Master Algebra for JEE Main & Advanced

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Unlock the secrets of Algebra with this in-depth session designed for JEE Main & Advanced 2025/26 aspirants! 🧮 From quadratic equations to complex numbers, sequences, series, and more, this session covers all the crucial topics to help you ace your algebraic concepts. Whether you're just starting or refining your skills, this session will give you the confidence to tackle even the toughest JEE problems. Strengthen your foundation and set yourself up for success in your JEE journey!
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0:00 Introduction
2:50 Index
9:02 Basic Maths start (Basic Calculations)
26:49 Ratio and Proportion (Basic Maths)
41:16 Factor theorem (Basic Maths)
50:28 Basic Identity (Basic Maths)
56:48 High degree and Misc. equation solving
1:24:45 Quadratic Equations start
1:25:09 Relation between roots and coefficients
1:37:53 Solving Trigonometry with theory of equations
2:03:40 All about Quadratic by Quadratic
2:24:16 Graph of quadratic by quadratic
2:44:08 Break
2:53:41 Interesting Fact about cubic
2:56:51 Sequence and series start
2:57:24 An example based on lateral thinking
3:03:07 Miscellaneous series
4:07:18 Use of Binomial and log in Series
4:20:30 Recursion in series
4:41:31 Multiple Sigma
5:07:06 Product of n terms
5:14:08 Break
5:28:46 Complex numbers start
5:29:19 Cube roots of unity and its application
5:50:37 Use of Argand Plane
6:08:50 Nth Roots of unity
6:20:23 Use of complex numbers in binomial coefficient problems
6:39:22 Questions on GIF

[einsteinium]

17:08 1st Hurdle (DnD).
37:00 2nd
47:00 3rd
1:05:46 4th
1:18:30 5th (after observation)
1:24:15 NICE APPROACH
1:26:00 6th (VERY UNIQUE QUESTION!)
1:29:00 7th ( A NEW APPROACH )
1:31:10 8th (method of SOLVING )
1:38:00 9th (NEW Type)
1:45:00 10th (MULTICONCEPT)
1:58:32 11th (observation)
2:12:38 12th
2:15:25 13th (M.IMP!) (*)
2:59:38 14th Nice APPROACH
3:03:14 15th IMP FORM (MULTIPLICATION)
3:15:28 16th IMP FORM (DIVISON)
3:20:17 17th

[VardaanMittal]

34:00 Please acknowledge this short method of mine...

As 2x + 3y + 5z = 0, This given equation will hold true for any values of x, y, z for which LHS= RHS
Thus we can let x = 1, y = 1, z = -1
and substitute these values in the equation
We simply get the answer as 3 ...

Please like if you learnt anything from this
Thank you!

[vedantlohan]

5:07:00 for i>j>k, we have to choose i, j, k from 1 to 10, (10C3)*(1)=120 is answer

[MANISHKUMARPATRA]

Sir We need a session like this in calculus ❤❤

[muskanbansal]

34:00
observation: if we multiply divide (2x in first term, 3y in 2nd term, 5z in 3rd term ) of the sum we want to find, we will get something of form (a³+b³+c³)/(abc)
Which is equal to 3 when 2x+3y+5z=0

[SohamMandal-cmmt]

5:06:49
Ans is 10C3
Say you want to place x, y, z in 10 different spots it can be done in 10c3 ways and there order is fixed z>y>x
So no rearrangement

[krishnaprashant]

Sir this is unbelievable, started loving this channel

[prakrutipratyasha]

a, b, c range question done and dusted 🎉
Aapne jo warm-up question C&D lgake solve Kiya Maine use ek simpler approach se solve krdiya💪🔥
1:05:00-Mera bhai mera bhai🎉🎉dil khush hogya bhai aapki baaton se...shi khte hain asli teachers ka dil bda hota h☺️😌
1:28:00-ye bht accha question tha😲
solving trigonometry with theory of equations Wale section me tumhe uncomfortable lgta h-iss uncomfortable ness ko khtm Krna h
(2n+1)π wala sawal done and dusted (but do revise this section again to get rid of the uncomfortableness)

[sanjaymaity]

I AM STILL FASCINATED KI AISA CONTENT YOUTUBE ME KAISE MIL SAKTI HAI SALUTE BHAI FOR YOUR YOU BHAI MERA BHAI MERA BHAI

[BenStokes]

12:35 : Better Q of (a-b)² + (b-c)² + (c-a)² = 0 (Ratio of a:b:c poocha h, is a huge hint that this is used as isi identity se apan a=b=c conclude krte hn)

52:19

Miscellaneous Higher Degree Eqn

Pattern 1 (Product of 4 linear terms)
59:45 : What not to do. (Bas shuru mat ho jao, acche se pehle dekho)
i) Two two terms ko club kro jisse (x² + ax) wali terms same bn jaye and thus put it = t
ii) Two two terms ko club kro jisse (x² + c) wali terms same bn jaye and thus put it = t
1:02:35


3:15:29 3:16:54 : Product of 'n' degree polynomial and factorial (k!) : polynomial ko factorial term (k) ke 'n' bade bhai ( k+1, k+2, - - - k+n ) ke terms mein likho. Basic idea h ki jud ke bade factorials bn jayein aur jab summation krein toh terms katte jaein (Telescopic Series)

3:15:36 3:16:39 3:19:27 : Division of 'n' polynomial by factorial (k!) : polynomial ko factorial ke term (k) aur uske 'n-1' chote bhai (k-1, k-2, etc) ke terms ke tod do. Division ko humne 2 or more terms mein break ke diya - ke saath. Ab terms katte jaenge. (Telescopic Series)

[rryukog]

Hello, sir chapters like PNC Probability Binomial theorem matrices and determinants are also in algebra so what about them, also loved the session 🖤

[realakarsh]

2:32:15 we can consider it through the fact that there is no extrima between (-infy, 1)

[junaidrahman]

Preparing for CAT and watching this!! Loved it ❤

[akshatagrawal]

Triple Sigma wala question done and dusted sir (81/208) !!
Sir at 4:50:06, aapne voh triple sigma inclusion-exclusion se kara but vahan sigma ke andar sirph 1 tha jo constant tha toh directly 1*10P3 bhi toh keh sakte the kyuki 10 numbers mein se three unequal numbers ka selection hi toh tha bas?
aur sir same next triple sigma wala bhi jisme i<j<k tha toh wahan direct 10C3 kar sakte hain kyuki hame three distinct numbers chahiye aur order fix hai toh permute nhi karenge!!

[PremRijal-jgru]

There is a third equation satisfying the condition and that is 2x^2 - 5=0. 1:33:23

[Asif_Mallick]

Thank you sir .. kafi kuch sikhne ko mila is sessions mein ...❤❤❤❤love you sir

[jyotsanabenpanchal]

6:07:35
Mistake: -2Xo aayega
And diagram pe se Xo<1
Therefore 4-2Xo >0.

[VedantVerma-pubx]

Sir in the question where we had to find the quadratic equation whose roots are x1 and x2 and some condition was given, there we will get one more equation I.e 2x^2-5=0 apart from those two eqn. Actually at 1:35:04 by dividing (x1)^3 + (x2)^3 on both sides you are ignoring the case when x1+x2 = 0 as x1+x2 is a common root on both sides and hence that missed out case will give one more equation which I have mentioned above. Please verify if I’m correct 🙏🏻

[PLAY-PLUS]

ii was much unlucky that i cant watch this live but now first i rewised all the lessons and watchig this it is a new and amazing experience as i havent look at these type of questions in my booklets so thankyou sir of be here for us

[ShivaniBisht-iw]

Sir Mai 9th Mai hu or apke logaritham wale video ne PURA chapter clear Kara diya .
U r awesome