Method 7: Divide numerator and denominator by z . Then 4z+2/z is purely real. Solving we get |z|^2=1/2
@jahnavi1388 Жыл бұрын
COOL!!
@vedants.vispute77 Жыл бұрын
Yes I did the same
@myJNUinediary Жыл бұрын
@@vedants.vispute77 thaks bhaiya
@kamranjeetsingh8610 Жыл бұрын
Nishant Jindal ne jab solutions diye the usne same diya tha I feel like vahi se hi bata raha hai bhai tu
@myJNUinediary Жыл бұрын
@@kamranjeetsingh8610 haan sahi h tu
@pqrs928 Жыл бұрын
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
@Deepakpatil987 Жыл бұрын
Shortcut method : Z=a+ib ; (b not equal to zero) but ( a can be zero) therefore Z=ib , by puting it ,eqn simplifies
@IITian_Shivamm8 ай бұрын
It's not a reliable method 🙂
@noelgeorgi33137 ай бұрын
@@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
@sudhanshuh8850 Жыл бұрын
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!
@SakshamSrivastava-dv5rl Жыл бұрын
Quadratic and conjugate pair is the best method I found,,,and putting zero is also the awesome method....
@Nem22Paras23 Жыл бұрын
The methods were mind-blowing ❤️
@itsmanasK Жыл бұрын
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.
@mostlytrue6823 Жыл бұрын
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)
@harshbaria1947 Жыл бұрын
Haats off to both Iqbal sir and Anup Sir for their Efforts ❤️
@Anonymous-lw5lw Жыл бұрын
MEthod 7 use the concept of product of roots in method 6 to get 2/4 = 1/2
@nitrrstudent Жыл бұрын
jee advanced pyqs are nothing in front of some 2022 mains questions 🥲
@srinivasvarkala8268 Жыл бұрын
Just for maths
@soumya_who Жыл бұрын
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 Жыл бұрын
@@srinivasvarkala8268 obviously Bhai , PC ki itni aukat nhi hai 😂😂 except that flux wala question
@nitrrstudent Жыл бұрын
@@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 Жыл бұрын
POV:you never solved single jee adv pyq 🤣
@mosquito001 Жыл бұрын
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 Жыл бұрын
amazing bro
@Charlie0308 Жыл бұрын
No it's commendable! Good job!
@mosquito001 Жыл бұрын
@@Charlie0308 Thank you, means a lot when I have advance coming up
@mosquito001 Жыл бұрын
@@8BitGamerYT1 Thank you
@extremeusace4189 Жыл бұрын
@@mosquito001 how much in mains
@ujjwalsingh6495 Жыл бұрын
amazing sir ,pls sir also bring similar for other chaps also that brush our concepts more smoothly
@shivanshtiwari2942 Жыл бұрын
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......
@swapnilsingh19779 ай бұрын
hmm, did same
@gopalmishra8441 Жыл бұрын
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
@somebaldguy46038 ай бұрын
how was ur exam?
@saurra3953 Жыл бұрын
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!!
@orangesite7625 Жыл бұрын
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
@Kartik.Mahnot Жыл бұрын
Meanwhile I am still solving by z = x+iy ☹ But later I did it by the 7th method using componendo dividendo rule
@spuhdermahn4478 Жыл бұрын
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
@udaypatel959611 ай бұрын
Yes sir, today you have told a quality thing for JEE advanced aspirants.❤❤
@iitianaditya Жыл бұрын
Anup sir perfectly knows what students need I was bit worried about adv 2023 and here's sir to help us
@RamaLakshmiG-wi5rt Жыл бұрын
Bro iitian h kya??
@_adlll._ Жыл бұрын
IQBAL SIR 💘 XYLEM💥
@xylemian_2023 Жыл бұрын
🔥
@shivamsrivastava664 Жыл бұрын
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
@SonuSingh-em6fi Жыл бұрын
Method 5 is the best i will try by now to solve pyq like this
@Mk-yd2hd Жыл бұрын
sir Literally mzaa aa gaya mai Maths ke lec. nahi lgata , but apke Lagane padenge
@Iam_me7 Жыл бұрын
Yes mam every session and dpps are done mam 100min dialy doses are done 🔥
@xmohitverma Жыл бұрын
Method 5 ❤🔥
@KS2005 Жыл бұрын
What should be the approach to solve 2022 Mains problems…..I am facing difficulty in them even after completing a chapter
@akshatgupta2233 Жыл бұрын
Yes bro same They are tough af😭
@pranavtomar61245 ай бұрын
I will work hard in learning mode in advance questions......❤❤
@dhruvjha2776 Жыл бұрын
now i am able to solve 2020 paper questions easily
@dhruvjha2776 Жыл бұрын
i mean 2022
@bhaveshpradhan40997 ай бұрын
If we put 1 in last method, we get 0 PLS HELP
@SrinivasPatro-g8p7 ай бұрын
yes lol
@MathMetropolis Жыл бұрын
Thank you 😊 very much sir for this
@tanushagarwal94 Жыл бұрын
M8 vectors ,angular bisecter concept, the best method no hit and trial yet solved in a minute
@xylemian_2023 Жыл бұрын
Proud to be a Xylemian🔥
@_adlll._ Жыл бұрын
💥
@kushagrah_agrawal9 ай бұрын
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.
@satyam99999 Жыл бұрын
All the methods were AMAZING but THE SECOND LAST was THE BEST
@raw3333 Жыл бұрын
Sir today video is liitle bit dark. Increase brightness 🔆 next time
@NfbdVdbb8 ай бұрын
Sir please more videos like this for maths🙏 very good explanation 😃
@facts-rm8vc9 ай бұрын
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
@ggnanadharshini3137 Жыл бұрын
sir Compenendo dividendo which makes a short complex number
@yashwanthvuppala4835 Жыл бұрын
Sir ur doing great, please launch jee adv coruse in January 😇.
@aditya16029 ай бұрын
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
@SonuSingh-em6fi Жыл бұрын
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😇😅😗
@shamitshah5765 Жыл бұрын
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 Жыл бұрын
5th method dekhkar goosebumps aa gaye...!
@SAM-vm7fo7 ай бұрын
Thank you very much sir please make more videos like this sir so that we can strengthen our concepts
@exploringtechwithiitian Жыл бұрын
Sir which book provides pyqs with different methods
@sayantansarkar3999 Жыл бұрын
sir when Jee Adv 2023 test series will be launched?
@rdbVoltitude9 ай бұрын
16:40 sir, how did u do z^2 to be |z|^2, waisa to real mein hota hai
@corona3796 Жыл бұрын
What an amazing video. It's kind blowing especially last method. Tysm
@mohammedzishan9179 Жыл бұрын
I will work hard .
@Ankur380 Жыл бұрын
When I saw the ques here ,firstly I thought let's try to form quadratic😁 ,thankyou sir ,watching this analysis was worth it
@swEEtEnEd_Evil Жыл бұрын
I knew till method 2 and was amazed by method 5
@Shatranjshersha6 ай бұрын
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
@vedantgupta62459 ай бұрын
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
@jeeaspirant1524 Жыл бұрын
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??
@iaor5842 Жыл бұрын
Put t=-1 in hit and trial, solves instantly
@umang7303 Жыл бұрын
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😅
@the_kk13269 ай бұрын
Method 5 was 🔥🔥🔥🔥
@bigdenergy937 Жыл бұрын
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)
@jpgajraj73408 ай бұрын
Brilliant solution sir😊😮❤❤
@VANSHKUMAR0010 Жыл бұрын
BEST complex no. one shot...ever😂🙃
@JeeAspirant-z1o9 ай бұрын
Sir chapter wise mock dena chahiye ya pyq as mock?
@priyanshshukla4799 Жыл бұрын
Sir I was able to figure out the last method,so happyyyyy
@afridbasha75477 ай бұрын
Put z=iy within 1 min u get ans
@Vaibhav20x09 Жыл бұрын
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..
@prajwalshejwal2427 Жыл бұрын
Thank you sir ❣️
@veerdosi Жыл бұрын
One more method of taking z=iy
@aashutosh.mishra Жыл бұрын
Thank you sir, you are amazing
@rahulshendre7089 Жыл бұрын
Advanced pyq are very imp as there aren't a lot of advanced q so we must make the most of every q
@anirudhathakur7350 Жыл бұрын
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😂😂)
@kalkigoat8437 Жыл бұрын
Sir aap bohot help krte ho meri
@dhruvjha2776 Жыл бұрын
thankyou sir for marks app, i have completed top 500 questions
@satyakesadhukhan Жыл бұрын
It keeps getting better.
@Aspro_iitg9 ай бұрын
Sir at the first time I have solved by method 5
@Nem22Paras23 Жыл бұрын
Where does Respected Iqbal sir teach ? Is he a member of your Department ?
@vasubhalani3938 Жыл бұрын
Method 5 . Apne kya socha hai
@sahafmfaisal Жыл бұрын
Iqbal sir 💚
@arnav5759 Жыл бұрын
Sir always put the actual picture of jee maths in front of us
@raniponugoti3413 Жыл бұрын
Method 5
@khabrisingh1674 Жыл бұрын
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
@ME_AHMAD178 Жыл бұрын
Thank you very much sir
@Kumardhruv308 Жыл бұрын
How to prepare for jee advanced and cutoff pls sir jee advanced decoding video pls sir and thanks for always help ❤️
@vanshkabra3499 Жыл бұрын
Sir jee mains ke bhi questions ase hi solve karne h kya
@yashbindra2386 Жыл бұрын
Sir could you pls lauch a Course where you could teach us how to solve a question using different methods
@Akash_Shaw Жыл бұрын
Sir please make a video explaining tpc, given on information Bulletin page 45 and appendix IV
@Fivekey100 Жыл бұрын
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 Жыл бұрын
@@Fivekey100 classic nta move thanks
@GauravSingh-wv5id Жыл бұрын
But sir if we think every question with different methods it will consume almost 2 to 3 times more time.......
@skylord8318 Жыл бұрын
Interesting fact I sloved this with 3,4,5 mtd
@ankitamishra3230 Жыл бұрын
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
@AnandYadav-vc6yg Жыл бұрын
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?
@sattwikchatkara88719 ай бұрын
Sir I thought exactly the last wala method ngl
@vinayakmamtani9 ай бұрын
If in the same ques it said purely imaginary we will take the whole to be 1 right?
@majedaarmemes25268 ай бұрын
with pen and paper
@neetaagarwal1234 Жыл бұрын
Sir can we solve every pyq with more than one method
@JohnDoe-hl2qm9 ай бұрын
last two methods op op op op op op op!!!!!!!
@neeruiieq6294 Жыл бұрын
Sir wbjee crash course leke aao
@pritinathawat8675 Жыл бұрын
Thank you sir
@kesariyt5696 Жыл бұрын
Last step was totally absurd that it even worked 😂😂
@anirbanchatterjee8145 Жыл бұрын
But this only applicable in maths , other subjects mostly have questions which can be solved by one method only
@srinidhisoundarrajan5884 Жыл бұрын
I guess, this video was made specifically for Maths because JEE Mains ka maths level bhi JEE Advanced level ko touch kar raha tha iss baar 😢