demands most of time but i promise i will rock in maths in jee advance 2023

  • @Anonymous-lw5lw
    @Anonymous-lw5lw 2 ปีที่แล้ว +3

    MEthod 7 use the concept of product of roots in method 6 to get 2/4 = 1/2

  • @itsmanasK
    @itsmanasK 2 ปีที่แล้ว +59

    Sir if possible, please make JEE Advanced Chapterwise PYQ PDFs like you've made for JEE Mains. The PYQ PDFs are available everywhere but they are either Year-wise or filled with errors. That's our need of the hour, I hope you will consider this suggestion of mine.

    • @AarushShah-ec2ce
      @AarushShah-ec2ce 15 ชั่วโมงที่ผ่านมา

      Bro do you know where I can find them pls tell me

    • @itsmanasK
      @itsmanasK 7 ชั่วโมงที่ผ่านมา +1

      @AarushShah-ec2ce No bro. I'm in second year of clg now.🥲
      During that time I had used the Marks app to solve the chapterwise PYQs

    • @AarushShah-ec2ce
      @AarushShah-ec2ce 6 ชั่วโมงที่ผ่านมา

      @itsmanasK is it free of cost?

    • @AarushShah-ec2ce
      @AarushShah-ec2ce 6 ชั่วโมงที่ผ่านมา

      @itsmanasK Thank You bhaiya it worked TYSM❤️

  • @saurra3953
    @saurra3953 2 ปีที่แล้ว +6

    Wow this is sooo cool. I'm gonna try to solve maths ke adv and 2022 ke mains ke questions with such deep thinking too now. Thank u!!

  • @ujjwalsingh6495
    @ujjwalsingh6495 2 ปีที่แล้ว +7

    amazing sir ,pls sir also bring similar for other chaps also that brush our concepts more smoothly

  • @Kartik.Mahnot
    @Kartik.Mahnot 2 ปีที่แล้ว +4

    Meanwhile I am still solving by z = x+iy ☹
    But later I did it by the 7th method using componendo dividendo rule

  • @Mk-yd2hd
    @Mk-yd2hd ปีที่แล้ว +1

    sir Literally mzaa aa gaya
    mai Maths ke lec. nahi lgata , but apke Lagane padenge

  • @xmohitverma
    @xmohitverma 2 ปีที่แล้ว +4

    Method 5 ❤🔥

  • @udaypatel9596
    @udaypatel9596 ปีที่แล้ว +1

    Yes sir, today you have told a quality thing for JEE advanced aspirants.❤❤

  • @spuhdermahn4478
    @spuhdermahn4478 ปีที่แล้ว +2

    SIR PLEASE MAKE CHAPTERWISE PDF'S FOR JEE ADVANCED PYQ'S FROM 2007-2022 LIKE YOU DID FOR JEE MAINS.... MATHONGO REALLY HELPED ME FOR THE JAN ATTEMPT AND I'M SURE IT WILL ONCE AGAIN FOR JEE ADVANCED

  • @shivanshtiwari2942
    @shivanshtiwari2942 ปีที่แล้ว +8

    I have one more method, though it is similar to Method 1..... Put Z=x+iy.... Here y≠0 but there is no constraint on x so put x=0.... Hence, z=iy.... Put in the equation..... Rationalize and put Im(expression)=0
    and you will get |Z|² as 1/2.....
    I believe this is a much simpler and intuitive approach with minimal calculation......

  • @SonuSingh-em6fi
    @SonuSingh-em6fi 2 ปีที่แล้ว +2

    Method 5 is the best i will try by now to solve pyq like this

  • @orangesite7625
    @orangesite7625 2 ปีที่แล้ว +2

    Aur bhi ak simple method hei mere pas
    Vo kaha "z" has non zero img part, take real part zero , so Z= í(k), Z²= -k²
    We get
    ((2-4k²) +(3k)í) / ((2-4k²) -(3k)í)
    It is of form some complex number a/ā so multiply and divide by a ==> a²/a.ā, a² real hei tho img part=0
    (2-4k²)²-(3k)²+2(2-4k²)(3k)í mei img part=0
    So 2(2-4k²)3k=0, k=/=0(question padlo), so k=1/√2
    Z=(1/√2)í then [Z]²=1/2😁😆
    Yeha í means iiota

  • @_adlll._
    @_adlll._ 2 ปีที่แล้ว +5

    IQBAL SIR 💘
    XYLEM💥

  • @Iam_me7
    @Iam_me7 ปีที่แล้ว +1

    Yes mam every session and dpps are done mam 100min dialy doses are done 🔥

  • @iitianaditya
    @iitianaditya 2 ปีที่แล้ว +14

    Anup sir perfectly knows what students need
    I was bit worried about adv 2023 and here's sir to help us

  • @shivamsrivastava664
    @shivamsrivastava664 2 ปีที่แล้ว +11

    Method 2 as later k methods might be easier but sochne me time lgega..
    But method 2 is easier and very commonly used property
    And 2nd last way I loved too

  • @pranavtomar6124
    @pranavtomar6124 8 หลายเดือนก่อน

    I will work hard in learning mode in advance questions......❤❤

  • @AbhayyXays
    @AbhayyXays 9 หลายเดือนก่อน +2

    Le me who has left complex numbers💀

  • @maheshkumardilli3028
    @maheshkumardilli3028 17 วันที่ผ่านมา

    Especially put -1,by observing that one small difference

  • @dhruvjha2776
    @dhruvjha2776 2 ปีที่แล้ว +5

    now i am able to solve 2020 paper questions easily

  • @MathMetropolis
    @MathMetropolis 2 ปีที่แล้ว +5

    Thank you 😊 very much sir for this

  • @SonuSingh-em6fi
    @SonuSingh-em6fi 2 ปีที่แล้ว +2

    I was shocked when sir said to think about another I assumed it to be -1 and very next moment it was so really a good hit and trial😇😅😗

  • @tanushagarwal94
    @tanushagarwal94 2 ปีที่แล้ว

    M8 vectors ,angular bisecter concept, the best method no hit and trial yet solved in a minute

  • @rdbVoltitude
    @rdbVoltitude 11 หลายเดือนก่อน +1

    16:40 sir, how did u do z^2 to be |z|^2, waisa to real mein hota hai

  • @NfbdVdbb
    @NfbdVdbb 11 หลายเดือนก่อน

    Sir please more videos like this for maths🙏 very good explanation 😃

  • @kushagrah_agrawal
    @kushagrah_agrawal ปีที่แล้ว

    Sir, we have another method for solving this, much similar to the last method.
    As mentioned, Z should is an CN with non zero img part. So, just assume Z=ai, a-constant. And the above eqn is a real no, so the img part again should be 0 both the sides. And we let the real part be any no, let x. This x comes out to be -1 after solving, and hence value of Z also comes out to be 1/√2i. This is a superimposed trick of last 2 methods, ig.

  • @Shatranjshersha
    @Shatranjshersha 9 หลายเดือนก่อน

    even simpler method would be ki after nr+dr/nr-dr separate z and another term 1/2z comes,so this kind of gives us a hint ki mod z sq is 1/2 simple

  • @facts-rm8vc
    @facts-rm8vc 11 หลายเดือนก่อน +1

    The last hit and trial method u could have got tht real number to be -1 but taking z to be purely imaginary(instead of hit and trial) after all they only said imaginary part was non zero they didnt even talk abt real part

  • @raw3333
    @raw3333 2 ปีที่แล้ว +3

    Sir today video is liitle bit dark. Increase brightness 🔆 next time

  • @mohammedzishan9179
    @mohammedzishan9179 2 ปีที่แล้ว +1

    I will work hard .

  • @KS2005
    @KS2005 2 ปีที่แล้ว +3

    What should be the approach to solve 2022 Mains problems…..I am facing difficulty in them even after completing a chapter

    • @akshatgupta2233
      @akshatgupta2233 2 ปีที่แล้ว +4

      Yes bro same
      They are tough af😭

  • @aditya1602
    @aditya1602 11 หลายเดือนก่อน

    method 8 jisse 2 second meh hogaya , put z=ki , usse 2-4k^2 +3ik / 2-4k^2 -3ik , ab since real, maine 2-4k2 = 0 krdiya , usse mod z ^2 = 1/2 aagayi . It clciked when they said imaginar part isnt 0 , toh purely im rakhdiye

  • @jpgajraj7340
    @jpgajraj7340 11 หลายเดือนก่อน

    Brilliant solution sir😊😮❤❤

  • @Ankur380
    @Ankur380 2 ปีที่แล้ว +1

    When I saw the ques here ,firstly I thought let's try to form quadratic😁 ,thankyou sir ,watching this analysis was worth it

  • @sayantansarkar3999
    @sayantansarkar3999 2 ปีที่แล้ว +2

    sir when Jee Adv 2023 test series will be launched?

  • @yashwanthvuppala4835
    @yashwanthvuppala4835 2 ปีที่แล้ว +2

    Sir ur doing great, please launch jee adv coruse in January 😇.

  • @xylemian_2023
    @xylemian_2023 2 ปีที่แล้ว +4

    Proud to be a Xylemian🔥

    • @_adlll._
      @_adlll._ 2 ปีที่แล้ว

      💥

  • @Patil2427
    @Patil2427 ปีที่แล้ว +1

    Thank you sir ❣️

  • @exploringtechwithiitian
    @exploringtechwithiitian 2 ปีที่แล้ว +3

    Sir which book provides pyqs with different methods

  • @SAM-vm7fo
    @SAM-vm7fo 10 หลายเดือนก่อน

    Thank you very much sir please make more videos like this sir so that we can strengthen our concepts

  • @satyam99999
    @satyam99999 2 ปีที่แล้ว

    All the methods were AMAZING but THE SECOND LAST was THE BEST

  • @vedantgupta6245
    @vedantgupta6245 ปีที่แล้ว

    Take z simply as an imaginary no. As nothing was said about the real part... Then too it goes similar to M-1 yet a lot easier

  • @ggnanadharshini3137
    @ggnanadharshini3137 2 ปีที่แล้ว +1

    sir Compenendo dividendo which makes a short complex number

  • @shamitshah5765
    @shamitshah5765 2 ปีที่แล้ว

    Sir another method is to use componendo dividendo followed by putting 1/z = z bar / (mod z)^2 and equating imaginary part to 0 to directly get answer.

  • @hitarthshah5549
    @hitarthshah5549 2 ปีที่แล้ว

    5th method dekhkar goosebumps aa gaye...!

  • @sahafmfaisal
    @sahafmfaisal 2 ปีที่แล้ว +3

    Iqbal sir 💚

  • @the_kk1326
    @the_kk1326 11 หลายเดือนก่อน

    Method 5 was 🔥🔥🔥🔥

  • @anirudhathakur7350
    @anirudhathakur7350 2 ปีที่แล้ว

    This similar type of question was in our class notes (obv before adv 2022) and our teacher taught us Method 3 there, so idhar bhi mujhe M1, M2 and M3 most probably strike hue they, but best method for me in an exam hall would be M3 (coz vahi strike hota mujhe😂😂)

  • @VANSHKUMAR0010
    @VANSHKUMAR0010 ปีที่แล้ว +1

    BEST complex no. one shot...ever😂🙃

  • @corona3796
    @corona3796 2 ปีที่แล้ว

    What an amazing video. It's kind blowing especially last method. Tysm

  • @swEEtEnEd_Evil
    @swEEtEnEd_Evil ปีที่แล้ว

    I knew till method 2 and was amazed by method 5

  • @bigdenergy937
    @bigdenergy937 2 ปีที่แล้ว

    Constraint only on the imaginary part so we can assume z=0+bi, and solve. (sorry if this method was already told by sir, just saw the last method)

  • @JeeAspirant-z1o
    @JeeAspirant-z1o ปีที่แล้ว

    Sir chapter wise mock dena chahiye ya pyq as mock?

  • @bhaveshpradhan4099
    @bhaveshpradhan4099 10 หลายเดือนก่อน +5

    If we put 1 in last method, we get 0
    PLS HELP

    • @SrinivasPatro-g8p
      @SrinivasPatro-g8p 10 หลายเดือนก่อน

      yes lol

    • @Vcat15
      @Vcat15 11 วันที่ผ่านมา

      Yes but we won’t consider that because it is given that Z has non zero imaginary part

  • @aashutosh.mishra
    @aashutosh.mishra 2 ปีที่แล้ว +2

    Thank you sir, you are amazing

  • @jeeaspirant1524
    @jeeaspirant1524 2 ปีที่แล้ว +1

    sir what about the mathongo pyq book?? will it be available by this sunday?? and will it contain every maths question of 2019-2022 with solutions??

  • @priyanshshukla4799
    @priyanshshukla4799 ปีที่แล้ว

    Sir I was able to figure out the last method,so happyyyyy

  • @iaor5842
    @iaor5842 2 ปีที่แล้ว

    Put t=-1 in hit and trial, solves instantly

  • @AnandYadav-vc6yg
    @AnandYadav-vc6yg ปีที่แล้ว

    sir we can do so but tym bhot lgta hai ese har ek ke mathods ko sochne me like if u can tell any standard tym?

  • @umang7303
    @umang7303 ปีที่แล้ว +1

    Sir I can say there are 7-8 questions in MAINS which can be solved by cheat method i always use it though not proud of it😅

  • @vinayakmamtani
    @vinayakmamtani 11 หลายเดือนก่อน

    If in the same ques it said purely imaginary we will take the whole to be 1 right?

  • @khabrisingh1674
    @khabrisingh1674 2 ปีที่แล้ว

    Sir Mera Syllabus 20 Dec Ko khatam ho rha hai but practice around 20-25 % hain kya karu main abb please bataiye or konsa material solve kruu

  • @kalkigoat8437
    @kalkigoat8437 2 ปีที่แล้ว +1

    Sir aap bohot help krte ho meri

  • @Aspro_iitg
    @Aspro_iitg ปีที่แล้ว

    Sir at the first time I have solved by method 5

  • @rahulshendre7089
    @rahulshendre7089 2 ปีที่แล้ว

    Advanced pyq are very imp as there aren't a lot of advanced q
    so we must make the most of every q

  • @ME_AHMAD178
    @ME_AHMAD178 ปีที่แล้ว

    Thank you very much sir

  • @raniponugoti3413
    @raniponugoti3413 2 ปีที่แล้ว +1

    Method 5

  • @edupath2824
    @edupath2824 2 ปีที่แล้ว

    just wow😮

  • @afridbasha7547
    @afridbasha7547 9 หลายเดือนก่อน

    Put z=iy within 1 min u get ans

  • @arnav5759
    @arnav5759 ปีที่แล้ว

    Sir always put the actual picture of jee maths in front of us

  • @satyakesadhukhan
    @satyakesadhukhan 2 ปีที่แล้ว

    It keeps getting better.

  • @vanshkabra3499
    @vanshkabra3499 2 ปีที่แล้ว

    Sir jee mains ke bhi questions ase hi solve karne h kya

  • @Kumardhruv308
    @Kumardhruv308 2 ปีที่แล้ว

    How to prepare for jee advanced and cutoff pls sir jee advanced decoding video pls sir and thanks for always help ❤️

  • @HarmonicProgrammer21
    @HarmonicProgrammer21 2 ปีที่แล้ว

    I had got the 6th trick but when I got z^2 = -1/2 I thought how can a square be negative and then unpaused the video... And what I found ???
    You guys know that..

  • @dhruvjha2776
    @dhruvjha2776 2 ปีที่แล้ว

    thankyou sir for marks app, i have completed top 500 questions

  • @kesariyt5696
    @kesariyt5696 ปีที่แล้ว

    Last step was totally absurd that it even worked 😂😂

  • @ankitamishra3230
    @ankitamishra3230 ปีที่แล้ว

    Sir yeh hit and trial...is not that reliable because if I assume the real number to be 1 then you are not getting the answer...so I would suggest not to pick the cheat method

  • @GauravSingh-wv5id
    @GauravSingh-wv5id 2 ปีที่แล้ว

    But sir if we think every question with different methods it will consume almost 2 to 3 times more time.......

  • @Akash_Shaw
    @Akash_Shaw 2 ปีที่แล้ว

    Sir please make a video explaining tpc, given on information Bulletin page 45 and appendix IV

    • @Fivekey100
      @Fivekey100 2 ปีที่แล้ว +1

      jitna mai pata kar paya... ye cheez 2018 ya 19 mein laye the aur fir shayad bhool gye ki aisa kuchh hai... kyunki nta site pe mujhe to koi option nhi mila as student register karne ka

    • @Akash_Shaw
      @Akash_Shaw 2 ปีที่แล้ว +1

      @@Fivekey100 classic nta move
      thanks

  • @biradarvenkatesh
    @biradarvenkatesh 11 หลายเดือนก่อน

    with pen and paper

  • @vasubhalani3938
    @vasubhalani3938 2 ปีที่แล้ว +1

    Method 5 . Apne kya socha hai

  • @neetaagarwal1234
    @neetaagarwal1234 ปีที่แล้ว

    Sir can we solve every pyq with more than one method

  • @pritinathawat8675
    @pritinathawat8675 2 ปีที่แล้ว

    Thank you sir

  • @Nem22Paras23
    @Nem22Paras23 2 ปีที่แล้ว +1

    Where does Respected Iqbal sir teach ?
    Is he a member of your Department ?

  • @veerdosi
    @veerdosi ปีที่แล้ว +1

    One more method of taking z=iy

  • @JohnDoe-hl2qm
    @JohnDoe-hl2qm ปีที่แล้ว

    last two methods op op op op op op op!!!!!!!

  • @Msdofc
    @Msdofc 2 ปีที่แล้ว +1

    Me who is able to solve advanced pyqs but not able to solve 2022 Mains pyqs ( Maths ) 🥲

  • @yashbindra2386
    @yashbindra2386 2 ปีที่แล้ว

    Sir could you pls lauch a Course where you could teach us how to solve a question using different methods