To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/EllieSleightholm. You’ll also get 20% off an annual premium subscription!
I was jee advanced aspirant 2024 And i wrote the exam And trust me its so hard u have to be present 8 hrs for that exams. Questions are quite familiar cause we have already done our mock test, pyqs, and books So it become quite ez To score 100+
@@NameckSullyvann It really was I think, since this year a kid scored the highest marks ever achieved in jee advanced, 98.6%. Though the cutoff being higher, as mentioned in the original comment, is a better metric for that.
@@NameckSullyvann Believe it or not the cut off was relatively high.I know seniors who've scored triple digits who were struggling this year during counselling sessions.Some of the qns in this yrs paper were similar to relatively tough qns in JEE Main past yr papers.I vividly remember having solved a qn similar to this limits qn in a Mains Mock test.
The hardest popularly known high school math exam in India is ISI, if you consider olympiads its INMO. Also,JEE has 3 subjects so technically it isn't a math exam. This year, Math was easiest, you can try Jee 2016/19/22. Math of those years of Jee advanced peaked, would be fun for math enthusiast like you.
Bro, this year all the three exams which you specified are very easy. People got 102/102 in INMO_24. ISI_UGB was also relatively on the easier side. I felt CMI_24 entrance was a bit tough.
@MedikonduriAaryanSriram I see,Damn,didn't know people got perfect score in INMO. But in maths at high school level in India obviously they are hardest then comes Maths of Jee Advanced.
The First Intergration question is quite tough but you slove it in very easy ways. Last Year i appeared in this exam and i score 234 out of 360 and in maths 96 out of 120.
At 14:06 while squaring (A+B) form, you missed the factor 2 of 2^Sin ()Cos(), which got simplified to Sin (2 p) form where p= x/2. Nice, neat explanation enjoyed it.
There is another way to solve the differential equation at first problem: 10x⁹f(x) - x¹⁰f'(x) = 9x⁸ Divide both sides to 10x²⁰: f(x)/x¹¹ - f'(x)/10x¹⁰ = 9/10x¹² Now notice that LHS = [f(x)/-10x¹⁰]' Hence: [f(x)/-10x¹⁰]' = 9/10x¹² İntegrate both sides: f(x)/-10x¹⁰ = -9/110x¹¹ + c f(x) = 9/11x + a.x¹⁰ Use f(1) = 2 : 2 = 9/11 + a hence a=13/11 That implies: f(x) = 9/11x + 13x¹⁰/11
At the second line I found out: dividing by 10x⁹ the equation turns: f(x) - xf'(x)/10 = 9/10x² 10f(x) - xf'(x)/10 = 9/10x² If we just divide 10 we find it similar to Lagrange's MVT which is f(x) - f(0) = xf'(x) just that the coefficients are different. 😅
@@xnonqme3716for a mcq type it's OK but for subjective solution this doesn't seem to match the idea. We take the form of a function as a polynomial right?
Really enjoying this. Even though I'm not studying for an exam. I'm just re-learning maths in my leisure time, it's nice to be able to judge my knowledge against math exam papers.
Ellie, I cannot express how profoundly your video has impacted me. Today, I happened upon your Super Math Questions masterpiece, and it was like a breath of fresh air amidst the chaos of my JEE preparations. In the face of mounting backlogs and the weight of expectation, your video was a revelation-each problem you solved not only invigorated my mind but rekindled my love for mathematics in a way I hadn’t felt in a long time. On this New Year’s Day, I found in your video more than just academic brilliance; I found inspiration, a reminder that perseverance and passion can transform any challenge into a triumph. Your effortless elegance in tackling the toughest of problems has renewed my spirit and made me believe that even the most daunting tasks are within reach with the right mindset. Thank you for being such an extraordinary source of motivation. You’ve turned a moment of doubt into one of unwavering confidence. Truly, you are a beacon of intellect and inspiration. Wishing you continued success, Ellie-your influence is immeasurable.
In Q1 u can just substitute for the value of x in the options and u will find B &D are possible answers so u just need to solve till u get the form f(x)= a/x + bx^10 which indicates B is correct
First of all, 2024 questions were comparatively easier than previous JEE ADVANCED papers, and second important thing is that these questions are being asked to secondary students(12th standard) to solve them and that too within 2-3 minutes per questions. This And similar factors make this exam quite hardest in world( 2nd toughest exam in world) !
Also, in the second question (Trig), it is important to note that sinx is positive, given x is in 2nd Quadrant and cotx is -ve. This doesnt change the solution but if x was in Q4, it might.
JEE advanced is one of the hardest at high school level. Arguably not even the hardest even at that level. Once you start studying pure math, you will encounter much harder stuff
This isn't any maths exam Maths is just a part of it along side chemistry and physics And all three subjects require a hell lot of practice with combined syllabus of 90 chapter and not just basic but like advanced too.......
As an Engineering Final CS Undergrad,it feels so nice to see the questions which I used to solve during my exam Preparation and coming back to solutions brings a sense of excitement after solving.Keep it Up!!
i think you are misinformed, the hardest maths exam in india is not jee advanced but the entrance exam of Indian Statistical Institute ( ISI ) and entrance exam of Chennai Mathematical Institute ( CMI )
those exams are coming up on my channel 😎 that’s why I said in the title that the JEE advanced is ‘one of’ the hardest because it’s still a very challenging exam! Look out for the others coming soon 👀
@@NN-fw9il see rmo comes under olympiad category and all countries have their maths olympiad papers if not same then tougher than rmo/inmo. ISI/CMI/ADV comes under college entrance exam category in which indian exams are far tougher than most in the world.
JEE is relatively easy these days .. JEE used to be a lot harder in 1980s and 1990s.. I remember that mathematics cutoff at times used to be less than 10 or so .. I was able to clear the screening but couldn't clear the mains ..
Q2. You can be a little clever and substitute cos(6x) as sin(pi/2-6x) This will take you to cos(x/2) + sin(x/2) and cos(x/2) - sin(x/2) quicker than using identities This was a great video to watch, especially your explaination. Cheers!
Hey, I am from India and I am student. Very thankful of you for reviewing this. One thing I wanna say is you will see many hate comments or people saying this is easy or difficult this and that. Kindly, ignore these comments. They are brain rot kids. Don't make stereotypes against us. You are doing great work.Thanks.❤
To say that it is the hardest of all is to really misunderstand the Maths entrance exam for the *Grandes écoles Françaises X-ENS*. The level is ridiculously high.
If either of you have links to these exams translated, please send them over!! I’m wanting to do a video on these exams but can’t find the right resources! Thank you 🤩
@EllieSleightholm My friend just finished the translation in english. Thanks to him. I share with you the link of one of the most difficult maths competitions in France. It is the level equivalent to 2 years after the Baccalaureate exam. Candidates are on average between 19 and 20 years old. drive.google.com/file/d/1SYERr3w4ArAhK-ZZp6sKEmJVqgxkTCEs/view?usp=drivesdk
Math olympiads will certainly be challenging and out of the box- if you plan on covering them, maybe start with the BMO-1 (British Math Olympiad Round 1). Edit: Oops, just seen some olympiad content on your channel. Cool stuff!
It's not a Mathematics exam but physics, chemistry ,maths in 3 hours for 12th class student among ~15 lakh students for ~15 thousand seats. So yes it is world's 2nd most toughest exam. even by toughness of question in time pressure. Yes
Try solving ISI's B.Math entrance or CMI's entrance. Nice questions. Or if you want some less difficult content than these two, go for some questions from IAT. Wrote them all, qualified them, so I can tell from experience ! (personally I loved giving all of these)
But those kids spend years preparing for this exam, so nothing unique about the exam. Every entrance exam across countries is tough. South Korea, china etc
Since it's an objective exam with roughly 3 minutes per question. Faster way is to compute f'(1) after the use of l'hopital which comes to 11. Differentiate the options to check which one matches this requirement.
@EllieSleightholm at 13:58 you should have written A² = sin²(x/2) + cos²(x/2) + 2sin(x/2)cos(x/2) You missed writing the coefficient of the sin(x/2)cos(x/2) term. Correct solution otherwise. Thanks Edit: Just noticed someone already pointed this out. 😅
I have given multiple maths Olympiads and even JEE Advanced 2016 as well, wish there were lot of guidance and information as it is in 2024, I would have cracked it but multiple factors 1. Boring School that needed mandatory attendance 2. Annual Day shit of my school 3. World worst coaching here - Sanshiksha and I was exprimented 4. no study environment in home 5. Not allowed to drop or go to Kota If someone say why didn't you cracked JEE, I wants to give sharp blow on his face, now I am earning 200K$ a year but still not cracking IITs would be still in my heart and I will die with this dissatisfaction and regret and remorse
Probably a bit beyond where I currently stand with my studies. Can actually follow some of it, even if I don't fully grasp why yet. Thanks for the things that you do! ❤
@EllieSleightholm Not really, although I appreciate you asking. You just doing what you do acts as an inspiration for me to keep going. As an older fella who had a rotten experience learning maths, as a kid. I wanted to give it another go on my own terms. I was 'roughly' at an early 'A' level standard in my formal schooling. Managed to muddle through the first year of an engineering (electrical & electronic) degree, that I never completed, in my youth. Never looked at maths since, until recently.
Try giving IOQM and the later stages (RMO, INMO) this year was relatively very easy. Please note this exam is given by students ranging from 13 years to 17 years and it the same paper for all Also liked the video!
I appeared for IIT-JEE entrance exam twice in year 2000 & 2001 also my entire engineering was without use of L'Hopital rule. This is also the first time in my life I have heard of L'Hopital. I am from 2001-05 Batch Engineering in India. :) lol
I genuinely have no clue what you are saying but i am blown away how you understand it. My question is, how did L'Hôpital know what to do in 1696 and why hasnt the theorem been updated since then? Can this theorem be improved?
Great Video - I tried solving a JEE question after 3.5 decades, and realized how rusty I was... For Q1, I used an alternate method. I assumed Y=(A/x+BX^10) as all 4 choices were of this form, and substituted into the equation, applied L'Hopital's rule, to get A=9/11. That found choice (B) as the solution. Much faster. I had forgotten all about the integrating factor till I saw your video and remembered my maths teacher drilling it into our heads!! In the second Q, X is in the second quadrant, and hence Sin X was +ve, and that is why we take the +ve root for A - thought it is important for the student to recognize this. In the 3rd Q, it is easy if you recognize (AXB).C is just the determinant of ((Ax, Ay, Az), (Bx, By, Bz), (Cx, Cy, Cz)). This is also the test if 3 vectors are coplanar.
ingenius solution to the first one, subbing it that way is so much quicker. i tried cheesing it but couldnt find the right way and had to do it the lengthy way while i was attempting that q. I also didnt notice the negative sign and didnt realise there was a negative sign there until i read your comment, but how do u tell if its in the second or fourth quadrant?
I suppose for the third problem where you are doing (OPxOQ ).OR=0 , the vector , OP X OQ is perpendicular to both OP and OP and since (OPxOQ ).OR=0 , OP X OQ is also perpendicular to OR , here OP X OQ is perpendicular to 3 vector in 3D , it can only be possible if OP . OQ and OR are coplaner , if they are coplaner then volume of parallelepiped formed by OP , OQ and OR as adjacent side is going to be zero , and i believe volume of parallelpiped is given by determinant of matrix [OP, OQ,OR] , where OP , OQ and OR are column vector of matrix
In india you can attempt jee advanced exam when you are just passed 12(17-18years old) or following drop year. Only two times in your life. In three hours you have to solve physics, maths and chemistry. To clear this exam u have to clear cutoff for each subjects and overall cutoff. But to get in top colleges(IIT's) you have to score very good marks 60-65 percent of total marks. In that sense i think that indian entrance exam is the hardest in the world
Oh great!! If you don't mind I wanted to know what r u doing currently?? Just curious to know what ppl achieve years after cracking this examination!! I won't judge.. it's okay if you want to answer or not. But getting a reply would really be appreciated 😄
Hello🎉 from India.I am very happy that you cleared the jee mains exam It is not a bogeyman, this is the specialty of this exam through which the passed out students have given wings to NASA, ISRO and Space ex
Hi Ellie, great vid! I LOVE Math and your vidoes too ♥ Btw, This year's JEE Adv. paper was on the easier side, especially Math. You could try the JEE Adv. paper of the year 2020 or 2022. Those paper we relatively on the tougher side. Regardless, these questions and super fun to solve, let it be from any year's paper! CUZ MATH DA BEST!
Well this years paper was relatively easier than previous years, as someone pointed out the cutoff went triple digits somewhere around 109 or 110 , so i wouldn't say it was terribly hard, but yes there were some nice questions. Btw great job.
Honestly 2024 JEE advanced math was probably the easiest in last 5 years. Also, Students who qualify these don't go on to solve the problems completely but use tricks like in the 1st question the 0/0 was instantly determined then looking at the options we should just solve for f(x)= a/x + b*x^10 then find the values of a and b. PS- b would be eventually vanish also an intuition to the problem.
The very first question. Elimination approach from the multiple choice. f(x) must be of the form 1/x + x^10 in the multiple-choice. If it were not, then it would be 0 or a very large number. Note that 1/x term is required to produce the nonzero constant in the limit, and x^10 cancels out in difference quotient. Also, f(1)= 2. The only suitable form is 1/x + x^10 (i.e. k*x+x^10, k \in (0,1)) in the multiple‐choice answers is (B). I don't find this question difficult or beautiful. If anything, it intimidates high‐school students who are already under examination pressure.
It was my year's paper. It was so easy that it made me cry seeing the marks vs rank. With same marks, I would have got a rank = current_rank/2 and seeing data of 2022, I would have got rank = current_rank/4. This is not the toughest (of this year), but I wished I could have given a tougher paper. But yeah, JEE Adv is one of the toughest of the world.
Although I'm in 11th grade, I'm not specifically preparing for JEE advanced. I could easily solve the last two questions in the video however not as fast as the guys who are enrolled in coaching centres. Couldn't solve the first one after Lhopital's rule as I have not studied Differential Equations yet. Also, do try ISI entrance questions. They are more theoretical than computational.
@Andrew-Tsegaye I hope she would do it…we need math teachers like her in US…I can’t learn anything from US Math professors at all…they can’t teach…I watch all RUclips videos for all my math classes…
I'm not sure your answer to number 3 is correct. From tanx = - sqrt(11)/5, you draw your triangle, but you dropped the minus sign. You *can* use this approach to calculate abs(x), but you need to multiply by -1 again when computing sinx, i.e. sinx = -sqrt(11)/6. Which would mean the answer is actually D). Although I might be being dumb
CMI & ISI have the best undergraduate math program in india and they conduct a test of their own which contains both objective and subjective questions. They are tougher than JEE. You should have a look at them as well. After analysing them can you also please let us know the entrance exams with equivalent toughness around the globe ?
Ellie You should try the CMI (Chennai Mathematical Institute) paper. Probably That's the ultimate OG mathematics paper in India 🇮🇳. Btw ❤ your effort and more importantly You❤❤..
Go ahead With Tranquility and Prosperity of the Mind. Your psychological expression emphasize you do bear Inclusive mind and that's affirmative side of yours.. Never lose your character like others if possible as the real beauty lies on Character and behavior of a person.
I took my IIT exam in 2014. Seems that the advanced paper got a lot easier looking at these. I still was able to aolve these questions after so many years. During my batch, even the JEE Mains questions were harder than these. I could not even qualify Mains😅 anyways long story.
Try JEE 1997, it is one of toughest Maths exam probably in the history of mankind. We hear stories of how legends cried and still have its nightmares 😂😂😂
![Seungmin "그렇게, 천천히, 우리(As we are)" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/kAzmhLHePqU/mqdefault.jpg)
To try everything Brilliant has to offer-free-for a full 30 days, visit brilliant.org/EllieSleightholm. You’ll also get 20% off an annual premium subscription!
I was jee advanced aspirant 2024
And i wrote the exam
And trust me its so hard u have to be present 8 hrs for that exams.
Questions are quite familiar cause we have already done our mock test, pyqs, and books
So it become quite ez
To score 100+
Have you gone through Vedic Mathematics? You know mathematics was born in India while whole world lived in dark ages.
@@karthikreddy8567 bro 😭😭 STOP THIS CRAP IN COMMENT SECTION
@@idkmynameo why bro. They have whitewashed the truth. They are teaching distorted history to the whole world. Everyone should know the truth.
She saying it hardest meanwhile us who cooked this exam
This year's maths was relatively a lot easier, the cutoff went triple digits 💀🙏
It's always the easiest one with you😂
@@NameckSullyvann It really was I think, since this year a kid scored the highest marks ever achieved in jee advanced, 98.6%. Though the cutoff being higher, as mentioned in the original comment, is a better metric for that.
Though the cutoff being higher than usual, as mentioned by @epikherolol8189, is more telling of a metric for that
Nobody asked
@@NameckSullyvann Believe it or not the cut off was relatively high.I know seniors who've scored triple digits who were struggling this year during counselling sessions.Some of the qns in this yrs paper were similar to relatively tough qns in JEE Main past yr papers.I vividly remember having solved a qn similar to this limits qn in a Mains Mock test.
The hardest popularly known high school math exam in India is ISI, if you consider olympiads its INMO. Also,JEE has 3 subjects so technically it isn't a math exam. This year, Math was easiest, you can try Jee 2016/19/22. Math of those years of Jee advanced peaked, would be fun for math enthusiast like you.
Bro, this year all the three exams which you specified are very easy. People got 102/102 in INMO_24. ISI_UGB was also relatively on the easier side. I felt CMI_24 entrance was a bit tough.
@MedikonduriAaryanSriram I see,Damn,didn't know people got perfect score in INMO. But in maths at high school level in India obviously they are hardest then comes Maths of Jee Advanced.
Try the NBHM math question paper that's the hardest math.
Yes isi ugb is in easier side but uga it was really difficult @@MedikonduriAaryanSriram
Easier than JEE Advanced in terms of Sheer difficulty. However, both exams test very different parameters.
If u want to solve tough maths paper.. Do solve CMI or ISI ugb paper
On my list 🫡 thank you for your support!
Just what I was about to comment now!
ive had a look at cmi ug admissions papers and they’re not that bad i mean its easier than step but more qs so is the focus on time pressure?
they are decent only, not very tough imo
@Anonymous-ld6gt agreed
The First Intergration question is quite tough but you slove it in very easy ways.
Last Year i appeared in this exam and i score 234 out of 360 and in maths 96 out of 120.
I too solved that question in the same fashion as shown in the video* btw which IIT did you opt?
At 14:06 while squaring (A+B) form, you missed the factor 2 of 2^Sin ()Cos(), which got simplified to Sin (2 p) form where p= x/2. Nice, neat explanation enjoyed it.
Yes
There is another way to solve the differential equation at first problem:
10x⁹f(x) - x¹⁰f'(x) = 9x⁸
Divide both sides to 10x²⁰:
f(x)/x¹¹ - f'(x)/10x¹⁰ = 9/10x¹²
Now notice that
LHS = [f(x)/-10x¹⁰]'
Hence:
[f(x)/-10x¹⁰]' = 9/10x¹²
İntegrate both sides:
f(x)/-10x¹⁰ = -9/110x¹¹ + c
f(x) = 9/11x + a.x¹⁰
Use f(1) = 2 :
2 = 9/11 + a hence a=13/11
That implies:
f(x) = 9/11x + 13x¹⁰/11
u r looking PhD student!
@@kanya_2.0 wow thanks!
Actually im a high school student which is interested in olympiads
@@EgeSaribas05 which country?
@@kanya_2.0 Türkiye! What about you?
At the second line I found out:
dividing by 10x⁹ the equation turns:
f(x) - xf'(x)/10 = 9/10x²
10f(x) - xf'(x)/10 = 9/10x²
If we just divide 10 we find it similar to Lagrange's MVT which is f(x) - f(0) = xf'(x) just that the coefficients are different. 😅
In the first one, I think that f(x) can be replaced by a/x + b*x^10 and then take the limit of t --> x = 1, and no need for differential equations.
Why would u replace it with that specific form tho? Is there any specific reason?
Well it's because of the form of the options, they're all in the form: Ax^-1 + Bx^10. Personally, I just got f'(1) = 11 & tried the options.
you cannot assume that the second 10th power coffecient exists and rest doesn't.
f(x) = \sigma_{i = 0}^{\infty}ax^{i}
@@xnonqme3716for a mcq type it's OK but for subjective solution this doesn't seem to match the idea.
We take the form of a function as a polynomial right?
@@silverfox1754 Because all the options are in that form.
Really enjoying this. Even though I'm not studying for an exam. I'm just re-learning maths in my leisure time, it's nice to be able to judge my knowledge against math exam papers.
Ellie, I cannot express how profoundly your video has impacted me. Today, I happened upon your Super Math Questions masterpiece, and it was like a breath of fresh air amidst the chaos of my JEE preparations. In the face of mounting backlogs and the weight of expectation, your video was a revelation-each problem you solved not only invigorated my mind but rekindled my love for mathematics in a way I hadn’t felt in a long time.
On this New Year’s Day, I found in your video more than just academic brilliance; I found inspiration, a reminder that perseverance and passion can transform any challenge into a triumph. Your effortless elegance in tackling the toughest of problems has renewed my spirit and made me believe that even the most daunting tasks are within reach with the right mindset.
Thank you for being such an extraordinary source of motivation. You’ve turned a moment of doubt into one of unwavering confidence. Truly, you are a beacon of intellect and inspiration. Wishing you continued success, Ellie-your influence is immeasurable.
Airball
🥹🥹🥹 this is one of the nicest comments I’ve ever received, thank you so much 🥹
I heard that 2024's JEE adv. Paper wasn't as tough as you said even in the maths section.
Look what we got here, Tibees 2.0
stop it, that’s SUCH a compliment 🥹 I love her content
@EllieSleightholm We all do
In Q1 u can just substitute for the value of x in the options and u will find B &D are possible answers so u just need to solve till u get the form f(x)= a/x + bx^10 which indicates B is correct
First of all, 2024 questions were comparatively easier than previous JEE ADVANCED papers, and second important thing is that these questions are being asked to secondary students(12th standard) to solve them and that too within 2-3 minutes per questions. This And similar factors make this exam quite hardest in world( 2nd toughest exam in world) !
i cracked the exam in 2018, very competitive… ur videos are so detailed. love it
Also, in the second question (Trig), it is important to note that sinx is positive, given x is in 2nd Quadrant and cotx is -ve. This doesnt change the solution but if x was in Q4, it might.
JEE advanced is one of the hardest at high school level. Arguably not even the hardest even at that level. Once you start studying pure math, you will encounter much harder stuff
no shit, this is high school
This isn't any maths exam
Maths is just a part of it along side chemistry and physics
And all three subjects require a hell lot of practice with combined syllabus of 90 chapter and not just basic but like advanced too.......
So when are you gonna post a pic with your field medal dear genius?
I think what it makes tougher is it has 3 subjects which have equal weight so u need to give time to all three
As an Engineering Final CS Undergrad,it feels so nice to see the questions which I used to solve during my exam Preparation and coming back to solutions brings a sense of excitement after solving.Keep it Up!!
i think you are misinformed, the hardest maths exam in india is not jee advanced but the entrance exam of Indian Statistical Institute ( ISI ) and entrance exam of Chennai Mathematical Institute ( CMI )
RMO Math is also tougher than Advd Math.
those exams are coming up on my channel 😎 that’s why I said in the title that the JEE advanced is ‘one of’ the hardest because it’s still a very challenging exam! Look out for the others coming soon 👀
@@NN-fw9il see rmo comes under olympiad category and all countries have their maths olympiad papers if not same then tougher than rmo/inmo. ISI/CMI/ADV comes under college entrance exam category in which indian exams are far tougher than most in the world.
JEE is relatively easy these days ..
JEE used to be a lot harder in 1980s and 1990s..
I remember that mathematics cutoff at times used to be less than 10 or so ..
I was able to clear the screening but couldn't clear the mains ..
Q2. You can be a little clever and substitute cos(6x) as sin(pi/2-6x)
This will take you to cos(x/2) + sin(x/2) and cos(x/2) - sin(x/2) quicker than using identities
This was a great video to watch, especially your explaination. Cheers!
Oooo I love that trick 🤩 thank you for watching!!
😊@EllieSleightholm
This question was actually A school level question and this type of question is also mentioned in NCERT (a school book) of 11th grade
Hey, I am from India and I am student. Very thankful of you for reviewing this. One thing I wanna say is you will see many hate comments or people saying this is easy or difficult this and that. Kindly, ignore these comments. They are brain rot kids. Don't make stereotypes against us. You are doing great work.Thanks.❤
YOUR APPROACH TO THESE QUESTIONS ARE REALLY GREAT 👍
Now that I have a Physics Honours degree, I believe I can solve JEE Advanced problems faster than I could in high school.
To say that it is the hardest of all is to really misunderstand the Maths entrance exam for the *Grandes écoles Françaises X-ENS*. The level is ridiculously high.
ulm 2022 is single single harder than all the exam on this channel combined. Take a look if you don't believe me.
If either of you have links to these exams translated, please send them over!! I’m wanting to do a video on these exams but can’t find the right resources! Thank you 🤩
@EllieSleightholm My friend just finished the translation in english. Thanks to him.
I share with you the link of one of the most difficult maths competitions in France. It is the level equivalent to 2 years after the Baccalaureate exam. Candidates are on average between 19 and 20 years old.
drive.google.com/file/d/1SYERr3w4ArAhK-ZZp6sKEmJVqgxkTCEs/view?usp=drivesdk
@EllieSleightholmdrive.google.com/file/d/1SYERr3w4ArAhK-ZZp6sKEmJVqgxkTCEs/view?usp=drivesdk
@EllieSleightholm just a hint
ruclips.net/video/FYEDmCuP9TQ/видео.htmlsi=f04XIc0erFCmDUli
In the context of limits, 0/0 is indeterminate
Math olympiads will certainly be challenging and out of the box- if you plan on covering them, maybe start with the BMO-1 (British Math Olympiad Round 1).
Edit: Oops, just seen some olympiad content on your channel. Cool stuff!
It's not a Mathematics exam but physics, chemistry ,maths in 3 hours for 12th class student among ~15 lakh students for ~15 thousand seats. So yes it is world's 2nd most toughest exam. even by toughness of question in time pressure. Yes
Try solving ISI's B.Math entrance or CMI's entrance. Nice questions. Or if you want some less difficult content than these two, go for some questions from IAT.
Wrote them all, qualified them, so I can tell from experience !
(personally I loved giving all of these)
What is CMI?
@pratikbhavsar241 Chennai Mathematical Institute
Most imp Thing is.. this exam is tough because students who give this exam are usually only 16-17 years old teens...for u this is easy
But those kids spend years preparing for this exam, so nothing unique about the exam. Every entrance exam across countries is tough. South Korea, china etc
Please make a video of the ITA (Instituto Tecnológico de Aeronáutica) exam, a high school exam in Brazil
Oooo I'll add it to my list of exams! Thank you for your support ☺️
Mam you have done 2 mistakes
(a+b)²= a²+b²+2ab
And
SinA = 2SinA/2CosA/2
After looking your math my mind stopped working. 😳😳🥴🥴
Since it's an objective exam with roughly 3 minutes per question. Faster way is to compute f'(1) after the use of l'hopital which comes to 11. Differentiate the options to check which one matches this requirement.
Felling nostalgic, that was a great time spending whole day in a closed room engaging with calculus problems
In 2nd question ,you forgot to write 2 in coefficient of sin(x/2)cos(x/2)....It should be 2sin(x/2)cos(x/2) to be equal sin x.
Parabéns querida Professora pela ótima resolução!! Você é nota 1000.
@EllieSleightholm at 13:58 you should have written
A² = sin²(x/2) + cos²(x/2) + 2sin(x/2)cos(x/2)
You missed writing the coefficient of the sin(x/2)cos(x/2) term.
Correct solution otherwise. Thanks
Edit: Just noticed someone already pointed this out. 😅
yep, little slip on my part -- it doesn't affect the rest of the solution :) thanks for being so vigilant!
same :)
I have given multiple maths Olympiads and even JEE Advanced 2016 as well, wish there were lot of guidance and information as it is in 2024, I would have cracked it but multiple factors
1. Boring School that needed mandatory attendance
2. Annual Day shit of my school
3. World worst coaching here - Sanshiksha and I was exprimented
4. no study environment in home
5. Not allowed to drop or go to Kota
If someone say why didn't you cracked JEE, I wants to give sharp blow on his face, now I am earning 200K$ a year but still not cracking IITs would be still in my heart and I will die with this dissatisfaction and regret and remorse
Bro ur in early 20's and earning that money in India ? Crazy feat.
In the last question, you basically have a scalar triple product OR dot OP cross OQ, given by the determinant with the three vectors as columns.
Pretty girl + Pretty mind + Pretty math = Heaven on planet Earth :)
thanks mam for your valuable ideas....great video
Indian mathematics Olympiad exam is tougher than jee advance maths for senior secondary science stream students
For Q12 A.(BxC) is a special form and it's the determinant of 3x3 matrix with coefficients of i, j, k. That should make the representation simpler.
I love your videos ...!❤
Please make more on JEE mains and advanced !!!❤😊
Probably a bit beyond where I currently stand with my studies. Can actually follow some of it, even if I don't fully grasp why yet.
Thanks for the things that you do!
❤
Thank you for all your support, it means the world! ☺️ are there any videos you’d like to see that are better suited to your current studies? :)
@EllieSleightholm Not really, although I appreciate you asking.
You just doing what you do acts as an inspiration for me to keep going.
As an older fella who had a rotten experience learning maths, as a kid. I wanted to give it another go on my own terms. I was 'roughly' at an early 'A' level standard in my formal schooling. Managed to muddle through the first year of an engineering (electrical & electronic) degree, that I never completed, in my youth. Never looked at maths since, until recently.
Try giving IOQM and the later stages (RMO, INMO) this year was relatively very easy. Please note this exam is given by students ranging from 13 years to 17 years and it the same paper for all
Also liked the video!
while the cutoff is higher for the 17 year olds
this year cutofffs were hilarious
@@HarshitMorya-y2o paper was also hilarious
So true lol@Anonymous-ld6gt
Try ISI UGB paper or CMI, u will definitely find them tough and interesting because u have to write the proper solution
Ooo coming up! Do you have links to these?
@EllieSleightholm www.isical.ac.in/~admission/IsiAdmission/PreviousQuestion/Questions-BMath.html
hope you like it
Bro plz don't increase competition if you keeping saying it's name then number of registration would increase this year😭😭
Very nice explanation ma'am. Thanks a lot.
Hello ellie😄 if you want to solve toughest maths paper then try ISI or IAT NEST papers
ISI exam is way harder than JEE Advanced
I am from India. I saw your lecture, your way of teaching is very good❤❤
I appeared for IIT-JEE entrance exam twice in year 2000 & 2001 also my entire engineering was without use of L'Hopital rule. This is also the first time in my life I have heard of L'Hopital. I am from 2001-05 Batch Engineering in India. :) lol
I genuinely have no clue what you are saying but i am blown away how you understand it. My question is, how did L'Hôpital know what to do in 1696 and why hasnt the theorem been updated since then? Can this theorem be improved?
Nice solution. Thank you for making video on JEE Advance paper.
U can also try to solve IOQM(known as PRMO till 2019),RMO,INMO papers as well. They're among the toughest maths paper in India.
Great Video - I tried solving a JEE question after 3.5 decades, and realized how rusty I was... For Q1, I used an alternate method. I assumed Y=(A/x+BX^10) as all 4 choices were of this form, and substituted into the equation, applied L'Hopital's rule, to get A=9/11. That found choice (B) as the solution. Much faster. I had forgotten all about the integrating factor till I saw your video and remembered my maths teacher drilling it into our heads!!
In the second Q, X is in the second quadrant, and hence Sin X was +ve, and that is why we take the +ve root for A - thought it is important for the student to recognize this.
In the 3rd Q, it is easy if you recognize (AXB).C is just the determinant of ((Ax, Ay, Az), (Bx, By, Bz), (Cx, Cy, Cz)). This is also the test if 3 vectors are coplanar.
ingenius solution to the first one, subbing it that way is so much quicker. i tried cheesing it but couldnt find the right way and had to do it the lengthy way while i was attempting that q. I also didnt notice the negative sign and didnt realise there was a negative sign there until i read your comment, but how do u tell if its in the second or fourth quadrant?
@yajasterian the question specifies that X is between pi/2 and pi, and hence it is in the second quadrant.
I suppose for the third problem where you are doing (OPxOQ ).OR=0 , the vector , OP X OQ is perpendicular to both OP and OP and since (OPxOQ ).OR=0 , OP X OQ is also perpendicular to OR , here OP X OQ is perpendicular to 3 vector in 3D , it can only be possible if OP . OQ and OR are coplaner , if they are coplaner then volume of parallelepiped formed by OP , OQ and OR as adjacent side is going to be zero , and i believe volume of parallelpiped is given by determinant of matrix [OP, OQ,OR] , where OP , OQ and OR are column vector of matrix
You inspired me.. keep doing.. love you.
In india you can attempt jee advanced exam when you are just passed 12(17-18years old) or following drop year. Only two times in your life. In three hours you have to solve physics, maths and chemistry. To clear this exam u have to clear cutoff for each subjects and overall cutoff. But to get in top colleges(IIT's) you have to score very good marks 60-65 percent of total marks. In that sense i think that indian entrance exam is the hardest in the world
You have to each and every year solutions of jee mains and JEE ADVANCED.. THANKS A LOTS.
I cleared JEE back in the 90s. Back then, you didnt have multiple choice. We are simplifying this exam.
Oh great!! If you don't mind I wanted to know what r u doing currently?? Just curious to know what ppl achieve years after cracking this examination!! I won't judge.. it's okay if you want to answer or not. But getting a reply would really be appreciated 😄
@@zeeshanalam95 I work as software architect in a very large corporation.
@@soapissue1 Microsoft?
@@soapissue1 can you name it??
The funny think is they gave admission to only 40% based on merit 😂 for this toughest exam in the world 10% for economic reservation and 50% for cast
25% cast only
Trust me bro . Information
toughest because india population is too much .They cant provide good quality education to majority
After longtime I see my type
Good Explanation and good hardworking
Wow👍👍👍👍👍👍
The time availability to solve problems is not very generous though...:)
Hi Ellie, great video! You should try solving some problems from the admission test to Scuola Normale Superiore from Italy
Next try IIT jam mathematics it's much harder than iit jee
Hello🎉 from India.I am very happy that you cleared the jee mains exam It is not a bogeyman, this is the specialty of this exam through which the passed out students have given wings to NASA, ISRO and Space ex
Hi Ellie, great vid! I LOVE Math and your vidoes too ♥
Btw, This year's JEE Adv. paper was on the easier side, especially Math. You could try the JEE Adv. paper of the year 2020 or 2022. Those paper we relatively on the tougher side. Regardless, these questions and super fun to solve, let it be from any year's paper! CUZ MATH DA BEST!
Well this years paper was relatively easier than previous years, as someone pointed out the cutoff went triple digits somewhere around 109 or 110 , so i wouldn't say it was terribly hard, but yes there were some nice questions.
Btw great job.
Honestly 2024 JEE advanced math was probably the easiest in last 5 years. Also, Students who qualify these don't go on to solve the problems completely but use tricks like in the 1st question the 0/0 was instantly determined then looking at the options we should just solve for f(x)= a/x + b*x^10 then find the values of a and b. PS- b would be eventually vanish also an intuition to the problem.
I did Qualify this exam back in 2022 and the math section that year was a nightmare even though I had Olympiad background.
@@ARNAVRAJ-r3yyeah the maths section from 2022 was difficult
The very first question. Elimination approach from the multiple choice.
f(x) must be of the form 1/x + x^10 in the multiple-choice. If it were not, then it would be 0 or a very large number. Note that 1/x term is required to produce the nonzero constant in the limit, and x^10 cancels out in difference quotient. Also, f(1)= 2. The only suitable form is 1/x + x^10 (i.e. k*x+x^10, k \in (0,1)) in the multiple‐choice answers is (B).
I don't find this question difficult or beautiful. If anything, it intimidates high‐school students who are already under examination pressure.
It was my year's paper. It was so easy that it made me cry seeing the marks vs rank. With same marks, I would have got a rank = current_rank/2 and seeing data of 2022, I would have got rank = current_rank/4. This is not the toughest (of this year), but I wished I could have given a tougher paper.
But yeah, JEE Adv is one of the toughest of the world.
really proud you Dear ❤
14:29. A = s + c. A square = (s + c) square = s square + c square + 2sc.
Exactly and 2sin(2x)cos(2x)=sin(x). I don't know whether she purposely missed it or she just answered the prepared questions.
Although I'm in 11th grade, I'm not specifically preparing for JEE advanced. I could easily solve the last two questions in the video however not as fast as the guys who are enrolled in coaching centres. Couldn't solve the first one after Lhopital's rule as I have not studied Differential Equations yet. Also, do try ISI entrance questions. They are more theoretical than computational.
If you r math lover then try the 2022 iit jee paper
Ellie, I love math ❤ most importantly, YOU ELLIE!
yooo??
I hope she moves to US, and teach math…lolz…
@@LeonHuynh-k4w She will!!!! She is indeed a perfect girl!
@Andrew-Tsegaye I hope she would do it…we need math teachers like her in US…I can’t learn anything from US Math professors at all…they can’t teach…I watch all RUclips videos for all my math classes…
I cleared this with 81 marks out of 120 in maths. 😂😂😂 and got IIT Kanpur electrical engineering.
I'm not sure your answer to number 3 is correct. From tanx = - sqrt(11)/5, you draw your triangle, but you dropped the minus sign. You *can* use this approach to calculate abs(x), but you need to multiply by -1 again when computing sinx, i.e. sinx = -sqrt(11)/6. Which would mean the answer is actually D).
Although I might be being dumb
Maybe I'm kinda sleepy here. But, in minute 14:33 it seems that a 2 sin(x/2)cos(x/2) is missing.
oops you’re right! Missed the 2 out front - the rest remains the same as 2sin(x/2)cos(x/2) = sin(x) :)) thanks for checking!
@EllieSleightholm I really enjoyed the video. Thank you for all the hard work.
the first one you can also do by using the limit form of the derivative
CMI & ISI have the best undergraduate math program in india and they conduct a test of their own which contains both objective and subjective questions. They are tougher than JEE. You should have a look at them as well. After analysing them can you also please let us know the entrance exams with equivalent toughness around the globe ?
Man in mt uni entrance days i would have solved these in like 40 seconds, now it takes me as long as the video to do this.
मैं पढ़ाता हूं मेरा lecture कोई भी नहीं सुनता हैं और न ही 😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭😭
Nice and enjoyed a lot
Ellie You should try the CMI (Chennai Mathematical Institute) paper. Probably That's the ultimate OG mathematics paper in India 🇮🇳. Btw ❤ your effort and more importantly You❤❤..
Oh you forgot the 2 in the second question…
Apart from every thing u covered, the most interesting thing about this video was ur cute face and smile
Go ahead With Tranquility and Prosperity of the Mind. Your psychological expression emphasize you do bear Inclusive mind and that's affirmative side of yours.. Never lose your character like others if possible as the real beauty lies on Character and behavior of a person.
My hit and trial still works after 10 years 😂
So nice!!!
Please teach problem solving strategies
I took my IIT exam in 2014. Seems that the advanced paper got a lot easier looking at these. I still was able to aolve these questions after so many years. During my batch, even the JEE Mains questions were harder than these. I could not even qualify Mains😅 anyways long story.
0/0 is not undefined. It's indeterminate.
if you want more complex problem you can solve paper 2 of jee advanced 2016
You should look at ISI CMI entrance questions
a regular maths prof will find it difficult ,then what of students ?💖💖💖💖💖😊😊😊😊😊😊
watching this after clearing JEE adv22 feels different
Try JEE 1997, it is one of toughest Maths exam probably in the history of mankind. We hear stories of how legends cried and still have its nightmares 😂😂😂
Try JEE advanced 2016