A Very Unique Idea || IIT-JEE 2004 || (AOD)

[@ujjwalsingh4244]

Yes a unique approach that 1. Integrate 2.then no differentiation required during rolle' theorem.

[@anonymous-bi6ul]

Was taught a similar question in class,By the way thank you sir for great explanation

[@aasthaiitbombae5750]

SIMPLE FUNDA OF ROLLE'S THEOREM ...NO NEED TO COMPLEXIFY THINGS FURTHER :) here we can ROUGHLY get the idea of sign ...one is gonna be +ve and the other -ve ...this simply implies that yes the function is gonna cut the X-AXIS at least once and voila you're done :)

[@prtikrakhecha7860]

Sir please bring more gor jee advanced 2024 🛐

[@cutegirlakanshabag2449]

Thank you sir.. 😊but I can do it 😊😊👍👍

[@RahulSharma-yf2iq]

Can we say that since at P(45^1/100) value is -ve and at P(46) value is +ve and P(x) is continuous as it is a polynomial then there must be atleast one root in between?

[@anonymous-bi6ul]

But to check the value of p(x) at those values is a bit difficult,isn't it?

[@RahulSharma-yf2iq]

@@anonymous-bi6ul No I dont think so, when u put the values in p(x) u dont have to calculate exact values, u can clearly see one is -ve and other value is +ve.

[@Rexu4115]

This question was done in our class by interpretation of rolle's theorem

[@prakhar1661]

Finding P(x) on 45^(1/100) and 46 does the job ig ....U Don't need to find the exact vale but a idea about it's sign is enough ....One is + and other is -ve ....as It's a polynomial...it will be continuous so will atleast cross x axis once ...(IVT)

[@mystic3549]

exactly i did the same on my first attempt...idk why pyq books and all the other teachers are following this approach just to complexify the simple intuitive proof...weird

[@realised_it_late]

@@mystic3549 actualy it was a subjective question where it was asked to prove by rolles theorem

[@pogpieunited3379]

i proved it by using intermediate value theorem... by determining f values for both 451/100 and 46

[@geettalati9409]

Yes that is more easier way of thinking, I also did it the same way

[@shourya3099]

Sane

[@JEEASPIRANT_NEMESIS]

Yep LMVT to Rolle's to IMVT these all are inter derived thoughts.. And I guess it came in subjective paper considering your solution. Since it would take a bit of time to get to the answer.

[@pogpieunited3379]

@@JEEASPIRANT_NEMESIStbh it was easy just that you have to rearrange perfectly while doing so..

[@futurex3793]

I did the same

[@pradiptoghosh8207]

Sir here can we apply f(a). f(b)

[@nxtyoutuber4160]

Intermediate value theorem

[@MissionIITBCSE]

Shaandaar Jabardast Jindabaad!

[@uncutvines4362]

This is the toughest question of AOD asked in jee advanced history

[@harshit3133]

No way it's the toughest , i knew how to approach the que the instant i read it . Although ig i would have failed in the calculation part

[@uncutvines4362]

@@harshit3133 agar tumhe aisa lgta hai ki advanced ke tough questions ka mtlb lengthy aproach aur question smjh ne ni aana to bhai tm jee mains ki he tyaari kro☺️🤣 Kaha kb kya suitable cheej substitue krna hai aaur deep thinking ye hota hai tough questions meaning First tym me kisi bhi bacha ko click ni krega ye suru me dikh jayega aage kya krna hai phir beech me atak jayega

[@balkrishnajha1524]

You need to check 2016 JEE advanced infinite limit question

[@nitrrstudent]

@@balkrishnajha1524 One needs steroids to solve that question in first try 🥲🥲🥲

[@bhaskarraj378]

2005 one

[@manamtiwari]

Can solve this by intermediate theorem

[@LightYagami-hx3jl]

I was thinking the same

[@jatainkumar]

And that will be all ✅✅

[@anushkapimpale8156]

what about the integration constant sir which needs to be added after the integration

[@rockybhai975]

I'm also thinking of same🤔

[@shreyansgarg6182]

Won't make a difference, try solving it with a constant

[@krishnalodge5813]

There are invisible limits from 0 to x in the solution

[@anushkapimpale8156]

@@shreyansgarg6182 when we try adding constant we may not be able to take common as we are able to take in this solution

[@shreyansgarg6182]

@@anushkapimpale8156 It will just convert to a case of LMVT. Forget about the constant for a while and factorise as shown. You will see the the expression will come equal to C here Instead of 0. So LMVT will be applicable and derivative will be zero

[@archit3327]

SIR U SHOULD INTEGRATE PX FROM 0 TO X ,,, BY THE WAY SOLN WILL BE SAME...

[@prtk2verma]

dont consider in determining cont. and diff. , also at the end after differentiating constant term becomes zero

[@rohakdebnath8985]

It doesnt matter tbh.

[@Abhi-kr6df]

4:31 and that'll be all

[@gautamkumarroy8048]

What unique in this simple use of rolles theroam

[@adhiraj2461]

You haven't taken the integratipn constant

[@RZMATHS]

I never took integration on both sides I just assumed the function....

[@adhiraj2461]

@@RZMATHS oh yes I understand👍👍

[@adityasaha2627]

Ya if we integrate p(x) from (45¹/¹⁰⁰ to 46) the integration value will be zero so we can say that at any c there is a root.

[@genius4898]

Just solve it by rolles's theoram 😎

[@ajayahuja3294]

Sir any other method as fr eg induction...se solve karoon

[@lakshya664]

Solve ho raha hai toh krlo

[@nagulapelliumamahesh8552]

sir can u please tell me how f x is continous and differentiable in given interval

[@harshitgarg946]

F(x) is the integral of p(x) which automatically means F(x) is differentiable as it will give p(x) on differentiating and every differentiable function has to be continuous

[@pratiiiiiik]

You did Indefinite integration why didn't you consider the extra constant C that we were supposed to get ?

[@RZMATHS]

I never took integration on both sides I just assumed the function....

[@aksharabajpai5618]

Maine to aise hi Kiya Tha isme unique kya h

[@creatorrahulkumarmath]

Thank you sir

[@anbarieflive255]

JEE problem requires Rolle's theorem? is not that university level math.

[@biswakalyanrath966]

It is not very high fi theorum

[@alpnasingh3586]

Rolles theorem is there in jee advance syllabus

[@LuckyMan-zd5he]

Yes

[@AyushKumar-tf8bw]

Sir please take question of repetative concept of calculus

[@themsk9923]

Waah

[@charactersunknown9057]

i am in 9th std..... why did i come here thinking it was going to be easy

[@TechToppers]

If you know the theorem, then it is quite immediate ngl

[@flyingbeast9679]

@@TechToppers cauz it itself is INTERMEDIATE mean value theorem lol

[@protoroxsinha2451]

The graph of this function is also weird by analysing it i got a decreasing function but there a extra for the interval (45,46) and eventually ek root exist karta hi hain given range mein iska ek proof descartes law se hi confirm ho gaya tha

[@chandradeepraut9306]

Rd Sharma book follower can solve this

[@protoroxsinha2451]

Points na diye hote toh bada difficult question hota

[@bb4385]

Nice ☺️👍