Shocking! This Is How Examiners Think - Unlock Short Solutions! | JEE 2025 |The Shortcut You Need!

[@nautankiwallah6316]

What a Brain man Simply outstanding No comparison

[@physics_rev]

Forgive me sir, for my past allegations that this is same as Maths unplugged, he has too seen this exact question, and said that there is no other way than solving the whole thing, saying Mains does this dirty things, really really good solution, loved it

[@studentaym]

youre everywhere bro, and yea this is crazy

[@hhhhhh1821]

he dont gaf

[@rangeelarasik6632]

Jhakkas, never seen such innovative and intelligent solution. These kind of approach Separate men from boys. Well Explained

[@Dharun-ge2fo]

No maths unplugged is harmed.

[@Colded-h1m]

Moreover we can generalize,for this type If you have an expression,(p€R) (ax²+bx+pa)^n=a_0+a_1x+...+a_2nx^2n Replacing x by p/x gives, p^n(ax²+bx+pa)^n=a_0x^2n+a1_2x^2n-1+...+a_2n(2^2n) =>P^n(a_0+a_1x+...+a_2n)=a_0x^2n+...a_2n(2^2n) Compare coefficient of x^k from both sides p^n(a_k)=a_2n-k(2^2n-k) a_(2n-k)/a_k=(p^n/2^(2n-k)) In this particular case p=2 So a_7/a_13=2¹⁰/2⁷=2³=8 *You can also see that its independent of b thats why sir's answer remained same.

[@blueboi8182]

THE most amazing approach I've seen to this question!

[@ShashankChoudhary-vl8kb]

Did attempted this while doing pyp solved it from that lengthy approach and finally end up skipping the question!!! 😅 and nowhere found the right ( for which the question is made) soln

[@KTRYT_]

i am actually mindblown glad i am follwing this series

[@VS-001]

bahut sahi sir, ye sochna padega ki why a7 and a13 only. Thanks for this and please bring more tough problems like this

[@Cooososoo]

MY APPROACH Replace X----2X , then take 2¹⁰ out of bracket the expression becomes>> 2¹⁰(4X²+3X+2)> ab ye jo expression hai ye bracket wala jo woh same hain agar hum x ko 1/x se replace kare toh ab coefficients jo honge X⁷ aur X¹³ woh interchange hojayega toh ab compare karke easily hojayga

[@jeeadv2025aspirant]

thanks a lot sir!!! i had this q in doubt since soooo many months..no teacher was able to solve this q in such a brainy way....truely grateful to u!!

[@user-wi1zw5vu7t]

X ki jagah root 2 x rkhne se bracket mein 3 root 2 aana chahiye thaaa naaa

[@MohitTyagi]

you are right but it won't affect the solution

[@mandar_desai34]

​@@MohitTyagiSir why will it not affect? I understand that substituting root(2)*x will make coefficient of x and constant term on LHS same but how will we eliminate root(2) in product with 3 as the coefficient of x?

[@knowledgefun1089]

Sir ans affect kyu nhi hua

[@MohitTyagi]

after substitution we are using new equation and we never used coeff of x

[@nishansarma660]

​@@mandar_desai34 it won't affect bcoz even if you put 3√2x after manipulation by x=1/x the coefficient of x again will be 3√2...in general for any coefficient of x let § , in this symmetric expression coefficient of x will § after substituting x by 1/x ...hope you got the point ✌️

[@padhai_karle_bhai]

sir, ek ques definite integration ka hai 27 july shift 1 2022, jisme sinx ka ek function hai uski integration ki range puchi hai, vo bhi bahut lamba jata hai.

[@Tip516]

Love you sir , following you from the starting of the series

[@sarthaksingh5614]

🔥🔥🔥🔥🔥🔥. by the way, just saying, when you replace x by root2 x 3x will become 3root(2) x on the left hand side... not that it matters

[@kssdivya]

What a blessing we have in the form of MT Sir

[@PratyushLokhande-d5w]

What a teacher 🐐🐐🐐🐐

[@Shashwat_Kushwaha]

Thankyou sir very nice observation❤❤

[@samtapjain]

sir kya jabardast tarike se samjhaya hai aapne, matlab maza hi aagaya sahi bataraha hu🤩🤩

[@RYLRAHUL177]

mene pehle esa dekha tha but me bhul gya tha thank you sir for yaad dilane ke liye

[@YuvrajSinghYadav-gu9cw]

These kind of solution can save your time as well as your life 💀💀

[@Soham_Boyy]

@@YuvrajSinghYadav-gu9cw not life 😑 don't depend your life on jee buddy That mindset is harmfull

[@RohitKumar-jf6yy]

There is a mistake when when you x = sqrt(2).X. In that case, the middle term will be 3*(sqrt(X)). Rest of the solution is the same ...

[@Aayan_200]

take 2 common then complete the square Then we have (a²-b²)^10 type Then we have to form coeff of x^7 and 13

[@buntykumar8849]

Brilliant sirr..

[@Soulofindia111]

Sir ... how did you conclude that the given expression was an identity so that you could put x=✓2 x ? Please clarify

[@RishiRaj-uz7fy]

Sir...can we derive the conclusion from this method ...that if there is expansion of some quadratic raised to some higher power and ...ratio of symmetric terms from starting and end is asked..then we can make coefficient of x^2 and constant same in quadratic expression and simply equate the symmetric coefficient.

[@HarshSawant-d5z]

Sir aap bade badhiya ho😅

[@thatonecat6042]

sir when youre replacing x with √2x then why doesnt 3x change to 3√2x inside the bracket?

[@ritabratachakraborty6414]

Mind blowing sir Thanks a lot

[@krishpandey854]

Alternate method- Use y=x/root(2) to make the expression symmetric: It becomes (4y^2 + 3root(2)y+4)=sigma ( b y^r)=sigma (a x^r). Hence, a=b/root(2)^r Since the above expression is symmetric- b7=b13 Hence a7/a13=root(2)^6=8

[@tigergaming9400]

Sir apne x ki Jagah root 2x Rakha toh middle wali term bhi to 3 root 2 x hoga na

[@AakashKumar-vq3lm]

Sir feedback after 3 days of pyq express Overall series is very good but some points can be improved -1. Sir agar jo video dekh liye use mark as complete ka option aa janaa chahiye ya phir dekhe huwe videos ko niche ho jana chahiye 2.sir remaining videos ya phir sare videos me questions solve krane ya discuss krane ke bad last 2 ya 4 sec tk us question ka full solution proper denge toh jyada better rhega ❤ 3. Sir max download file ko 8 se increase kr de bcoz sir wifi se download ho jayega phone me jyada data nhi chalta jaldi khatm ho jata hai kisi se internet leke bhi kr lenge sir but max download file km se km 50 ya 100 toh ho jane chahiye taki proper ek din me sare complete ho jaye ek chapter ka warna sir complete nhi ho pa rha data pack hi daily khatm ho ja rha

[@MohitTyagi]

Thank you for your feedback, we will see what best can be done in order to make your Lecture / Video viewing experience better. -Team Competishun

[@ashwaniawasthi6230]

Sir please do the same series for physics and chemistry

[@GauravSharma-qu3iy]

Sir please please please answer this so that all your lectures on youtube channel lectures are sufficient for current time I mean all topic are based on new syllbus or not because I watch those lectures and then I got that those lectures are old that why they are not much helpful

[@Dharun-ge2fo]

Or we can directly replace x with 2/x.

[@animeboinod3002]

@@Dharun-ge2fo not 2/x, x to root 2/x

[@Deltaechiloron]

@animeboinod3002 kuchbhi matlab 2/x se bhi ho jayega krke dekhle Kuchbhi bol mat

[@PragyaSingh_6899]

@@Deltaechiloron Bhaii vo sahi bola √2/x sa hi replace karenga tabhi to usko x² ki jagah rakhne pa vo 2/x² hoga or vo jo 2 pehla sa tha to usse 4 ho jayega...... Warna ager 2/x sa Kiya to iska square 4/x² ho jayega fir vo 2 sa multiply hoke 8 ho jayega to wps symetry nhi milegii

[@AmanKumar-kx1ol]

We can do it with replace x by 2/x also

[@aimvsdream]

Sir will there be UTS for second session??

[@Study-g2k]

Sir i did not get the 3x wala part. Why will that remain unchanged? Can anyone explain? Please do in simple lang first 😅

[@studentaym]

yes the b term is in the middle, so it always stays symmetric (it will change but it doesnt matter as long as its symmetric)

[@Hidden-f7p]

@@studentaym abe lekin x ko root 2 x se replace krenge to kaise unchanged rahegi?

[@banjaragamingka3573]

Nice ❤

[@tamizrejakhan]

sir my class 11th is almost to the end but in class 12th can i buy your jee mini short notes book?, because i have Experienced that making notes is time consuming and im not able to take out time for revision and question practice. love you sir ❤

[@MohitTyagi]

Yes Jee mini is useful for short notes - Abj sir

[@yatharth2463]

Sir i had an alternate quick solution to this, write the lhs in form of (x-a)(x-b) and observe that on finding a7 and a13 only difference is of the a and b rest of terms of binomial coefficient cancel out 2 min m aagya ans

[@CoolDude-f1g]

Same approach

[@jyotsanabenpanchal7271]

Roots complex hai to kaise karega??

[@yatharth2463]

@@jyotsanabenpanchal7271 haan to product of roots to 2 h na, roots kuch bhi ho usse farak nhi pdta

[@gamingsphere2787]

Or we can replace x by 2/x

[@sarthakshrivastava5144]

Sir i did a similar method to you but i substituted y=2/x(as product of roots is 2 so the new quadratic will have the same roots) and then compared coefficents giving me the same answer

[@anandnarayan3970]

Directly replace x by 2/x

[@maulikshah28]

thanks sir

[@neerajrajvanshi29]

God of Mathematics 😅

[@GoluKumar-mt8xi]

3x me x =√2x kyu nahi rakhe

[@tanishqsinghanand5383]

x ko root 2 rakhne pt 3x bhi to root 2 x banega wo kyo nahi change kiya?

[@theultimategamer4023]

sir pls aisi ek badi series le aaiye

[@shivx3295]

my sir also taught us with the same method

[@CovCov-h2v]

#sir my maths is not good my basics is not strong what should i do please help sir

[@tricky1785]

Sir please include root2 x with 3 I am not getting

[@ShivangGupta-q4o]

Sir 3x. 3√2x hojayega

[@FlakernN]

Sir please upload vector 3D in pyq express fast

[@FlakernN]

And probability

[@vaibhavno1832]

sir thoda kam aya samaj

[@iitianarpit4916]

Already knew

[@theultimategamer4023]

this is real maths bub

[@sarrus04010]

logan is that you?

[@AnishMishra-i5z]

Sir how to access your pyq express series in computer

[@MohitTyagi]

It's currently unavailable on website You can access through Competishun app

[@ravisinha8128]

#askcompetishun sir jab replace kiya to 3x ka x ko kyo nahi kiya ??

[@DakshSoni-bg6cn]

Sir aapke dimag mein itna Ideas aate kahan se hain main aise question ko approach to kar pata hun per solution Lana main bahut time lag jata hai

[@mandar_desai34]

20 year+ expertise

[@samakshvishnoi9956]

God

[@AmritanshSingh-mx9xf]

Hello Sir , I am the first one here.

[@RohitYadav-p1s]

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