Solved wrong in 𝗖𝗼𝗮𝗰𝗵𝗶𝗻𝗴 𝗧𝗲𝘀𝘁 ❌

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  • čas přidán 6. 09. 2024
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Komentáře • 129

  • @1254v
    @1254v Před měsícem +49

    log(a^2)=2log(a) ❌
    log(a^2)=2log(|a|)✅

  • @tuhinsubhraghosh9760
    @tuhinsubhraghosh9760 Před měsícem +29

    Sir you are "Great" ....Because of you, I developed interest in mathematics...The way you approach the problems is really amazing...Keep teaching in the same way for years and years.........❤❤❤❤

  • @aartibansal3899
    @aartibansal3899 Před měsícem +30

    Sir i have paused the video at 10:00 and want to tell the mistake
    The mistake is that if power of y comes in front as the coefficient of logarithm then we need to put a modulus sign on y because as per question y can take negative values as well and argument of logarithm can't be negative. This is the problem in the solution.

    • @ballPool-tj7nq
      @ballPool-tj7nq Před měsícem +2

      Ye sirf even powers mai hoga na odd power mai to mod nhi aega ? Confirm kardo

    • @vivekdubey8354
      @vivekdubey8354 Před měsícem

      @@ballPool-tj7nq nahi, odd powers me mod nahi ayega.
      ln (x^(2n)) = 2n.ln (|x|)
      ln (x^(2n+1)) = (2n+1).ln x

  • @shampa364
    @shampa364 Před měsícem +12

    The thumbnail though 💀

  • @NexInspireHub
    @NexInspireHub Před měsícem +17

    The Property You Applied, in which you put the power in front, i only valid when we can make sure that after shifting the power the log is still defined, but in this case when you put '2' in front at that time log y is not defined in [-10, 0). So we can't put the power in front, we have proceed it using mod or as it is

    • @uguess3609
      @uguess3609 Před měsícem

      Yesss same doubt.

    • @NexInspireHub
      @NexInspireHub Před měsícem +6

      @@uguess3609 That's Not Doubt Bro, Sir asked where did i do wrong, i am telling him where he did wrong.

    • @pleasejustlmb
      @pleasejustlmb Před měsícem

      @@uguess3609 abey pagal h kya.

  • @bshm_y
    @bshm_y Před měsícem +17

    Kash inka.... PYQ's course thoda sasta me mil jata

  • @SnehaRay-q8b
    @SnehaRay-q8b Před měsícem +69

    VOTE FOR LECTURES ON NUMBER THEORY FOR ISI/CMI 👇👇👇

    • @AmlanSarkar-wr2pr
      @AmlanSarkar-wr2pr Před měsícem +1

      I also need the same bro as I am an ISI/CMI aspirant.

    • @utkarshpal1792
      @utkarshpal1792 Před měsícem +2

      Yes I also need

    • @Benzene42
      @Benzene42 Před měsícem +1

      Ye hai kya

    • @AmlanSarkar-wr2pr
      @AmlanSarkar-wr2pr Před měsícem +4

      @@Benzene42 Bhai Kabhi bhi Indian Statistical Institute ka naam suna hai aur Chennai Mathematical Institute ka naam? Jaan lo a6 se taab pata chalega kya cheez hai I can guarantee these 2 institutes>>>>>>>>>>>>>>>>>IIT Bombay.

    • @KPISEASON353
      @KPISEASON353 Před měsícem +1

      ​@@AmlanSarkar-wr2prmat batao bhai in chomuo ko, nhi toh befaltu me competition badh jayega

  • @arpitchauhan2147
    @arpitchauhan2147 Před měsícem +5

    This concept is used used in one of the problems of black book... But i was not able to identify the mistake

  • @smitpatel5107
    @smitpatel5107 Před měsícem +5

    Y ki power ko directly aage nai la sakte,kyuki y to negative bhi hai,given interval mein... Sir aap ne jab vo pehili baar step likha tha na,tab hi maine uss mistake ko identify kar liya tha... You are great sir ❤❤

  • @KushalKalita-yf3yd
    @KushalKalita-yf3yd Před měsícem +2

    Someone solve it- (i) log of (x+y) to the base 3 plus log of (x-y) to the base 3 equal to 1.
    (ii)2^(y/x+x/y) equal to 32

    • @Iamarealdiamond3
      @Iamarealdiamond3 Před měsícem +1

      ​@@KushalKalita-yf3ydAre you mental? This is not a board exam in which if we solve any problem in easier way then we will lose marks. It is MCQ exam, it is numerical value exam. We can use any method, and graph method is the easiest. Why you think so much? Remember one thing, you will remember it well. Remember many, you will be confused.

    • @KushalKalita-yf3yd
      @KushalKalita-yf3yd Před měsícem

      I apologise you for my mistake ,you solve it which you think better

  • @atharvsharma7648
    @atharvsharma7648 Před měsícem +1

    10:00
    2 hatake mod y likhna prega, 8 values positive vali as well as negative vali side hogi and total solutions 16 honge...jus like x^2>p jab hota hai tab ya to a^2-b^2 se wavy curve lagado, ya direct mod x>sqrt(p) se evaluate krdo...

  • @kdhd100
    @kdhd100 Před měsícem +30

    I am sure NTA answer sheet will have the solution as 8.....

    • @thyagarajtrt1411
      @thyagarajtrt1411 Před měsícem

      Than even that's wrong

    • @darshanlal263
      @darshanlal263 Před měsícem

      Then the Indian teachers would have to rebel for this

    • @ThorfinnBus
      @ThorfinnBus Před měsícem +4

      Real bro.. and even if we challenge they will pretend they are correct. This year I lost 15 marks without making a mistake in one exam.

    • @kdhd100
      @kdhd100 Před měsícem +4

      NTA would argue that since the coaching book answer is 8 the answer is 8..... End of conversation.....

  • @ssgamer5693
    @ssgamer5693 Před měsícem +2

    The inequality will never be satisfied by exactly 1 value of x,if it is satisfied there will be infinitely many values of x satisfying that inequality....
    Question ko teda karke pucha hai

  • @prajjawal4148
    @prajjawal4148 Před měsícem +3

    Sir is solution me jb aapne y² me se 2 ko aage nikal liya tha y ki jo kuch values negative ho skti thi uski possibility khatam ho gyi since tb agr y me negative values nhi dal skte since vo out of domain ho jayega...
    Mujhe to yahi galti dikhi sir...ab mai aage ka video dekhne ja rha hu...

  • @rudrajadhav679
    @rudrajadhav679 Před měsícem +4

    Great Sir 🤩🤩 Your Concepts are deeply strong

  • @dhairyagajjar8899
    @dhairyagajjar8899 Před měsícem +3

    Sir i did it by perfect square
    And then got the ans

  • @Gopi12392
    @Gopi12392 Před měsícem +2

    Solve this pls in next video:
    1)Prove that:
    (sinA.sin2A+sin3A.sin6A)/(sinA.cos2A+sin3A.cos6A)=(3tanA+2tan^2A+2tan^3A-6tan^4A-tan^5A)/(1-2tan^2A-6tan^3A-3tan^4A+6tan^5A)

  • @bhavdeepsingh..
    @bhavdeepsingh.. Před měsícem

    On first screen. When we apply the most common log identity. It should be mod of y instead of just y. So at last step there will be 16 integers

  • @harshitverma7814
    @harshitverma7814 Před měsícem +2

    10:03 sir mujhe lg rha h ki question mein y^2 hai to y ki jo values positive mein hai vahi negative mein bhi valid hongi

  • @SamarthPatil-my5mh
    @SamarthPatil-my5mh Před měsícem

    Sir ive paused the video at 9:51
    The main reason why its wrong because whenever we have even powers of a variable in logarithm, while using the property we will have to apply modulus to satisfy the domain of the logarithm😊

  • @Jee2025-oz1zs
    @Jee2025-oz1zs Před měsícem +4

    Sir iota = iota power 4/4
    Iota =1power 1/4
    Iota = 1
    How is it possible sir i just thought of this when I was doing revision of complex no
    Where is the catch??????????????

    • @Root1729
      @Root1729 Před měsícem +2

      Mistake is that 1^1/4 is not 1 here

    • @Jee2025-oz1zs
      @Jee2025-oz1zs Před měsícem +1

      @@Root1729 why??

    • @Root1729
      @Root1729 Před měsícem

      @@Jee2025-oz1zs there will be 4 values and only iota satisfy , learn complex numbers bro then ask doubts

    • @adstudypoint
      @adstudypoint Před měsícem +1

      ​​@@Jee2025-oz1zs bcoz. In x^4=1. Has four roots 1,-1,I,-i

    • @tanmaykulkarni1540
      @tanmaykulkarni1540 Před měsícem +3

      x^(1/4)=1 has 4 roots 1,-1,i,-i

  • @kavyagoyal6778
    @kavyagoyal6778 Před měsícem

    We can't change the domain of function by applying modification to original situation

  • @RAMKUMAR--------------696
    @RAMKUMAR--------------696 Před měsícem +2

    Sir very good explaination🎉🎉🎉

  • @shubham-z1l
    @shubham-z1l Před měsícem

    first inequality mai function is negative should'nt the D be negative then because the fucntion is never zero and always negative? but maybe im wrong kyuki it is not mentioned for all x
    edit : i just realised that vice versa of " if discriminant is negative then function is above or below the axis" is not true

  • @RajKumar-uq1xp
    @RajKumar-uq1xp Před měsícem +1

    Sir log x power even number comes out to be log of mod x and because in this case x can be positive or negative

  • @shlokthosar8094
    @shlokthosar8094 Před měsícem +2

    Sir please start any series for Olympiads ..

  • @akhileshvijayvargiya4259
    @akhileshvijayvargiya4259 Před měsícem +1

    Sir jab 2 ko aage lekar jayenga tab mode y aayega this is the mistake in 1st solution

  • @VishalKumar-ep5oe
    @VishalKumar-ep5oe Před měsícem +2

    Bhaiya class 12th ka AOD CHAPTER KA. 6 unbelievable hidden lecture kaha par milega. Very need.

  • @msharma6424
    @msharma6424 Před měsícem +5

    Sir aapse questions kaise puch sakte h

  • @Brown_Nikola.369
    @Brown_Nikola.369 Před měsícem +1

    Yes sir
    ISI number theory classes TOMATO book solutions please🙏

  • @rakeshranjan591
    @rakeshranjan591 Před měsícem +1

    sir i have a doubt please solve it . Sir log is only defined for positive numbers to why will we put mod

  • @user-fl4wt6io4j
    @user-fl4wt6io4j Před měsícem +1

    Sir y2 me y ko positive hona zaruri nahi tha par jab sirf y hai to y ka positive hona zaruri hai ye condition Q me nahi thi hamne dali

  • @AinurUlFijar.
    @AinurUlFijar. Před měsícem

    Log(a^n), n is even, then you have to put mod.

  • @haggupaggu-dl6lx
    @haggupaggu-dl6lx Před 14 dny

    Thank you sir. Aaj ek nayi cheez seekhi

  • @dalipprajapat1203
    @dalipprajapat1203 Před měsícem +1

    sir log mein -ve define hi nahi hai to mod lagane knha jarurat hai

  • @supritykumari6989
    @supritykumari6989 Před měsícem +8

    Unacademy ki beizzati

    • @million-jv8dy
      @million-jv8dy Před měsícem

      But it is allen test question, the student who asked has commented 🎉🎉yet

  • @Education-35
    @Education-35 Před měsícem +2

    Essa too kabhi kisi ne padaya hee nahi sir
    Mene solve kiya pause karke too 8 hee aa raha tha
    But aage se galti nahi hogi

  • @Alexander0007
    @Alexander0007 Před měsícem +1

    Thanks a lot of sir ❤❤

  • @ch23satyendranathtripathi84

    sir jab log ko t put kiye the usme log decreasing function h

  • @sidharthsingh9219
    @sidharthsingh9219 Před měsícem +1

    y ke square ko remove karke hamne use positive assume kar liye aur negative values ko not aaceptable assume kar liya

  • @AdityaYadav-bf7it
    @AdityaYadav-bf7it Před měsícem

    good solution....

  • @lakshyadhimanld027
    @lakshyadhimanld027 Před měsícem +5

    ON TAKING POWER OUT, TAKEN CARE IS Y TO BE POSITIVE

  • @als2cents679
    @als2cents679 Před měsícem

    Amazing !!

  • @million-jv8dy
    @million-jv8dy Před měsícem +1

    THANKYOU SIR FOR SOLVING THE QUESTION ASKED BY ME , BTW IM IN ALLEN KOTA , ITS THE QUESTION OF ALLEN KOTA LOWER BATCH MINOR TEST
    Edit : YES , THE TEACHERS OF ALLEN KOTA PROVIDED US WRONG SOLUTION 😂🎉🎉🎉

  • @RAMBABU-wg2nj
    @RAMBABU-wg2nj Před měsícem

    Before watching this lecture, my answer came 16.

  • @user-ee4xs1un1u
    @user-ee4xs1un1u Před měsícem +1

    Hurray muje samajh me aa gaya tha❤

  • @rishabhjain2901
    @rishabhjain2901 Před měsícem +1

    Sir 1st sol mai aapne jab 2 ko bahar kra tab aapne anjane mai y ko positive assume kr liye

  • @SamridhSahshauray
    @SamridhSahshauray Před měsícem

    Sir apne y² ka domain toh liya hie nhi

  • @mathswithsirsajid745
    @mathswithsirsajid745 Před měsícem +3

    Sir this is Sajid Ali from Pakistan Sindh province
    M.phil scholar in mathematics
    But I got so many concepts from you
    And with the help of your concepts
    Finally I passed my commission exam
    Recently working as subject specialist mathematics bps-17 in Pakistan 🙏🙏🙏

  • @uttu2008
    @uttu2008 Před měsícem +2

    Sir pls upload solution of question: sinπ/7. sin2π/7. sin3π/7.

    • @agnibho2k8
      @agnibho2k8 Před měsícem +1

      Already uploaded

    • @shashwatorsamriddhithakur1774
      @shashwatorsamriddhithakur1774 Před měsícem +1

      √7/8 is the answer right??

    • @agnibho2k8
      @agnibho2k8 Před měsícem

      @@uttu2008 (√7)/8

    • @FlakernN
      @FlakernN Před měsícem +3

      ​@@shashwatorsamriddhithakur1774you are wrong.
      Put π/7=0, so our answer comes as sin(0)sin(0)sin(0) = 0

    • @06akshatnahar60
      @06akshatnahar60 Před měsícem

      ​@@FlakernNBhai π/7 constant na ki variable uski value fixed hai.
      Thumara statement hi galat hai
      π/7=0=> π=0
      Which is incorrect

  • @dakshsehgal9847
    @dakshsehgal9847 Před měsícem +1

    10:01 sir aapne square bahar lia so andar y pe mod lagana tha

    • @imsparshyt
      @imsparshyt Před měsícem

      exactlyyy

    • @imsparshyt
      @imsparshyt Před měsícem

      @@tiwary7320 are bhai because maan lo koi log 4 ko likh de log (-2)^2 to aise to log undefined ho jaega power directly bahar nikaal doge to... islie mod lgate hai taki always defined rhe log

    • @imsparshyt
      @imsparshyt Před měsícem +1

      @@tiwary7320 ehhh bro, log is not defined like this.... you can't have a non positive number inside log.... i suggest you first study the definition of log.... for short- log y base x means the power to which x should be raised to get y, so thus, and we always take x as positive .... (check the definition online)... thus, x to the power anthing can't come negative hence y cant be negative

    • @imsparshyt
      @imsparshyt Před měsícem +1

      @@tiwary7320 welcome

  • @rayquazabtc9131
    @rayquazabtc9131 Před měsícem +2

    Sir maine bhi same glti kri😂😭

  • @okiedokieyup926
    @okiedokieyup926 Před měsícem +1

    Sir log |y| (MOD aaega) aaega not log(y)

  • @vivekdubey8354
    @vivekdubey8354 Před měsícem

    ln (x^(2n)) = 2n.ln (|x|)
    ln (x^(2n+1)) = (2n+1).ln x

  • @10.arnavchamorshikar55
    @10.arnavchamorshikar55 Před měsícem

    mistake identified and i solved this question correctly by myself that expression should be -2log(mod(y))

  • @user-rr9nd4or6b
    @user-rr9nd4or6b Před měsícem +6

    Sir due to you my maths is strong sir thanks sir

  • @Archit978
    @Archit978 Před měsícem

    Mode

  • @AmanYadav-cg2kn
    @AmanYadav-cg2kn Před měsícem

    sir y ke square ko aise hata nahi skate kyunki kya pata y negative ho, jo ki log mein possible nahi hai

  • @sidharthsingh9219
    @sidharthsingh9219 Před měsícem

    Sir I solved this question in the first time

  • @creatordip9900
    @creatordip9900 Před měsícem

    Mod of y

  • @vishnulokiitmains137
    @vishnulokiitmains137 Před měsícem

    Sir ye common mistake bhi ho sakta hai
    Mai Manta hu aisi common nahi honi chahiye
    But kabhi kabhi ho jati hai
    So please don't create unnecessary problem
    Very good you are trying to make students correct
    But your thumbnail was very immature

  • @keshavnagar1265
    @keshavnagar1265 Před měsícem

    Vha par y ki jagah mody aayega

  • @parellax
    @parellax Před měsícem

    i got 10 lmao

  • @IIT572
    @IIT572 Před měsícem

    Sir I think this solution wrong bcz when log(m)^n applied property then the correct version is nlog(|m|).

  • @Arshadkhan73042
    @Arshadkhan73042 Před měsícem

    Argument positive nahi kiya

  • @user-nm3lr3ly1h
    @user-nm3lr3ly1h Před měsícem

    I cant assume 2logy = t..I think that's the mistake

  • @user-mx1oq8wx5x
    @user-mx1oq8wx5x Před měsícem +1

    Sur apne 4 ko kat diya hai

  • @creddym1
    @creddym1 Před měsícem +1

    Sir you are wrong

    • @bhaktbabaaryan323
      @bhaktbabaaryan323 Před měsícem +3

      No my brother sir is right
      Agar koi mistake ki hai to aap batao
      Mai apko suggest karta hu aap google par 'desmos' graph par iska graph bhi dekh sakte hai...
      Solution bilkul correct hai
      Ans:-16🙂🙂

    • @AmbrishTiwari777
      @AmbrishTiwari777 Před měsícem +2

      r u from Unacademy?

    • @bhaktbabaaryan323
      @bhaktbabaaryan323 Před měsícem +1

      @@AmbrishTiwari777 no brother
      I do not prefer any online platforms