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For the JEE-nius :P

This set has been created exclusively for the JEE-MAIN exam that will be held in the month of April. My best wishes to all those who are taking the prestigious exam this year. You've truly been an inspiration to all the members of this fantastic website. i'm sure that your diligence and hard-work will not go in vain and all of you will succeed with flying colors!

P.S: These questions are not original, but adhere to the general pattern of the JEE paper. Also you may notice that these questions might get a Level 5 initially. Please don't be critical about it! I've done it just for fun:D

Do post your queries and feedback in the comments below. I'll be glad to respond to them!

Also try my other set, Best of Me

Fin.

Note by Samarpit Swain
2 years, 7 months ago

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Nishchay Selot - 2 years, 1 month ago

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great.....some questions are really difficult

Varnika Chaturvedi - 2 years, 3 months ago

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Really good question:) At first, I split it up into 3 series without checking for their convergence(and all 3 turned out to be divergent!). Finally had to use the Dominated Convergence Theorem and the Monotone Convergence Theorem. What about you?

Ishan Dasgupta Samarendra - 2 years, 4 months ago

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Aachchaa Swain Sir, I had to re-post the problem. It's the same, so just plug in the answer.

Ishan Dasgupta Samarendra - 2 years, 4 months ago

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-_-

I think you must be called the "Re-poster" . You repost almost all of your questions :P

Azhaghu Roopesh M - 2 years, 4 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Haha , I'm not "back" . I had come online to help out some friends with questions . Primarily , my reason for not coming back is , ok I'll show it to you :

Azhaghu Roopesh M - 2 years, 4 months ago

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@Azhaghu Roopesh M @Anuj Shikarkhane

I think I might be able to beat your record of 1500 if I don't come on B'ant the next week ;)

Azhaghu Roopesh M - 2 years, 4 months ago

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@Azhaghu Roopesh M Ya...you are quite close

Anuj Shikarkhane - 2 years, 4 months ago

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@Azhaghu Roopesh M Wow! That's a gigantic number of Notifications (can't see it clearly)!

Ishan Dasgupta Samarendra - 2 years, 4 months ago

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@Ishan Dasgupta Samarendra It's 963 btw .

Azhaghu Roopesh M - 2 years, 4 months ago

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@Azhaghu Roopesh M You're just a day away from a millennium!

Ishan Dasgupta Samarendra - 2 years, 4 months ago

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@Ishan Dasgupta Samarendra Haha , it'll surely cross 1000 today , unless of course Calvin sir clears out my notification as a prank ;)

Azhaghu Roopesh M - 2 years, 4 months ago

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@Azhaghu Roopesh M LOL!!!

Nihar Mahajan - 2 years, 4 months ago

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Yeah thanks! I have done it.

Samarpit Swain - 2 years, 4 months ago

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@Samarpit Swain Nice question! Completely stumped as of now, don't know how to approach it..\[\]Aachchaa, Swain Sir, are you sure it is \((8y-4y^2-3)\) in the second equation? The signs do not seem to match with those of the other two equations. Lastly, just make it a bit neater (I was going to edit it, but then I thought you should be the one to decide). For example, remove the \textbf, and put the three equations using just the backslash and square brackets around each of them. \[\] PS. Could you reshare those two questions of mine one last time? The points have come down quite a bit.

Ishan Dasgupta Samarendra - 2 years, 5 months ago

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Done! Secondly, the equations are not completely symmetric, hence the difference. I tried to make it symmetric but it was giving faulty results.

Samarpit Swain - 2 years, 5 months ago

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Thanks a lot! Aah, OK then.\[\] By the way, was just thinking about Djokovic and the other boy. Think they were the only good thing about that quiz...

Ishan Dasgupta Samarendra - 2 years, 5 months ago

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@Ishan Dasgupta Samarendra Actually, after our disastrous blunder....

Samarpit Swain - 2 years, 5 months ago

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can u create a new set for jee advanced also

Shubham Patil - 2 years, 6 months ago

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Sure, I will be working on it soon.

Samarpit Swain - 2 years, 6 months ago

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No, it had actually come down to 140 from 330 or so, but then it rose again. Wait with patience; after some time, it will rise again. I know you're very disappointed; even I was when this had happened to my question. Keep your fingers crossed; it might rise when Sir sees your comment.

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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Arre, i'm not at all dissapointed:) But what i noticed is that some of my latex coding have been modified. Therefore, it must have been done by some moderator.

Samarpit Swain - 2 years, 6 months ago

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Lol! Actually i am 16 right now, and Ishan's class mate! By mistake my account shows '17'. I'll be taking JEE in 2017:)

Samarpit Swain - 2 years, 6 months ago

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Oh! My bad then .

Azhaghu Roopesh M - 2 years, 6 months ago

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He's a couple of months younger to me. It's interesting how he became 'older' than me!

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Do you guys mind sharing your B'days with me ?

Mine's on 20th October .

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M So you'll be celebrating your next birthday in IIT Bomnay?:)

Samarpit Swain - 2 years, 6 months ago

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@Samarpit Swain If all goes well , then yes . But any of IITM , IITB , IITD , IITK or IITKGP will do . That IITB thing on my stauts was only coz there are friends of mine in IITB , so it's only natural I'll want to go there .

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M My only objective is to stay here at home...

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Any special reason other than your love for your parents ? :)

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Did you add that second part of your comment later on ?

I didn't know why you wanted to stay at home , but I just now (men's intuition lol!) that a girl likes her parents a lot , so it was just a natural guess that I made .

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M No, to my knowledge, it was always there. Ok...

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Oops! Sorry , I had forgotten .

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Are you a very kept in person ? You don't seem to be one , but I thought I should ask since you haven't posted anything about you on your profile page .

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra OK ,just add something . After all , people might want to know about you right ? Posting Level 5 questions continuously , you really are something :)

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M Yes, from your comment, it's clear that April's Fool Day is just next door! I really can't think of something now. I'll try in the morning... Though strictly speaking, it is already morning.

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Yeah , Good Morning !

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Btw , you seem to be quite active at around 4:30 - 5:30 am . Right about when Calvin sir and Peter sir are active too . So when did you notice their activity ?

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M I never noticed Peter Sir's activity. I know Calvin Sir reshares problems at this time, so I just sit and wait...

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Wait ? Really ?

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Actually he's the one responsible for stuff related to B^2 .

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M OK...

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Hmm , don't know . I don't think I'll be sleeping today , I slept a lot yesterday . So for the next few hours , it's going to be just me and my Physics books . And yeah ofc , some occasional Brillianting !

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra You know , sometimes you should look up my activity . Take today for example , in the afternoon around 1 pm , I was replying to a comment by Chew Seong Cheong sir and then just as I was closing up , Deepanshu commented on his question , then I had to tease Nihar , then Rajdeep posted his OPC 3 , I disputed one of Skanda Prasad's questions , then I chatted with Omkar , then I chatted with you and your bestie !

You know I think that I am the worlds best Time Waster . Replying to comments and all just devour up my available time , but I just can't refrain from doing so due to obvious reasons .

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Nope. Not at all . Actually I was just replying to some mails and I do this hopping from here and there ..

You can pretty much guess how it goes on .

Just send me a mail so that I could get yours , that is if you want to share it with me .

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M Maintain all my communication through the account I used...

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Are you telling me or are you asking me ?

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M Telling you that I use it for the mentioned purpose. Sorry, I'm very tired and omitted the rest of the sentence. Off to Dreamland now. Good night/ morning/ whatever the proper greeting would be.

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra I know that you find sleep boring but if you are tired , shouldn't you go to sleep ?

What r u doing btw ? Playing games ?

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra The one that's mentioned in this note ? The one which had faced this transition from levl 5 to 3 ?

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M Yeah. I used to tease him by calling him Swain Sir. And now it's just become a habit...

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Ok , does he call you ma'am ?

Azhaghu Roopesh M - 2 years, 6 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Are any of your classmates here on B;ant ? other than Samarpit

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M Samarpit's computer will probably hang again tomorrow. Let's shift further conversations to Feedback...

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra But what difference will it make , since he has subscribed to that note too right ? But no prob :)

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M I don't remember if he has...

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Ok , comment in your note .

Azhaghu Roopesh M - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Forgotten that you mentioned about being lazy ! It's just that I get this statement from a lot of guys like Pranjal , Pratik , Kartik and more , so I forgotten who had said what .And as such , currently my mind is stuffed with Inorganic Chem , so Idk it's trustworthy :P

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M How much time do you take (or prefer taking) for longer chapters? Also, can you suggest some topics that i should do myself, before it is taught anywhere else?

Samarpit Swain - 2 years, 6 months ago

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@Samarpit Swain Well , as for Maths , I suggest do everything out first so you can understand it whenever it's being taught to you .

For Physics , I really can't give you any advice since I myself have started revising it just 2 days ago and I had never paid any attention to it when it was taught . Try reading Resnick Halliday or Feynman Lectures if you find NCERT boring (yes I find it so , so I refer those 2 sources)

Chem's a great subject . Just make sure that you have read all the Inorganic Chapters once before you are actually taught , so that you will be able to comprehend it quicker that way .

\[\]

These are my methods , I don't recommend it to you . I am just mentioning it to you . Use it at your own risk , and I am not to be blamed for it :P

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M Thanks a ton!

Samarpit Swain - 2 years, 6 months ago

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@Azhaghu Roopesh M Yeah P block is damn long!

Samarpit Swain - 2 years, 6 months ago

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@Samarpit Swain Have you looked at P-Block of Class XII ?

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M Yeah

Samarpit Swain - 2 years, 6 months ago

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@Azhaghu Roopesh M Which branch would you choose in college ?

Samarpit Swain - 2 years, 6 months ago

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@Samarpit Swain CS

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M 4th November '98. Swain Sir's is the 9th of January.

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra Looks like I can't get enough of B'ant ! I am going to be online for a few more minutes !

Cool ! Even my sister has her B'day on that same date , just that she's a year younger than you guys .

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M Is she also on Brilliant?

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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@Ishan Dasgupta Samarendra No .

Azhaghu Roopesh M - 2 years, 6 months ago

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@Azhaghu Roopesh M 9.1.1999!

Samarpit Swain - 2 years, 6 months ago

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@Samarpit Swain For once I thought that your B'day was a palindrome , guess I was wrong .

Azhaghu Roopesh M - 2 years, 6 months ago

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No probs bro!

Samarpit Swain - 2 years, 6 months ago

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Achchaa call me oonce about tomorrow.

Ishan Dasgupta Samarendra - 2 years, 6 months ago

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Okay!

Samarpit Swain - 2 years, 6 months ago

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I'm sorry. I had to write a solution to Gambler's Luck. You can't believe the mess I got into after reposting it.The only part which I was not entirely convinced with was your reasoning. According to me, it should be what I have written. If you still wish to post your solution, please do go ahead.

Ishan Dasgupta Samarendra - 2 years, 7 months ago

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No need to be sorry:), I quite expected that.

Samarpit Swain - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra There is no need of repeating the same process(of deleting the question) again. Trouble? I think it was fun! But still, i don't care about a solution you wanted to write eventually

Samarpit Swain - 2 years, 7 months ago

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@Samarpit Swain You're annoyed, aren't you?

Ishan Dasgupta Samarendra - 2 years, 7 months ago

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@Ishan Dasgupta Samarendra Me...Annoyed? Never:). I think it's you who is annoyed, staying up so late to write so many solutions.

Samarpit Swain - 2 years, 7 months ago

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@Samarpit Swain Yeah, that did annoy me a lot. I had to reply till 6! Somethings about why the best strategy would be what I wrote and so on... Also it was unfair since you have the first right to post the solution as you had taken the effort to write it yesterday. \[\]Aachchaa, I'll try my luck at the India Open today at 3:30. Do you want to come?

Ishan Dasgupta Samarendra - 2 years, 7 months ago

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@Ishan Dasgupta Samarendra I don't think so, bit engrossed in the match!

Samarpit Swain - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra i'm officially in class 11, it's not possible this time.

Samarpit Swain - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra I'll try, but i'm not sure...

Samarpit Swain - 2 years, 7 months ago

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What are we doing for the India Open? I intend to go from tomorrow. You're in, toh?

Ishan Dasgupta Samarendra - 2 years, 7 months ago

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Query 1: Swain Sir, with all deference, what is the meaning of 'fin'? Also, how many marks do I get for my presentation of the question? Or will you fail me again!

Ishan Dasgupta Samarendra - 2 years, 7 months ago

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You shall get a BIG ROUND \(0\) xD. Just kidding.!

BTW you're talking about the integral question, right?

Samarpit Swain - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Oh ok..

Samarpit Swain - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra I've posted a new problem, try it, and plz suggest a good title!

Samarpit Swain - 2 years, 7 months ago

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@Samarpit Swain OK, just give me a while please. And would you mind if I wrote the solution? I'll edit the title. Have to go outside for 3 hours. I'll come back and do it.

Ishan Dasgupta Samarendra - 2 years, 7 months ago

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@Ishan Dasgupta Samarendra no obviously not!

Samarpit Swain - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Type it down here only, since my phone is switched off.

Samarpit Swain - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra But i've mentioned that the particle P is sliding down the surface at t=0 at point A, this makes it clear that the particle was not at rest prior to its motion in the hemisphere.

Samarpit Swain - 2 years, 7 months ago

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@Samarpit Swain But if you consider the particle at right at the edge of hemisphere, it has no vertical component of velocity. Thus, it has to move at projectile motion and later bounce onto the hemisphere's inner circumference.

Ishan Dasgupta Samarendra - 2 years, 7 months ago

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@Samarpit Swain Also, the velocity is directed towards the surface, and only the horizontal component of velocity(at t=0) is equal to that of P. It gives a hint for the second part of the question, doesn't it?

Samarpit Swain - 2 years, 7 months ago

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"Fin" means "The End" , in French .

Azhaghu Roopesh M - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra I know , but Fin is used in some places too . I have seen it in some movies . Btw , a la fin shouldn't be used .

Looks like you didn't go to sleep :P

Azhaghu Roopesh M - 2 years, 7 months ago

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Comment deleted Apr 04, 2016

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@Ishan Dasgupta Samarendra Oh , ok . So what were you doing ?

Azhaghu Roopesh M - 2 years, 7 months ago

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@Azhaghu Roopesh M Calculus.

Ishan Dasgupta Samarendra - 2 years, 7 months ago

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