To master the true art of advanced-level problem solving join our course, jeesimplified.com/set-of-60 Time Stamps 00:00 Introduction 00:43 Solving 11:03 Summarizing
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@jeesimplified-subject2 ай бұрын
Kon hai jiska video dekhne se phale hi hogaya tha 🌝 . To master the true art of advanced-level problem solving join our course, jeesimplified.com/set-of-60
@adarshprakash76492 ай бұрын
Abhi sojata hu solution kal dekhunga🌝🌝
@0oAstro2 ай бұрын
ho gya tha 🤣🤣 ye sab substitutions basic hain
@adityajha28892 ай бұрын
Done bhiya 11-12 minute lag gye
@KATTAR_HINDU1872 ай бұрын
Bhaiya aise 10 sawaal to mere allen ke test me bhare pade the (btw i m from star batch or tms in allen so this was easy obviously)
@Mathematician61242 ай бұрын
Yeah solved it. I have interest in calculas stuff. So I got it.
@JEE-oq1me2 ай бұрын
you couldve given me 5 days to solve this and i still wouldnt even think about complex numbers 💀
@parthsharma92762 ай бұрын
True
@adimusic072 ай бұрын
Point hai
@yuvrajsau2 ай бұрын
Tru
@saswatsudarshantripathy58462 ай бұрын
But in 6th day u wud?
@mathsloverprashant91092 ай бұрын
Indeed..6th day ban jata
@AnshPathak20052 ай бұрын
Mathematical orgasam 💀💀 Bro didn't even hesitate
@user-vo6lt8fe5p2 ай бұрын
bruh im too lazy, timestamp???
@zoro75452 ай бұрын
@@user-vo6lt8fe5p 12:47
@fighter99572 ай бұрын
12:47
@Sanjithhhh2 ай бұрын
69 likes suits well 😂
@CubeRex_2 ай бұрын
Bhaiya ye to Mera Sawaall hai thanks..❤
@user-nr3ge3bt7e2 ай бұрын
Bahut ache dost question kaha ka hai please bata do
@SidemenClips_772 ай бұрын
@@user-nr3ge3bt7e NIT ka hai bhai
@dhruvchaudhary53792 ай бұрын
Log expansion and complex substitution solved it when were preparing for IIT JEE -2010 . Brings back memories. Great content bro
@lakshay37452 ай бұрын
My solution development: General term- Re{e^2nix/(2n-1)(2n+1) 1/(2n-1)(2n+1)= (1/2)([1/2n-1] - [1/2n+1]) {Splitting the fractions} , now we have two summations we can solve them individually by two functions f(x)=Summation e^2nx We can easily find the f(x) as this is a GP so f(x) is known here , and now we multiply e^x on both sides (e^x)f(x)=Summation e^(2n+1)x (You get the idea here , we have the power 2n+1 on e, so we can integrate on both sides and we will get the coefficient of power in the denominator) integral (e^x f(x))= Summation (e^(2n+1)x)÷2n+1 , this is exactly what we needed, we can put x= ix in this function and we have the value for the first summation) Similarly, we can divide the function by e^x on both sides and find the value of 2n-1 wala summation by integration on both sides 👍 P.S. Using integration is a very common idea in binomial as well
@nitinmallela17062 ай бұрын
Pratham Bhai aapka comment pe pakka reply karega
@CZaidFaruqui2 ай бұрын
Bhai tu Mumbai suburban area me rehta ha kya ?? Just asking becuase yaha pe ek lakshay name ka toppr h
@ninja0o05572 ай бұрын
Bhaiya how to develop thinking like you pl tell. I am in 11th jee 2025
@adityaagarwal25042 ай бұрын
nice solution!! but i think it will become more lengthy
@kartiklande25562 ай бұрын
Woh ioqm ke liye prepare kiya hai toh us lvl ki thinking hoti hi hai@@ninja0o0557
@shubhammeghani82322 ай бұрын
4:19 Here we can also convert z^(2n-1)/2n-1 into a integral and switch the integration and summation. It would form a GP and then we can directly integrate
@puneetparashar29352 ай бұрын
No
@shubhammeghani82322 ай бұрын
@@puneetparashar2935 Dont answer No without having proper knowledge.
@aryannamboodiri89742 ай бұрын
Nope the series does not converge for |z|=1
@laxminarayanbhandari8552 ай бұрын
@@aryannamboodiri8974What works, works. Neither you, nor me, have studied complex analysis to formally analyse the convergence of the series. Just because something works for real numbers doesn't mean it works for complex numbers.
@anuragsengupta92692 ай бұрын
Thanks Bhaiya firse waisa type ka question lane ke liye jisme sequence and complex ka involve ho.learned a lot..
@dhruv0x0x02 ай бұрын
Why i got it in my recommendations, ab toh 3rd yr engineering ka khtm hone wala hai😂😂 kaafi convenient days the😢
@axis2552 ай бұрын
bro this is a really good question mujhe bilkul approach pata hi nahi tha thanks man
@jiteshjakhar24472 ай бұрын
Khilwa denge ... Bro's creativity is increasing day by day ( as content creater)😂😂
@Arnav-vt6xm2 ай бұрын
Chup chap se x ko kuch mano 3-4 term tak plus kro aur options me eliminate krlo😂😂
@AnaySarda2 ай бұрын
Put x as 0
@Arnav-vt6xm2 ай бұрын
@@AnaySarda Ha mera MAtlab wahi Tha 😅
@decentaditya13822 ай бұрын
Aur agar options na ho toh 😅skip the question 😂
@AnaySarda2 ай бұрын
@@decentaditya1382 options must be there as the ans is in terms of x so it cant be a numerical qn
@adisi2472 ай бұрын
@@AnaySarda and what if the questions comes in this form S = - π sin(x)/a + 1/b than find a+b lo karlo x=0 put 🙂
@debarghyaghosh63252 ай бұрын
Seeing the problem,i thought about of series,trigo,but complex numbers solution is mind-blowing
@onlystudyjee7872 ай бұрын
Already enjoyed this problem months back on Mathsmerizing channel, its solution covered my full two pages 😅
@bluesky57942 ай бұрын
What's your expected marks in jee adv brother...
@onlystudyjee7872 ай бұрын
@@bluesky5794 hey hey I am not even able to score good in mains Math's but I like to explore Math's and just want satisfactory score in mains and advanced 😊.
@yograjtandon58472 ай бұрын
Bhaiya complex nhi soch paya but lnx soch liya tha thank you for preparing this question
@ARYANcatTEAMUDAANOP2 ай бұрын
Bhaiya just for solving , me x=0 dalke solve karta and opt me 0 dalke dekh leta , if I am lucky 3 opt eliminate ho jate , but learning ke liye bhaut op question tha
@tifrmission2672 ай бұрын
This problem also came in csir net with little change, asking about it's uniform convergence .
@adityasharma93632 ай бұрын
It uses the cis method.. quite interesting problem❤❤
@rudresh42382 ай бұрын
bhaiya once u said complex involved ,,uske baad log socha easy tha ,,but ya the initial thought was OP
@abhibansal37162 ай бұрын
Will try these question one month before my jee adv 2025
@Your_Study_Buddy_SD2 ай бұрын
Bhaiya trigonometry me to multiple types of complex formulas hote h jo ki in general bohot se books me bhi nhi diye rhte h. Aur waise formula se Q Advanced me bhi are h. Un formulas ko kaise janenge?
@sanjaylal90682 ай бұрын
I was done with the conceptual part in around 15 mins, then for calulation it took me 30 mins. many calculation errors i made. solved it many times to approch the correct answer
@bkmishra72862 ай бұрын
acha question tha.... loved it... complex number wala part toh guess kar liya par ln(1+x) ka expansion yaad nahi tha 😬
@PiyushPatankar-xn7qe2 ай бұрын
Badhiya question tha bhaiya 👏🏻
@JEE-oq1me2 ай бұрын
12:00 bilkul sahi kaha bhai... aapka comment section me kuch zyada hi log batata hai ki atleast 15-20 minutes lagne wale sawaal 1-2 minutes me ho gaya... aur ab people are starting to say 7-10 minutes to sound a bit more believable 💀
@ashutosh41892 ай бұрын
bhai kuch log to ye bhi bolte hai ki i just stated 11th and complete in hardly 2 mins bhaiya ki chat se hi 2024 jee adv air 1 , inmo, rmo ke air 1 ayenge
@harshguruji55622 ай бұрын
Ln1+ x wala tagda socha hai complex number tak toh socha bhi tha par this sum was ausum
@arshadansari-ez1qeАй бұрын
Hi Which app you use for making video recording and notetaking in your videos
@adityaagarwal25042 ай бұрын
Bhaiya ho gaya !! maja aagaya ekdum !! Aise sawal indefinite integration mein bhi hote hai cosx aur sinx ko hatake real ya imaginary part of exponential function lelete hai meine waise sawal kaafi kr rkhe shayad isliye 1st baar mein strike ho gaya
@themadtitan7282 ай бұрын
Bhai aisa sawal kabhi aya bhi hai jee mai? Jee advance, mains ke pyq aur module bhi laga li mujhe toh aisa question kahi nhi mila
@Fine1732 ай бұрын
Tu pyq karta hai kya bass? @@themadtitan728
@adityaagarwal25042 ай бұрын
@@themadtitan728 nhi jee mein to nhi aya but hamari coaching mein karaye the ek do aur mereko thoda calculus mein interest hai to mein karta rehta hu idhar udhar se uthake MATHS505 name se ek channel hai uspe aate hai aise badiya integration ke videos but wo jee advance relevent bhi nhi to i wont recommend ki tum abhi uske videos dekho
@adityaagarwal25042 ай бұрын
@@themadtitan728 nhi yaar pehle to kabhi nhi aya but hame coaching mein karaye the aur mereko thoda calculus mein interest hai isliye mein krta rehta hu idhar udhar se utha kar
@laxminarayanbhandari8552 ай бұрын
@@adityaagarwal2504 more power to you. me feeling nostalgia recalling the lockdown quora grind
@kewalmer72252 ай бұрын
Pretty easy question honestly but had a lot of fun. thanks for uploading this video
@NAYANKUMAR-mx9mb2 ай бұрын
Benstokes ye easy tha kya
@laxminarayanbhandari8552 ай бұрын
@@NAYANKUMAR-mx9mb depending on the person, yeah this was easy. at least easier than many other monsters i personally have dealt with
@ommpradhan27992 ай бұрын
I tried to differentiate and integrate the general term since kuch dino pehela aap na ekk series ko aisa solve kiya tha but kuch nehi Hua 😂. But really a monster question ❤.
@ankurjain91452 ай бұрын
Somehow this video appeared .I subscribed to this channel right after watching this video
@27aritrasinhaxb632 ай бұрын
Though of complex and even did it till taking real part but never thought of log series . 😢
@prakharjain3202 ай бұрын
Didn't thought of complex at all😅
@noname_xD_2 ай бұрын
Mainee eshaa ekk question already kahii dekha tha but usmee sirf ln(1+x) ka paternn observerd krnaa thaa.... I think that's why i was able to solve it ✌🏼
@YuvrajSingh-ts8tr2 ай бұрын
puzzle hota hai good problem though...thanks bhaiya
@tejasvishrivastava58882 ай бұрын
10:29 glt hai bhai complex me aise log nhi le skte, i ko to e^i×pi/2, e^i×5pi/2,.. in general e^i(4n+1)pi/2 se bhi represent kr skte hai sbme log ki alag value aa jaayegi
@laxminarayanbhandari8552 ай бұрын
search branch cut for multivalued functions.
@ankurjain91452 ай бұрын
Sir sach mein bahut acha question and solution tha Is there any alternative solution to this ?
@theScholar3692 ай бұрын
Hello there, Thank you for the great video ! I used the Fourier series to solve this Cos(2nx) can be written cos((2n-1)x +x) and costly((2n+1)x - x) and proceeded forward In the end I got 1/2 - sinx * Sigma sin((2n-1)x)/(2n-1) The Sigma part is Fourier series of square wave Which is π/4 if 0
@BEENISHANTDUBEY2 ай бұрын
i used both fourier and z transform to solve this
@nohateplease7772 ай бұрын
bhai yeh hota kya hai??? JEE me hai kya ye?
@BEENISHANTDUBEY2 ай бұрын
@@nohateplease777 Nhi, 2nd sem 1st yr, ka problem hai
@PrithwijitTripathi17 күн бұрын
This can also be done by fourier analysis.
@younic2820Ай бұрын
Mind bogling question
@studywitharyan95802 ай бұрын
Not meant to brag, but done in around 13 minutes being an 11th entering student : My approach: 1. Convert cos(2nx)= 1/2 (e^i2nx + e^-i2nx). 2. Separate the series into two series (one of positive powers and other of negative powers) . 3.Solve the first series by substituting a=e^ix. After few manipulations in first series, we will get : [(a²-1)/4a].[ln{(1+a)/(1-a) }]+0.5 4. Similarly in the second series, repeat the process by substituting b=e^-x. 5.Add both the parts and simplify to obtain the final answer.
@VikramPratap.2 ай бұрын
Bruhh I'm also entering 11th but not able to get a shit out of it.
@studywitharyan95802 ай бұрын
@@VikramPratap. No need to worry... 😊
@unknownwarrior82692 ай бұрын
I am also entering 11th pcm and dont know shit about it 😭😶
@pratikIIT242 ай бұрын
foundation wala hai tu.... btw vwry good being able to solve this level of questions at this age
@studywitharyan95802 ай бұрын
@@pratikIIT24 Self study(Class 11+12) + Coaching(Class 10 at IIT foundation level)
@aavishkarkanani53352 ай бұрын
Maja aa gaya thank u bhaiya
@uhm_yeah3982 ай бұрын
me ln(1+x) aur e^x ke expansion ka phle soch betha to usi par dhyaan gya, complex par socha nhi
@mnn9692 ай бұрын
Bhaiyaaa 40min se soch rha tha kuch aisa dimaag me ek baar ke liye strike kiya (complex wali baat)but fir m kuch aur hi concept lagane lag gya
@rawatutkarsh2 ай бұрын
Damn. Really creative question. I didn't know the expansion of logarithmic series so I couldn't solve beyond that part but the question was great.
@ParthBnsl-iitis2 ай бұрын
I was able to calculate the final fn in terms of ln and all... Also got the same fn but then I checked the domain and then I was confused how to operate imaginary no. in ln(1+t/1-t) where t was the same z you took in your soln.... I just missed a step and I could have solved it... But after seeing your soln I solved further and got the same answer... It was a really challenging question, firstly trying to use ln(1±x) expansion was tricky and secondly dividing by e^ix/2 was very tricky and thirdly and lastly converting ln(i) in i.pi/2 was game changer... Definitely it was a new type of question and it was very tasty... 🗣️💨BURPPPpp... 😋 Edit : It almost took me 30mins to finish this late night snack... Also I didn't watched your previous vid coz it was pyq and I wanted to give 2022 ppr as a mock test so, didn't saw 😅
@Sezarioooo2 ай бұрын
JEE Advanced is like the Top 250 in Ranked Call of Duty or the conqueror league in PUBG.. You have to be the best to top the exam
@aadijaintkg2 ай бұрын
It took 20-30 min but done at the end and my approach is quite different from this.
@ashutosh41892 ай бұрын
2 min mai hogya easy tha bas cool ban ne ke liye bola 😅 btw love this que
@shivanshnigam40152 ай бұрын
I am rarely able to do these questions but after taking simple hints I understand them very quickly And please keep sharing all these wonderful questions with us even after this 75 hard thing
@dipyanshukumar34592 ай бұрын
Bhaiya isi time pe vdo dalna hmeshs... raat me jb pdhte time neend aati h to vdo kholke ques pr matha lagane lgta hu and all set neend gayab
@Kirtiraj_Deshmukh2 ай бұрын
Hey bro! Our teacher once said that expansions are valid only for real numbers. Is that true?
@shivx32952 ай бұрын
bhai complex toh soch liya tha but fir expansions dhyan mai nhi aayi itne questions karre hai bhout try ke baad trigo kaa savaal naa hone par yhi hoo sakta hai ki voh complex se hoo rha ho
@susantparida83692 ай бұрын
Dimag garm karrha ye question, kabhi solve nhi krunga aise question mai realistically.
@RajendraSharma-yx8gf5 күн бұрын
Brother, this series is not equal to 1/2-(pi/4)sin(x) always. It is a periodic series with period pi. We can check this by x = 3pi/2, S = -(1/1.3) + (1/3.5) - (1/5.7) = (1/2)(-1+1/3+1/3-1/5-1/5+1/7+....) = (1/2)-(1-1/3+1/5-1/7+...) = 1/2-arctan(1) = (1/2)-(pi/4) from formula, x = 3pi/2 gives S = (1/2)+(pi/4), so the series is equal only in {(0,pi) +2k(pi)} S = 1/2+(pi/4)*(sinx) in (pi,2pi) + 2kpi; S = (1/2 )- (pi/4)(|sinx|) Not sure if it was MCQ with multiple options or only one option is given in JEE Adv
@RajendraSharma-yx8gf5 күн бұрын
However, the other result can be achieved by seeing that- log(icot(pi/4)) = log(i) = i*pi/2 and log(i*cot(3*pi/4) = log(-i) = -i*pi/2; log(z) = log|z| + i arg(z) => arg(i*cot(x/2)) = pi/2*(|cotx/2|/cotx/2) = pi/2*(|sinx|/sinx) so Im(log(icotx/2) ) = pi/2*(|sinx|/sinx) S = (1/2)-(pi/4)*(|sinx|)
@SurinderKumar-os5il2 ай бұрын
Sir Ish ka ggrafically mean showes
@cheemus74652 ай бұрын
intro toh sahi karr rhe ho yaar
@syonpratap75492 ай бұрын
i figured out taking the real part of the complex number myself but uske baad clueless betha raha and nahi huan
@MathsSoul.-uk7er2 ай бұрын
Preety question 😊😊😊
@videepreddyjalapally69242 ай бұрын
This q i didnt even think about complex no. i mean after complex no i tried to solve i got the other 2 hearts but cldnt thiink abt complex
@omkumarsingh72 ай бұрын
How can I send some of my doubts and questions
@xb25-aryashinde882 ай бұрын
Jee level nahi hai Olympiad level hai 😢😢😢
@Ayush-mg6xw2 ай бұрын
Ha actually
@notsodope8342 ай бұрын
Giving JEE Adv. At exam hall is same as solving olympiad questions at home.
@notsodope8342 ай бұрын
Giving JEE Adv. At exam hall is same as solving olympiad questions at home.
@Ayush-mg6xw2 ай бұрын
@@notsodope834 nah not true itna bhi jyada pressure nahi hota relevance ek cheej hoti hai sir
@criticalthinker91342 ай бұрын
Not actually. But ya , the easier ones of the first stage of Olympiad. IOQM 2 markers
@darshviradiya30512 ай бұрын
How to send you ques?
@jeequestionsindia2 ай бұрын
Legends start with (1-x²)^{-1} and integrate appropriately
@randomman722 ай бұрын
Bas ln wali cheez ka idea nahi laga tha baki vo hint leke hogya tha
@anvitmagadum700323 күн бұрын
Legends leave this question unattempted 😂.
@nihalMaTh2 ай бұрын
can anyone explain how bhaiya took IZI = 1 at @2:16
@pratitsinhapk54592 ай бұрын
dekh bro pehle nth term likh then dono ko alag alag likh phir just like infinite gp terms kat jaenge bas 1st term bachega jo n=1 dalke aa jaega aur last term k liye limit solve kr lena 1 page solution
@suryansh8252 ай бұрын
Bc complex number the thought of it being from complex nos never crossed my mind😿😬😬😬
@shiwoshiwoismyactualnameАй бұрын
bhaiya pls upload on yt again
@Anonymous-Indian..20032 ай бұрын
Let the sum is f(x) Differentiate two times, you'll get f"(x) + f(x) = 1/2 Solution of this differential equation is: f(x) = 1/2 + Acosx + Bsinx For -π < x < π Now put x= π/2 f(π/2)= 1/2 - π/4 f'(π/2) = 0 You'll get B = -π/4 , A = 0 Solved My Intro: AIR 3935 JEE Advanced 2021 Edit: Those who are saying ki class 12th mein 2nd degree equation nahin aati. Ye baat mai bhi jaanta hu, lekin class 11th mein agar SHM padha ho toh yaad Karo har jagah issi tarah ki equation use hoti hai 🗿
@decentaditya13822 ай бұрын
Samaj ni aya pr dekh ke accha laga❤😂
@OkayO7-jc6hh2 ай бұрын
Wow! But we have to also remember the solution for this type of diff eqn to use this method.
@Anonymous-Indian..20032 ай бұрын
@@OkayO7-jc6hh SHM nahin padha kya ab tak 🗿
@User.Random_52712 ай бұрын
I'm batman
@milianxhighlights2 ай бұрын
Bhai aapne toh question ki chaamod di 💀
@user-sr1he9fp1s2 ай бұрын
Lol the moment i saw this i thought about complex numbers
@sushantgadyal2962 ай бұрын
6:37 at this point the expression of other term is written wrong It should be 1/2ln(1+z/1-z) -z. U didn't consider the half wala factor Edited: I didn't see further(sorry)
@Wessinho-xy5dsАй бұрын
Of course has to be complex numbers
@Bansalharshvardhan02 ай бұрын
Bhaiya, I emailed you a question please check it once
@StudyUp-un7xn2 ай бұрын
S(n)= summation =k=0 to (n-1) (-1)^k cos((k pi)/n).Anything on this? (General term)
@laxminarayanbhandari8552 ай бұрын
i don't think there is much we can do about this one
@Man_ish_Kr2 ай бұрын
How to send question?
@shreyas7264Күн бұрын
Bhaiya ye dekh ke ab dar lagne lag gaya hai
@jagruknagrik05172 ай бұрын
Bhaiya baaki mujhko pta nhi mainey yhi ekk kiya ki x ko zero dalkar aur 1/2 common nikallkar infinite V/N bana aur usmey last ke terms bahut badey honey ke karad kaat diye phir kya 1/2 answer baki , phir bhi ekk pura pie by 4 term rh gya , dusreyy x ke liye alg alg answer hoga ... that's my fault ❤❤❤ Hii likhdo mereko bhi kabhi kabhi akele akele editor rakhhey video bana rhi bss 😅😅
@iitkharkapur1532 ай бұрын
We can find the range of answer with the help of sandwich theoram
@ARD_ISAGI21Ай бұрын
BHAI KAISE SOCHE KI KIS QUESTION ME KYA LAGA SAKTE HAI
@AyushBhatt-ti5kh9 күн бұрын
Bhai mai toh cos ke expansion se soch ra tha
@yasharthyash172 ай бұрын
Tele and sl loney part 2 flooded with this type of question
@namitadlakha59632 ай бұрын
What is tele
@Professional-Hater2 ай бұрын
SL Loney is sooo tough bhai, I've been exhausted solving it
@mritunjaysingh9562 ай бұрын
Bhaiya Q kaise share krenge apko ?
@Education-352 ай бұрын
Bhaiyaa Trigonometry se nahi hoga kya Kuch manupulaⁿ vagera karke ???
@laxminarayanbhandari8552 ай бұрын
nope.
@Ekdm-mv8efАй бұрын
It's actually a Fourier series you can look that up if you want to
I also have a question of this level (maybe higher) I want to send it to you... Where can i do it?
@Mathematician61242 ай бұрын
Send here plz.
@DKAIN_4042 ай бұрын
@@Mathematician6124 here?where?...I am confused!
@Mathematician61242 ай бұрын
@@DKAIN_404, here
@AnshPathak20052 ай бұрын
Maja aaya 😮
@DevTech032 ай бұрын
6-7 mins, didn't know about the ln expansion, rest was Able to do 👍
@ananyvatsa15092 ай бұрын
10 min karne ke baad nhi hua tab jaake pata chala that it's 1x3,1x5 etc and not 1.3,1.5. Hp bana ke try kar raha tha
@motivation4you7692 ай бұрын
❤
@user-rx1ew7qc7f2 ай бұрын
i didn't knew how to solve it so just calculated what will be the value of this equation when x will be 2mpie and got 1/2 [when will i be able to solve advance level questions😔😔😔]
@manishsingaria38952 ай бұрын
JEE advanced have fairly easy questions than this.. work your way up to there by practising good questions
@user-rx1ew7qc7f2 ай бұрын
@@manishsingaria3895 thanks for your kind words bro 😄
@Professional-Hater2 ай бұрын
DW, this is ISI UGB/olympiad level question, JEE A has easier questions
@mathgeek18232 ай бұрын
oye hoyee....kya question thaa
@suraj2502 ай бұрын
Sir isko appne jyada tough bana Diya isko aasani se solve kar sakte hai
@user-oo2fq5qw8kАй бұрын
does ln(i) = i*pie/2 is correct because it can also be any integer solution of it