1:45:04 1:53:22 1:53:31 (🌟) 2:00:47 2:04:39 : Onto koi bhi sawal : Range = Codomain krdo bas... Codomain diya hoga, range nikalna hoga.. 1:54:09 : To find Range of y=f(x) : express x=f(y) (express x as a funcn of y) and then find all those values of y for which x is defined [ in x=f(y) ] 1:55:31 🌟 - 2:00:18 One-one / Many-one : M1 : Graph. 1:46:05 1:48:30 M2 : f(x2) = f(x1), (1:46:26 ) aur agar x2=x1 ke alawa koi bhi soln aa jaye then funcn is many one... 1:50:10 M3 : Make rough sketch of curve using AOD 2:26:24 2:21:52 : Pattern dhundho 2:36:53 : f(g(x)) and both are piecewise defined. Step 1 : in f(x), replace x ➡️ g(x) Step 2 : Draw graph of g(x) Step 3 : 2:44:30 : Inverse of a function 2:57:13 3:06:08 : g(f(x)) = x ➡️ g(x) is inverse of f(x) ⚠️ : 3:03:55 Solving Hack : 2:51:15 🌟
Sir Homework : Both reflexive and symmetric so sir ek matrix bana liya A*A kyunki reflexive hai to diagonal to aayega hi relation mai For symmetric(Considering with respect to upper triangle) : ham kisi bhi ek element in upper triangle ko leyenge to uske corresponding ek element lower triangle wala aajayega so ham kisi bhi upper triangle wale element ko le sakta hai ya nahi le sakta baki kaam ho jayega so 2 choices per element of upper or lower triangle . Total no. of element in matrix = n**2 no. of element in diagonal is n no. of element in each triangle equal as square matrix so no. of elements are (n**2-n)/2 So number of relations are 2 raised to power (nsquare - n)/2
𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒 4:12 *Topics* 4:48 Critical Topics 5:44 *RELATIONS* 5:54 Cartesian Product of two sets 7:43 Definition of Relation 9:12 Remark (Relation on A) 10:03 Description of Relations 14:57 Domain, Codomain & Range 18:32 *Total Number of Relations* 20:23 *Inverse of Relation* 23:43 *Types of Relations* 24:38 1️⃣ Empty Relation 24:57 2️⃣ Universal Relation 25:09 3️⃣ Identity Relation 25:55 4️⃣ Reflexive Relation 29:25 5️⃣ Symmetric Relation 31:10 6️⃣ Τransitive Relation 30:28 NOTE 47:50 _QUESTION: Minimum number of elements that need to be added_ 1:14:59 7️⃣ Equivalence Relation 1:15:13 _Checking Type of Relation Theoretically_ 1:24:03 👉 Equivalence Class 1:26:04 *Number of Relations* 1:36:07 *Number of Equivalence Relation* 1:38:04 8️⃣ Antisymmetric Relation 1:39:32 *Basics of Functions* 1:42:08 *Classification of Functions* 1:48:01 Checking One-One Function 1:53:15 Checking Onto Function 1:58:34 _Finding range of Piecewise Function_ 2:08:29 *Composition of Functions* 2:09:41 Example 2:16:14 Domain & Range of Composite Function 2:20:44 _Question (Multiple times Composition)_ 2:30:31 *🌟 Composite Function of Piecewise Defined Functions* 2:43:07 *Inverse of Function* 2:45:29 Identity Function 2:47:25 *Definition* 2:47:51 Algorithm to find Inverse of Function 2:52:11 *Inverse of Piecewise Defined Function* 2:58:54 Finding inverse if relation b/w functions given 3:01:36 *NOTE:* Inverse of a Function is unique 3:04:10 *Inverse of Itself* 3:07:00 *Inverse of Composite Function* 3:08:27 Condition for function to be invertible 3:11:08 _Conceptual Question_ 3:16:22 ① Graph of Inverse Function 3:17:35 ② Solutions of f(x)=x & f⁻¹(x)=x are same
Sir, Please, explain the sentences " this relation is symmetric by default." " This relation is transitive by relation." An identity relation is an equivalence relation by default." " Reflexive relation by default is non- existent. ".
absolutely love your efforts sir that you do for us, just another humble request to you that, please do something about physics too...physics oneshot would be a blessing for us!!
sir doubt plz plz reply i have exam tomorrow at 50.25 here in this relation there is ac already then why have you written ca .................. agar ac relation me he toh ca likh ne ki kya jarurat he sir plz reply sir iska answer toh 5 aana chahiyea fir sir plzzzzzzzzzzzzzzzzzz replyzzzzzzzzzzzzzzzzzzzzzzz
Sir doubt pls give a look Sir ek calculus ka question hai maybe i guess sir dimak mai vaise hi aagaya book mai nahi hai school teacher ne solve nhi kiya looks simple but when thinks about it its quite difficult sir pls you can help ; Sir a point going in x - axis at 1unit/second when t = 0 but acceleration in x(axis)= y(value of y) and acceleration in y(axis) = x(value of x) sir now it will also move in x and y sir ham trajectory ya path ki equation kuch nikal sakte hai kya?
The PDF of session will attached to the link pinned in the Telegram Channel:- t.me/JEEnexus
Thank you bhai ❤
sir iska PDF nahin mil raha hai pls help team pls tg bhi check kiya content wala bhi
Sir pdf nhi hai telegram pe
Sir PDF nahi mila 😢
Sir u should make a series of video it's humble request.. please ponder upon this..
1:36:00 method to find equivalence relation
2:32:01 must revise
2:50:55 trick
2:54:57 revise
2:57:04 imp
2:58:45 definition question
3:02:51 checking true value
doing the lords work
Quality learning better than most of the other coachings
1:09:05 sir correct answer is option a only reflexive
Yes, he's right
But x/2 should be less than x so it is not reflexive as sir said in starting y>or equal to x
the only teacher who reminds me how beautiful maths can be. planning to drop this subject due to extremely hard questions... but nah its amazing
Sir , rather than making one shot , a series of lectures covering all topics in detail for a chapter will be useful..(just a humble request)
Yes , I agree...
I also agree
Koi n Bhai
One shot isiliye best h kyuki one shot dekhle jee main ke 80-90 percentage to ho hi jate h
Isliye pehle focus on jee main😊
@@GaganDwivedi-os5td maths ke 80-90%? Air 100< vale ho kya? Kuch bhi ?? 😂
@@HITANSH_JEE2 bhai main ke to itne bn hi jate h bas advance mein thodi problem ati h
1:45:04 1:53:22 1:53:31 (🌟) 2:00:47 2:04:39 : Onto koi bhi sawal : Range = Codomain krdo bas... Codomain diya hoga, range nikalna hoga..
1:54:09 : To find Range of y=f(x) : express x=f(y) (express x as a funcn of y) and then find all those values of y for which x is defined [ in x=f(y) ] 1:55:31
🌟 - 2:00:18
One-one / Many-one :
M1 : Graph.
1:46:05 1:48:30 M2 : f(x2) = f(x1), (1:46:26 ) aur agar x2=x1 ke alawa koi bhi soln aa jaye then funcn is many one...
1:50:10 M3 : Make rough sketch of curve using AOD
2:26:24 2:21:52 : Pattern dhundho
2:36:53 : f(g(x)) and both are piecewise defined.
Step 1 : in f(x), replace x ➡️ g(x)
Step 2 : Draw graph of g(x)
Step 3 :
2:44:30 : Inverse of a function
2:57:13 3:06:08 : g(f(x)) = x ➡️ g(x) is inverse of f(x)
⚠️ : 3:03:55
Solving Hack : 2:51:15 🌟
Sir Homework : Both reflexive and symmetric so sir ek matrix bana liya A*A kyunki reflexive hai to diagonal to aayega hi relation mai
For symmetric(Considering with respect to upper triangle) : ham kisi bhi ek element in upper triangle ko leyenge to uske corresponding ek element lower triangle wala aajayega so ham kisi bhi upper triangle wale element ko le sakta hai ya nahi le sakta baki kaam ho jayega so 2 choices per element of upper or lower triangle .
Total no. of element in matrix = n**2
no. of element in diagonal is n
no. of element in each triangle equal as square matrix
so no. of elements are (n**2-n)/2
So number of relations are 2 raised to power (nsquare - n)/2
Bahuuut badhya shera.... Keep it up❤❤❤❤
is it helpful for someone who doesn't know A of functions?
Matrix se ye sikhke maza hi agaya thanks a lot
And proved 3rd part
dhanyavad sir 😃😃
1:25 you will find rajwant sir
😂😅
Yeah!!
41:13
Lots of love to you dearest sir from my core of pure heart ❤! THANK YOU
Thank you so much sir, with you math has become very easy for me
the pdf of the session is not there on the telegram channel
where is it available
1:37:55 , 1:45:30 , 1:47:48 , 1:49:45 , 1:52:25 , 1:58:23 , 2:00:05 , 2:07:58 , 2:26:33
Sir why you not covered even odd fn and periodic fn
UDA DIYA SIR NE
This is covered by sir in 11th class lecture
Which one @@ultimatefactsff1785
@@ultimatefactsff1785 kisme? standard functions waali mein?
2:14:48 idhr [1-(alpha)²] nhi hoga?
1:04:37 sir a=2,b=½,c=-½
{(2,½),(½,-½),(2,-½)}
a=-2 b=0 and c=4 best way
𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒
4:12 *Topics*
4:48 Critical Topics
5:44 *RELATIONS*
5:54 Cartesian Product of two sets
7:43 Definition of Relation
9:12 Remark (Relation on A)
10:03 Description of Relations
14:57 Domain, Codomain & Range
18:32 *Total Number of Relations*
20:23 *Inverse of Relation*
23:43 *Types of Relations*
24:38 1️⃣ Empty Relation
24:57 2️⃣ Universal Relation
25:09 3️⃣ Identity Relation
25:55 4️⃣ Reflexive Relation
29:25 5️⃣ Symmetric Relation
31:10 6️⃣ Τransitive Relation
30:28 NOTE
47:50 _QUESTION: Minimum number of elements that need to be added_
1:14:59 7️⃣ Equivalence Relation
1:15:13 _Checking Type of Relation Theoretically_
1:24:03 👉 Equivalence Class
1:26:04 *Number of Relations*
1:36:07 *Number of Equivalence Relation*
1:38:04 8️⃣ Antisymmetric Relation
1:39:32 *Basics of Functions*
1:42:08 *Classification of Functions*
1:48:01 Checking One-One Function
1:53:15 Checking Onto Function
1:58:34 _Finding range of Piecewise Function_
2:08:29 *Composition of Functions*
2:09:41 Example
2:16:14 Domain & Range of Composite Function
2:20:44 _Question (Multiple times Composition)_
2:30:31 *🌟 Composite Function of Piecewise Defined Functions*
2:43:07 *Inverse of Function*
2:45:29 Identity Function
2:47:25 *Definition*
2:47:51 Algorithm to find Inverse of Function
2:52:11 *Inverse of Piecewise Defined Function*
2:58:54 Finding inverse if relation b/w functions given
3:01:36 *NOTE:* Inverse of a Function is unique
3:04:10 *Inverse of Itself*
3:07:00 *Inverse of Composite Function*
3:08:27 Condition for function to be invertible
3:11:08 _Conceptual Question_
3:16:22 ① Graph of Inverse Function
3:17:35 ② Solutions of f(x)=x & f⁻¹(x)=x are same
legend.
43:00
1:10:00 to 1:20:00 \
1:30:00 to 1:43:00
2:30:00
I was searching for this chapter today morning and sir uploaded it today itself thank you sir
Is it helpful for someone who doesn't know A or function?
@@noobi539 you should just know set theory for relations. nothing else is required
3:15:57 (gof)inv= (f)inv(g(inv)) , aur inv exist krne ke liye oneone hona zaruri hai. is definition se bhi direct keh skte hai
Thank you so much sir❤❤😊
Very great lecture thanks bhai 🎉❤
Sir Gaming World Me hi Hu😂
Mera naam Abhay hai😅
46:21 & 1:04:00
Thank You sir.
Name change Kar na bhai to
Arey Nahi bhai, Name se kya ho jayega
@@RajvardhanShrivastavAbhi 12th me ho kya? Kaise chal rahi h prep?
@@GamingWorld-ke3jj ha bhai
Chal rahi he prep
Theek hai shera....❤❤
26:00 reflexive , symmectric , transitive sets
Sir ITF ka next chapter laye pls
Love you Bhai❣️❣️
3:11:12 important question
2:38:00 rewind
anybody else having problem in opening pdf of this session? i am having.. the site is not directing to pdf even if i press on view pdf
How can I get notes???
Last seen1:10:00
1:35:53
Is me 1×1×1×2^3
If n=3
Bhai pdf upload NHI hui hai , pls karva dijiye.
Thank You Jii 💕
Proved at 1:34:45
✋DOUBT✋
1:53:12 , can someone please explain why also option C is correct?
36:05, 38:58 ,40:39, 42:22, 47:29, 50:35, 58:11
15:44 , 20:13 , 21:01 , 21:17 , 47:23 , 48:28 , 57:58 , 1:09:08 , 1:18:35
2:26:23 sir answer can be option C also right??
C kaise hoga bhai 2006/2008 aaega toh cut krke 1003/1004 hi toh hoga
Incorrect poocha hai
Sir group mehe pdf Mahi hai
Koi mujhe vo 11 th lecture konsa hai bata sakte ho yaha pe sir jo baar baar keh rahe ki 11 me padha tha
Is this one shot enough for boards and JEE mains
mera bhai mera bhai💖💖💖💖
2:53:23
3:00:47
3:18:37
Si pura to padhate with even odd and periodic fnxs ❤❤🎉🎉
Lag 1:21:47 1:21:47 1:21:47 1:21:48 1:21:48 1:21:48 1:21:48 1:21:48 1:21:48 1:21:48 1:21:49 1:21:49
Last seen 1:30:00
58:46 last seen
2:06:25 woahh 🤯
2:28:46
the formula of gm is not ab but it is root(ab) so the answer will not be 4 it has to be 2
cross multiplied... he sent 1/2 to gm side which makes it 4
Thank you so much sir 😊😊
Tum kahi dekha dekha lag raha hai
@@THEEND-y1xtera mother hain 😂😂😂
The only JEE teacher who makes complex maths topics simple and beautiful!
sir what about even odd fns and periodic fns? does anyone know abt these topics?
Very important
thank u sir❤❤
Proved ❤
Sir Please Take ITF chapter
???
@@harikaramchandar9652 inverse trigo function
2:34 personal reference
PNC even odd functions kaha se padhe shot incomplete for function
Sir,
Please, explain the sentences " this relation is symmetric by default." " This relation is transitive by relation." An identity relation is an equivalence relation by default." " Reflexive relation by default is non- existent. ".
1:34:35 Sir proved 3rd part
Best mathematics teacher 😮. Surely you will fall in love with maths by attending bhai's session ❤
@@noobi539 bhai function mein toh A huta hi nahi.
1 ghante se important and main cheej .......🙏🙏🙏🙏
absolutely love your efforts sir that you do for us, just another humble request to you that, please do something about physics too...physics oneshot would be a blessing for us!!
Is it helpful for someone who doesn't know A of functions
@@noobi539 totally!
Sir Even/Odd Functions Nahi Padhaya Aur Periodic Bhi Nahi Padhaya
Ha bhai 😢
functional equation, onto into function, range of function,counting of finction kuch nahi padhaya
Sir iss baar lecture ki starting mein nature of chapter and weightage index kyu nhai hai
Iss sir ka naam kya hai bhai zabardast padhate hai ye 🗿
Inke waja se mera cengage calculus pura complete ho gya 🗿
Is it enough for JEE mains and boards
@@ManishSingha-ng7ikbro it is even enough for jee advanced.
Thank you sir 🥹🙏🏻🙏🏻🥹
1:39:00 functions starts
2:04:07 stopped
11 Wale dekh sakte hai ya rehne de
Nhi 12 th ka hai
Dekhlo 12 me asani hogi
Rehne de
Rehen dekh 11th kahi kar pehle
nope
Thankyou so much Bhai
sir pdf available krwa digie
Thank you sir
THANK YOU FOR EVERYTHING SIR YOU ARE SUPERB!
Sir, The third part proved👍👍👍🙏🙏
When will be the next lecture ???
1:24 par find elements related to 3 bilkul bhi samjh nhi aaya
2:40:08
Love you bhai ❤❤❤❤ so much
You can understand and appreciate it well
If you study ncert by yourself
And solved 75% the exercise
sir very well understood
Proofed 3rd part love u sir
Sir please get a video on sets and limits for class 11
3:10 concept building ques
2:30:00
Sir odd even and periodic function nhi padhaya
Sir is this sufficient can we solve pyqs and all kind of questions after this??
yuh
lol this is not board this is jee man
❤❤JAI SHREE RAM 🙏 JAI SHREE GANESH JI 😊 JAI SHREE KRISHNA JI ☺️
THANK YOU SO MUCH SIR JI 😊🙏
11 ka relation yaad dila ke emotional kr diya sir😢
Sir kya 11-12 pcm ka sara syllabus starting se detail me kraoge na plz 🙏🙏🙏 sir reply
Only maths and chemistry
@@manangupta2509 physics ni hogi?
Pata nhi @@Hitman-256
Bhai syllabus timeline 🙏🙏🙏
sir doubt plz plz reply i have exam tomorrow at 50.25 here in this relation there is ac already then why have you written ca .................. agar ac relation me he toh ca likh ne ki kya jarurat he sir plz reply sir iska answer toh 5 aana chahiyea fir sir plzzzzzzzzzzzzzzzzzz replyzzzzzzzzzzzzzzzzzzzzzzz
nahi mila reply , hahahahhhahahaah
1:04:44 one more can be 10,-1/20,-5
Sir iski dpp enough hogi jee mains ke liye
Proved😊
Sir doubt pls give a look
Sir ek calculus ka question hai maybe i guess sir dimak mai vaise hi aagaya book mai nahi hai school teacher ne solve nhi kiya looks simple but when thinks about it its quite difficult sir pls you can help ;
Sir a point going in x - axis at 1unit/second when t = 0 but acceleration in x(axis)= y(value of y) and acceleration in y(axis) = x(value of x) sir now it will also move in x and y sir ham trajectory ya path ki equation kuch nikal sakte hai kya?
Sir 3:04:00 pe galat Kara hai
Pls raat main rakha karee 8 bje ke kareeb
Iss time pe humari main classes chlti hain sir pls raat 8bje ke baad rkhe pls ❤❤
42:56
love u bhai , here from class 11th