EXPLANATION || V.K.Bansal Sir 🙏ही अकेले थे जो बोले Correct Answer a = 0 || Bhannat Maths | Aman Sir
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- Опубліковано 25 вер 2024
- JEE 2014 का ग़ज़ब का सवाल || V.K. Bansal Sir ही सही solve कर पाये थे || Bhannat Maths | Aman Sir
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V K BANSAL SIR GOOD TO HAD SUCH A LEGEND IN OUR COUNTRY
Newton Good to have sucha legend in our planet
I got it immediately, alumni of Bansal classes 2013 batch 11th nd 12th, currently an ECE engineer, working in field of AI, and not a student of any IIT.🙂 KEEP MOVING.
Any tips sir for a jee aspirant?
@@hardikgaur4 tip for jee aspirant:- dont keep on asking tips!! Start doing some work!!
@@binodtharu8348 nice
@@hardikgaur4 learn fundamental, practice advance. Maintain yourself in run till the deadline with happy mind.
@@elevatorgamerslife8915 , o, o o o, oo o, oov,, o oo, , o, o o
How a student supposed to figure this out in an examination under such pressure?
Nahi kar skta , tabhi to jee ka question hai bhai. Eske alawa baaki topics se 40-50 percent score kar lo selection ho jayega
@@adityamanohar2564 Ok great. FYI, I'm actually a 32 old married guy settled in New York City. For the sake of relevance, the channel is allowed to have diverse audience, doesn't it?
@@roger72715 ya ofc
Btw I'm 25, so diverse audiences are allowed 😂
@@roger72715 that's why this is jee advanced.. even if a student scored 60% then he will in the top 3 iits
Are bro aise questions leave karne ke liye hi hote hai, pehle woh questions attempt karo jo percentage banaye
Yeh questions leke baithonge aapka time aur confidence loose ho jayenga
Speechless 😑😑😑😑😑. What an explaination. Tribute to V. K. Bansal sir 🙏🙏🙏🙏🙏🙏🙏
Bansal sir mar gya kya 😢
@justaguywhoisanidiot159 rip bansal sir 🙏🏻. He was truly a great teacher
who asked for your speech ? 🙂
@@rajadawn who told you to poo here 🙂
Ye to bohot aasani se samjha diya sir! 😀👍👍💖💖
Firse dekh
Aasani se karne ki koshish kari thi kya
😊😁
Ye sir math ke hero hai
Respect to those students who solved this question correctly during examination.... When most of the faculties are solving this question wrong......
Main point is when considering functions, f(x) ^g(x). g(x) can be anything. But f(x) has to be non negative. Integer exponents or powers of negative numbers are defined, but the definition does not work when the exponents are functions taking non integer values. This is why when a =2, the expression is not defined near x = 1. Or the neighbourhood of 0 is not in the domain of the function. So a cannot be 2. The only cases when the limit can 1/4 is a =0,2. But if a= 2, the expression is not defined near 1, so no limit exists at 1. When a = 0, the function is defined, and limit calculation gives 1/4. V good question.
This is the right explanation . And there is nothing rocketing ( which sir is talking about in this video)
I understand this video in one shot.
Thank you sir for this explaination 🙏
Yes
It mean you are great
But the answer can be 2 as well as by defination of limits we can insert the limit of x after removing the singularity in Limits.
I am Gate Aspirant and watching this video... What a Concept ❤❤❤❤
it's good to have an explanation like this but these questions don't imply general mathematics, they are conditional, in one condition you are expecting the value of a=0 and (1/2)^2 to be 1/4, and in another condition it been accepted that if a=2 then its (-1/2)^2 is not 1/4 although the limit is same for both and x tends to 1. hence, they are tricky questions need not to be generalized in any case. the real objective of this problem was only to highlight " the even root of a negative number is undefined for real numbers". because the faculty who makes the question work on real life problems and sometimes they go under this kind of situation therefore these kind of questions are asked. my suggestion for the JEE aspirants would be to only focus on the conventional course and just make one-liners for these problems, otherwise if you would apply these exclusive events in every problem then it would create confusion.
It is not 1/4 it's tending to 1/4 due to its limits and in calculate (1/2)^1.999999999999999999 it's tending to 1/4
In limits we always put nearer values and tabulate the results, if the results are unidirectional and do not fluctuate then we establish the approximate value of the results as the answer, a=2 is not the correct result as when we move towards a=2 , the value alternates between 1/4 and undefined...
This kind of reply make aware to UA-cam teacher who do anything for their views. Thank Sir/Madam.
Totally agree sir 👍.
This is the teacher who is making 2 and 3 videos and giving suspense like why Bahubali katapaa killed bahubali although he(this teacher) could explain the solution in his first video but at the end he created suspense and made 2nd video with the caption of VK bansal sir. He did all this only for views 😂😂😂😂.
Exactly and this is where I take offence on these types of questions. It feels as if the faculty is trying to make the question difficult just for the heck of it cause such conditions could be applied to every single x in the equation and in that case, this becomes a topic of research and not a question which could be asked in a competitive exam especially one as difficult and important as JEE.
De Moivre's formula case 3:
(Positive)^fraction = returns real numbers
(Negative)^fraction = returns complex numbers
Wohi toh .
Yeh (-ve)^(odd int. / Even int.) Wala term incorrect hai
@@kaalakaboola1932 sahi hai bhai term kyuki fraction to 4/2 ko bhi bolte hai jo 2 hota hai
@@ajeet8144 even by even hojayega 4 by 2
1/3 odd /odd ye bhi to not defined hoga sir
(-27)^(1/3) yields real numbers
Sir,as i am a student of 3 rd year mathematics honours..your explanation looks too crystal clear to me..i am here to learn more from you and since physics wallah pace series whenever i get time..i listen to your classes ❤️❤️ and neighbourhood is a concept of real analysis..good to see sir explaining this 😀😀
@Aditya Varshney 😊😊❤️
Jee advance is too overrated and teachers try to show eassy questions tough , don't I have qualified jee advance, iit jam , nbhm ,tifr, gate ,csir net , in mathematics just by self preparation, you just need to solve standard book that's it .
I think analysis should be in 12 th standards or atleast limit ,continiuty differentiablity should be in pure analysis manner and there definition should be given in standard way means that epsilon delta definition so that students get the real idea about the analysis .
@@rudradansena6298 lie
@@rudradansena6298 what books for IITJAM Maths?
I am waiting for this....✌✌
Though I am not good at maths, actually I am a weak student In mathematics. I have done graduation in English, but when I saw the thumbnail it attracted me to see the story. And it was really amazing. That concept of limit was good. I had not the idea that even odd power of a negative nos is not defined. Today I learned a new concept. Thank you very much. I understood a little but about the concept why 0 is the right answer.
Since x cannot be = 1 so a cannot be = 2 , x is tending to 1 & a is tending to 2.. it's maths of limits.. explanation is very good. Bansal Sir is Great..
Thanks Sir for sharing the beauty of JEE Advanced ❤️❤️
Boht aasan question h, 50 minutes ke video banane ki jarurat hee nhi thi🤣
@@karan7070 🤫
@@karan7070 bhai tera bhi JEE ADVANCE me uss time kata hota na. To tu yaha nahi aata apna comment leke
@@karan7070 Bhai Tu rehne de. Solution dekh k to mujhe bhi halwa sawal lag rha h par solution dekhne se pehele esa kabhi exam me nhi soch sakte h
THIS IS A VERY EASY QUESTION:
JUST APPLY L-H RULE AND 2 WILL BE REJECTED AUTOMATICALLY
LIKE ME IF YOU GET IT
JUST APPPPPPLLLLLYYYYY LH RULE
simple technique was that we could take log then if we place a=2 inside log value is negative and when a=0 log quantity is positive so 0 compleatly satisfies so answer is 0
I'm in 11th this year and saw this amazing question found the solution and got so many things to learn.....i hope i learn more concepts like these
Bruh I came here I know now how motivated I was back then
Wahiyat dp
@@shubham_bandhavakar8826look what they did to our boy
Mast dp
Apko bhi salute sir ji ki aap bhi toh pakad liye tha iska Fanda. Aman sir ko naman 🎉🎉🎉❤❤
Most of us forgot the basic definition of limit i.e. limit- approaching but not achieving
Sir....hats off to you..because your answer was also 0.....really impressive..
Amazing explanation 👏 I had actually subscribed to your channel waiting for this session
Jab 2 ke neighbourhood me not defined hai to overall value bhi 1/4 nahi aaegi.
Jab limit ki value 1/4 bata rakhi hai to wo defined value hai. Means power 2 ke liye di honi chahiye. Na ki uske neighbourhood ke liye jaha pe value 1/4 bhi nahi hogi. 🥴 2 hona chahiye answer to 🥱🥲🥲
It's given in the question that the value is =1/4
I think every student's should have read question carefully.because one mistakes makes big change in result.here in this case we all are understand x=1,but actually x tends to 1 .this question is very simple as another question but one mistakes we all are doing during solving.so that's make this question unique.thanku sir for discussion for this critical mistake we are doing in different exams.thanku 🙏
Finished MBBS,
Cracked NEET PG 2022
Had PCMB in 12th...
After understanding the solution.... Just loving sir's way of teaching...
This is the beauty of maths ❤️
(Although cleared jee mains in 2015 with AIR around 3k...but took admission in MBBS )
Tumse kisi n pucha 😂 vele ka Gyan de re ho 😂😂
@@tanmayverma5947 jali na..teri jali na ..?🤣🤣
@@tanmayverma5947uske liye bhut mehnat lagti he 2 saal agar usne itni mehnat ki he to flex krne de khud berojgar jese phuch gya
@@kitkatbii ohh like really jaise mujhe toh pta hi nahi h 😂 tum uske well wishers na bno tumne kya ukhad liya h 😂 life m
@@tanmayverma5947 not suitable for a gareeb baap ki aulad like you
ek bari mein aagaya sir thanku so much🙏👍⚡
Yes sir u r right, I have seen and solved this question, it is in my book(arihant publication of 7 volume) and its answers is still given 2 in the latest edition of 2022.Sir I love u and u are my Inspiration 😊 🙏 🙏
Sir you are a legend..... Meri life mei itna easy explanation nahi dekha hai.. I am a dropper.... So i am saying this...
whenever you are confused and one of the answer of mcq is 0, 90% chance is there that 0 would be the correct answer 😂😂😂😂
Integer type tha
Sir, This is urgent, I think this is completely wrong.(please correct me if i am wrong), yes the answer should actually be 0, but this is bcaz limit of composition of functions exists only if the outer function is continuous on the limit of the inner function. limx->a f(x)^g(x) is SOLVED IN THIS FORMAL WAY 👇 ,i.e by taking the natural log ln (limx->a f(x)^g(x)) = limx->a ln (f(x)^g(x)) = limx->a g(x)lnf(x) = limx->a g(x) × limx->a lnf(x)=limx->a g(x) × ln(limx->a f(x))= ln((limx->a f(x)^(limx->a g(x))). Now since natural log function is injective , this becomes equivalent to the simple case law lim x->a f(x)^g(x)= (limx->a f(x))^(limx->a g(x)) ----(i) . BUT OBVIOUSLY FROM THE WORK ABOVE WE CAN SEE THAT THIS IDENTITY WILL ONLY WORK FOR POSITIVE VALUES OF (limx->a f(x)) BECAUSE ONLY THEN THE NATURAL LOG FUNCTION IS DEFINED AND AlSO CONTINUOUS IN R. In the problem we see that for a=2 (limx->1 f(x)) is negative hence identity (i) doesnt work now and we cannot solve the limit in R. Obviously for a=0 it works as it gives +ve value for (limx->1 f(x)) AND Therefore THAT IS WHY a=2 is wrong and a=0 is the correct answer. Also , this aside a much much more important point to note is that the explanation itself is completely wrong, lim x->a f(x)=L , means that as x is getting closer closer to 'a', f(x) is getting closer and closer to which EXACT value. Yes x never reaches a, and thats why nor is f(x) alone equal to L, BUT, the expression "lim x->a f(x)" is exactly equal to L that's why there is an equal sign in the first case. This is very imp to understand.
Thinking through logarithm will give a much more satisfying understanding of rejection of the answer 2.
exactly i did tht only
ikr? i took log the moment I saw the question. no need to be complicate it
can you elaborate on this?
????
I understood in the first go sir
Thanks a ton from a maths lover and a jee aspirant :) ✌😊
Even in 2022 Cengage Calculus (G Tewani) its Answer is given 2 and they hadn't rejected 0 in solution too.
It's concept in bsc honours mathematics in topics real analysis ko samjhoge to badi asani se solve ho jayega.sir good explanation.and very concept tual question.REAL ANALYSIS is the heart of mathematics in higher mathematics.
I have got Another explanation
if a=2
Then the numerator a(1-x)+sin(x-1) will be greater than the denominator x-1+sin(x-1) and squaring it will result a number greater than 1 and not a fraction hence we can rule it out
how?
I like your explanation, but there is a much easier way of explaining it, as follows:
The function k^x
-- is continuous throughout the range of values of x when k>0.
-- is discretely defined for only positive integers when k < 0.
Since lim(x->1) √x+1 is not an integer, only positive k solution is acceptable.
Great explanation. Maths really is amazing. And why am I watching this video as a final year MBBS student is a bigger mystery.
Make the video short and to the point...half of 1/4 th of video in solving then getting to understand why a=0.
Ek question mere paper me aaya tha jo koi solve nhi kar paya tha school me sabka galat tha par maine solve kar diya tha 😊 vo increasing decreasing ka questions tha steps thode similar the jaise ki interval ka bada role tha usme
❤❤ wonderful explanation sir.....negative ki power odd by even is the only key to unblock the Question...
Ashish agrawal sir explained it yesterday very easily
Same chiz dimag me aa gayi thi par negative ki odd/even power is not defined is par dhyaan nahi tha isliye me hamesha
RHS and LHS lekar karta hu
Thanks sir for this excellent explanation and speechless observation 🙏👍
-ve to the power (odd devided even)---by it's property not defined
Salute 🙏 to Bansal ji and you sir
Lol your pfp 😂😂
Outstanding great.
Listening to you, every math problem feels like reading a beautiful O Henry short story.
Sir u are true iska answer abhi bhi 2 hi hai generally❤❤❤❤❤❤❤
8:55 Most teachers just give facts without background details. Power of the negative number concept is missing. Mast baat tab hoti jab wajah batate.
(-ve)^(integer) is only defined, and other than integer in power is not defined , like 2.5, 1.33, 0.88 etc, and there is no as such thing exist like (-ve)^(odd/even) is only not defined, it can be (-ve)^(even/odd) also, like (-0.5)^(4/3)= (-0.5)^(1.33) is also not defined, what i think you have only discussed a part of the concept at 8:00 min and missed the same in subsequent time. And that is the reason at the end of the video you was seems to be like putting extra effort in order make to the student understand the concept. Rest thanks for the concept revision.
Sir I have a doubt regarding that why can't we treat differentials as algebraic expressions ; and when can we treat them like that. It would be huge if explain it in a video. No-one is explaining it 🙂🙂🙂🙂🙂🙂🙂🙂🙂
As far as I understand your question you are asking that why can't y' or y'' be treated as algebraic expressions. This is because d/dx or d^2/dx^2 are operators. They operate on a variable depending on x. They transform the function from one space to another. dy/dx doesn't mean multiplying y by d/dx. There are also integral operators like (Laplace, fourier, mellin) transformation where you have to integrate a function multiplied by a weight factor (usually exponential) within a certain interval. Also the operators which we're dealing with are all linear.
Quantum physics explains it.... Read and Understand Quantum world. ...
It is so simple ...(1-sqrt x ) on the power should not have been canceled ....coz it is negative..
it is like saying -5 is greater than -7
How 1-√x is negative and how is it reflecting in power???
Sir that I can understand it, but if we take zero there then the power is tending to 2 then it is not 🚫 equal to 1/4 which is mentioned in the question ❓ then it should be 2 if the result should be 1/4 🧐 so, by the above question mentioned 1/4 the answer should be 2 ⁉️
Crystal clear explanation ❤️👍
Maine to base me L Hopital laga diya aur answer 0 aaya, magar maine power me vamies direct rakh di thi.
Sir pura majabut dil hai and sir bahot jyada achha explain kiya hai pata chal gaya and sir me aapke pahle batch accelerate se hu isliye fan to hu hi
Thanku so much sir
Sir ese questions late raho please it will help us for upcoming jee
2014 me mene bhi diya tha IIT ka paper, purane yadein taza ho gyi
I am so excited to know
Same logic mera bhi tha.....1st time me hi mujhe x=0 hi sahi answer laga tha. But jab mene suna ki sabne hi galat answer diya tha to ye soch ke comment nhi kiya ki logic kuch bada sa hoga😂😂😂..
1.9 bar =2, then how (-)^1.9bar is not defined where( -) is a negative no. .
Brilliant expression 👍👍
Sir bilkul samajh Gaya 👍
Sir humare Allen ki sheet mein 0 hi answer diya hai .. aur humein jo solutions mile hai usme same type detailed explanation hai ....😀😀.....❤️❤️
Are baad me change kardiya hoga bro
Haan bhai badme change kiya hai kyunki agar tum unke 2014 jee ke video solutions dekhoge to unhone vahan answer 2 likha tha
Hn bhai yahi question mene 20-25 din pahle kiya tha aur mujhe concept pata nhi tha ye base wala par solution video dekhke smjh aagya tha
Bad m change Kiya
Explain: (-3) to the power2/3
= (-3)to the power1/3 to the power 2
On basis of od int/even int in power of -ve value not define
Watched this video around 6 moths before and now when today solving did same mistake now came back to again understand the concept
Sir lekin agar 2ke badle me 19999999999/10000000000 power me hai to ye phir integer Kahan hua
Yt pe Esa khatarnak deep me math padhane vala ek lota channel mene solve ker liya tha 🙏🙏🙏🙏🙏
Thank you sir for easy explanation.....!!!🤓
For kamjor dil wale
Step 1 : try to understand
Step 2: do step 1 again
Step 3 repeat step1 and step 2
10 times and u will understand😂😂😂🔂🔂
so a=2 will give higher denominator and a=0 will give lower denominator so a=0 will give higher value for the term
For a=2, it will be undefined
Sir this was an amazing question and an amazing explanation
Question dekh ke dil khush ho gaya.
Sir मज़ा आ गया। Main toh Practising Architect hoon, yu hi aapke videos dekhta hoon, bahut knowledge milta hai.👍
but when a=0, then also power is tending to 2. Then cannot be equal to 1/4.
At the same time, the limit of a continuous function at a point is just the actual value of the function, right?
can anyone give me the feel that why negative raised to odd/even is undefined
plzz anyone reply i want to know this otherwise like sir this questions also revolves in my mind
Aaj tak aap ke callibre ka Tr. Kabhi nahi mila hai mujhe.
♥️♥️♥️🤩🤩🤩🔥🔥🔥
Thank u so much Sir.❤️
The concept is very simple.
Limit not defined at that point.
Limit is not needed to be defined everywhere, just simply revise your concept from Limit chapter.
( Revise concept left and right hand limit to understand that limit can't be defined always, means you can't put limit value exactly all the time)
Mind blowing. I am extremely happy to be a math lover, sir.
Sir you are my favourite mathematics teacher!!!
Sir sahi bataun toh badiya samjhaya bahut apne
Sir as you explained that (-ive) to power tending to 2 is nearly not equal to 1/4
Then how (+1/2) power tending to 2 is eqal to 1/4..
Negative number to odd Power is undefined
Why are we confining our limit discussion only to the real domain when it is not explicitly said in the problem? a=2 is also a perfectly valid solution because whenever the answer becomes complex, it is quite easy to see upon careful application of De Moivre's theorem that the imaginary part of that complex number tends to 0 in the neighborhood of 2 and the real part tends to 1/2?
Sir yeah question main sinx ke expansion se solve Kiya bhaut easy tarike se solve hogya
Sinx ke expansion se x= -2 and x=0 aaya
Non negative answer x=0 correct answer hain
गलत
Sir you can take a log on both sides and after that split limit on both sides because both limits exist and you will observe that domain of a is [0,1) so you can conclude that a=0
Sir but meine tho first lecture mein he answer sahi likal liya tha but your story is relatable and not useless the moral value "is to not copy others" and sometimes a very small silly mistake can't catched because of pressure love you sir ♥️♥️
Wah sir!! Maja aa gaya
You are great sir
Such an amazing question bohut kuch seekhnekomila hai sir Thank you so much for this amazing question.
Me to bio vala hu fir bhi samaj aa gaya
Maza ageya sir.
Dil garden garden hogaya.
Mind blowing sir . I could understood this tough questions easily.👌👌❤️
Legit mind blowing
The exact answer of a is 1.6020 for which nearest Integer value is 2.
I am a biology student and you all can understand ki ye concept mere kitne meter uper se gya hai 🤣 But I literally wanted to understand this so I am going to watch this on loop 😅
Edit:- I understood that concept & it's insanely deep for me. But I am happy that I understood. Thanks a lot sir ❤️ aapne ek biology wale ko itna deep maths sikhaya hai 😅 love ur videos ❤️🤗
As x tends to 0, x
@@ashwanibeohar8172 yes I understood that 👍🏻
इसमे क्या बडी बात थी. Limits मे तो ये important होता है. जिन्होने नोट्स मे नहीं दिया उन्हे लगा होगा ये आसन है
So i think this is the logic about the questions:-As the limit is not approaching towards so it is apporating to the smallest individual points (1.2 1.3) so 2 .we left with 0 which is an integer.. hence forth this 0 is the corr answer
Sir this explanation is right.. But my point is that if we take LHL and RHL of the limit then, we will put h tends to 0 at the end. This type of limit we use many times during calculation. Both LHL = RHL is also coming. So, this is very much debatable. In many questions of limit, we come across such type of questions and we put the limit simply. But here, just to take the 0 under consideration, the justification is correct.
Sir abki baar (1/-2)factorial wali explain karnaa please 🙏🏻🙏🏻
Thank you❤ sir, I was egarly waiting for this video ❤❤❤❤❤❤
Itne aasani samjha diya ,Sir. Hats off to you.. with huge respect...🙇♂️
(-1/2)^1.9999.....inf. or (1/2)^1.9999......inf. Doesn't mean √-1/2 or √1/2 . Concept of imaginary no is not applying here only the negative nature of the no is causing the result to be 0. Because for all the values of X tending to 1, the term -1/2^1.9999999.....inf9 or 2.000000....inf1 wolud be a negetive term and therefore the answer should be A= 0