𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒 0:28 *Nature of Chapter 🌳* 2:10 Weightage 2:48 *Index* 3:09 *Critical Topics ☠️* 4:18 *Vector Representation of Complex Numbers* 4:48 z as Position Vector 5:49 z₂-z₁ as Vector (Vector from z₁ to z₂) 7:12 Modulus as Magnitude 7:55 Argument as Direction 9:59 *Problems on Argument* *arg(z-z₁) = θ* is a *Ray* in the direction of angle θ from +ve horizontal axis and excluding the point z₁ 19:18 _Conceptual Question_ 21:36 *Geometrical Representation of Modulus* 22:05 Modulus as Distance 23:02 *Eqn. for Circles* 24:23 *Eqn. for Perpendicular Bisector* 26:29 _Finding locus of z by substituting z with x+iy in the equation_ 35:52 *Mix of Modulus & Argument* 49:47 *Recall:* PS + PS’ = constant 53:03 *Eqn. for Ellipse & Line Segment* 58:40 *Eqn. for Hyperbola & Two Rays* 👆 PS - PS’ = constant 1:02:47 _Question where you have to use the standard method, substituting z = x+iy_ 1:04:23 *REMARK:* Locus of P s.t PA/PB = k k = 1: Perpendicular Bisector k ≠ 1: Circle 1:06:59 _Writing the eqn. of circle directly_ 1:22:20 _Conceptual Question_ 1:26:09 *Geometrical Interpretation Problems* (Triangle Inequality Question that can be solved using Geometry) 1:34:44 *Rotation of Complex Number (Coni’s Method)* 1:35:16 ① z₂ = z₁eⁱᶿ {|z₂| = |z₁|} 1:48:35 IN GENERAL 1:50:07 ② (z₃-z₁) = (z₂-z₁)eⁱᶿ 1:51:32 IN GENERAL 2:07:19 *RESULT:* Condition for z₁, z₂ & z₃ be the vertices of an equilateral triangle 2:17:35 *Eqn of Arc* 2:22:34 Visualising the Arc 2:29:47 *RESULT:* Results when z₁, z₂, z₃ & z₄ are the vertices of an square 2:33:32 *Nᵗʰ Roots of Unity* 2:43:00 Properties 2:43:43 _Product of Factor_ 2:47:04 *NOTE:* Mod of Roots of Unity are 1 2:50:51 _Good Question 🚩_ 2:55:15 Standard Variety of Questions (Summation Involved)
When I entered in class 11 then my seniors always used to say that class 11 and 12 maths is very hard I was also very scared I followed sir whole year and his channel named as jee nexus become a boon for me . Now I would not say that he is god of mathematics because there are a lot of professor with great knowledge of maths . He is not a teacher for me he is a boon for me.hats off to you sir and your energy level.
Sir please create more advance oriented lectures covering topics that were important but couldn't be included in one shots. NO ONE ON TH-cam DOES THAT. It's a great opportunity for a teacher of your caliber to capitalize on the situation...
Sir i am allen student ,i have study there complex but i didn't understand,here all my concept have cleared thankyou sir for providing knowledge from basic to advance
1:22:20 nice question 1:55:53 remember when a question says a triangle inscribed is having max area then its a equi. triangle 1:59:41 repeat 2:28:00 nice 2:32:20 Nice 2:44:10 remember
Sir hm 1Z-6/=π/3 hoto hm use assume krle z = x+iota y and then hm argument ko angle ki term me lga de like y/x-6=tanπ/6 ......... Essse bhi locus aa skta h mathematically
THANKS ALOT SIR!!! I am OVERWHELMED by the way you teach ALL the concepts including ADV. LEVEL with such an ease, it directly goes in head! Literally I feel you are one of THE BEST MATHEMATICS TEACHERS in INDIA. MERA BHAI MERA BHAI 🔥. You made it easy for me to enjoy learning.
𝐓𝐈𝐌𝐄𝐒𝐓𝐀𝐌𝐏𝐒
0:28 *Nature of Chapter 🌳*
2:10 Weightage
2:48 *Index*
3:09 *Critical Topics ☠️*
4:18 *Vector Representation of Complex Numbers*
4:48 z as Position Vector
5:49 z₂-z₁ as Vector (Vector from z₁ to z₂)
7:12 Modulus as Magnitude
7:55 Argument as Direction
9:59 *Problems on Argument*
*arg(z-z₁) = θ* is a *Ray* in the direction of angle θ from +ve horizontal axis and excluding the point z₁
19:18 _Conceptual Question_
21:36 *Geometrical Representation of Modulus*
22:05 Modulus as Distance
23:02 *Eqn. for Circles*
24:23 *Eqn. for Perpendicular Bisector*
26:29 _Finding locus of z by substituting z with x+iy in the equation_
35:52 *Mix of Modulus & Argument*
49:47 *Recall:* PS + PS’ = constant
53:03 *Eqn. for Ellipse & Line Segment*
58:40 *Eqn. for Hyperbola & Two Rays*
👆 PS - PS’ = constant
1:02:47 _Question where you have to use the standard method, substituting z = x+iy_
1:04:23 *REMARK:* Locus of P s.t PA/PB = k
k = 1: Perpendicular Bisector
k ≠ 1: Circle
1:06:59 _Writing the eqn. of circle directly_
1:22:20 _Conceptual Question_
1:26:09 *Geometrical Interpretation Problems*
(Triangle Inequality Question that can be solved using Geometry)
1:34:44 *Rotation of Complex Number (Coni’s Method)*
1:35:16 ① z₂ = z₁eⁱᶿ {|z₂| = |z₁|}
1:48:35 IN GENERAL
1:50:07 ② (z₃-z₁) = (z₂-z₁)eⁱᶿ
1:51:32 IN GENERAL
2:07:19 *RESULT:* Condition for z₁, z₂ & z₃ be the vertices of an equilateral triangle
2:17:35 *Eqn of Arc*
2:22:34 Visualising the Arc
2:29:47 *RESULT:* Results when z₁, z₂, z₃ & z₄ are the vertices of an square
2:33:32 *Nᵗʰ Roots of Unity*
2:43:00 Properties
2:43:43 _Product of Factor_
2:47:04 *NOTE:* Mod of Roots of Unity are 1
2:50:51 _Good Question 🚩_
2:55:15 Standard Variety of Questions (Summation Involved)
Everything is variable but bhai's energy is constant
Please 🥺 tell me session k notes kha milenge because telegram p nhi hh
@@Sahil-iw8evhai udhar dhyan se dekh
Therefore bhai ka power is 0??
@@krishjain7057the change in bhai ka power is zero he means to say
No, my determination for IIT is also constant
Respected Sir, you might not believe my words, but trust me, "You are our second Bansal Sir"
Why not bm sir?
why not AK sir
When I entered in class 11 then my seniors always used to say that class 11 and 12 maths is very hard I was also very scared I followed sir whole year and his channel named as jee nexus become a boon for me . Now I would not say that he is god of mathematics because there are a lot of professor with great knowledge of maths . He is not a teacher for me he is a boon for me.hats off to you sir and your energy level.
Sir please create more advance oriented lectures covering topics that were important but couldn't be included in one shots. NO ONE ON TH-cam DOES THAT. It's a great opportunity for a teacher of your caliber to capitalize on the situation...
Outstanding🔥🔥🔥
7:35 17:38 23:36
57:24 1:06:16 1:11:57
1:25:52
1:26:40 1:30:11
1:37:26 1:41:21 1:44:54 1:46:02 1:48:37
2:51:44
2:55:15
Being a faculty, I am happy to see ur lectures, with great knowledge...❤
Sir i am allen student ,i have study there complex but i didn't understand,here all my concept have cleared thankyou sir for providing knowledge from basic to advance
Us bro
sir you are best maths teacher i have ever studied from
Sir you are the god of mathematics in this universe ❤❤ your explanation is outstanding
Everything is constant but Bhai's energy is incresing
2:17:00 Sir isme AB ko 90 degree ghuma ke z3 nikal skte hai na , magnitude bhi nhi lena padega
1:22:20 nice question
1:55:53 remember when a question says a triangle inscribed is having max area then its a equi. triangle
1:59:41 repeat
2:28:00 nice
2:32:20 Nice
2:44:10 remember
love u sir , thanks for this amazing video .god bless u :)
53:40 It's supposed to be |Z2 - Z1|
Bhai I'm addicted to your way of teaching...
Or kisi ka smjh hi nhi aata h ab 😅
Lysm Bhai ❤
Best video for complex numbers❤❤
Thanks lot sir
Sir at 1:11 please check the equation of circle it do not match with the solution
1:11:51
46:45 --> sir isme z3 ko bhi ham z2 to common point like bhi kar skte hai na?
i.e. z3(z1-z2)(-i)+z2
Sahi h bhai tera 👍👍
Sir to Acute angle m minor arc bna rhe h jabki Major arc bn rha h 😮😮🫣🤐
@@ujjwalgupta2611 thanks bhai
Jee 2025 aspirant ?
Sir please start advanced PYQ sessions 🙏 ON TH-cam
VOTE
Yes
Mera bhai OP ❤❤❤❤❤
LOVE YOU SIR KBHI NHI PDAYA KISI NE AAPKE JAISAA.....❤❤🥹❤❤
sir ur an amazing teacher ❤
Sir hm 1Z-6/=π/3 hoto hm use assume krle z = x+iota y and then hm argument ko angle ki term me lga de like y/x-6=tanπ/6 ......... Essse bhi locus aa skta h mathematically
the way sir explained rotation concept is just out of this world
THANKS ALOT SIR!!! I am OVERWHELMED by the way you teach ALL the concepts including ADV. LEVEL with such an ease, it directly goes in head! Literally I feel you are one of THE BEST MATHEMATICS TEACHERS in INDIA. MERA BHAI MERA BHAI 🔥. You made it easy for me to enjoy learning.
thank u very much sir. fan ho gye aap ke . now complex number is like child,s play for me
Thank you sirji maza aaya
❤🥰u r amazing sir
Thanks sir pure TH-cam per aisa auido quality kahin bhi nhi hai sir ❤❤
Standard function wala lecture kidhar hai
Amazing teaching method sir thank you so much sir 💕☺️
Thankyou sir love you sir💕🔥
thank you sir
2:16:52 sir yahan z1 ko z2 ke about bhi rotate kar skte the seedhe piby2 angle se hojata jaise we did for z4
the best
Sab kuch badal sakta hai par dost ki energy hamesha constant! love you Mohit Sir dil se
Thank you soooooo much sir❤❤❤❤❤
1:16:07 how to find radius which complex no. Near
bhai mast sikha rahe hai .....
i kindly give thanks for questions you take it build a nice understanding
Sir 11th class ko Bhai ke new lecture ki jarurat hai 😢 kab wapis aa rhe ho Bhai ❤️
1:25:30
Isn't 2lambda = radius² ?
If so, the 2L = L -1
And L = -1
Thank you sir
54:00 Too much funny 😅😇
Bhaiya timestamps ?❤
Please 🥺 tell me session k notes kha milenge because telegram p nhi hh
@@Sahil-iw8ev yrr if u want to crack iit then makes notes while watching class by yourself 😁
@@Youthplayzz1556 tu timestamp bhi nhi milega
sir 2:16:40 mein z3 ke liye AD vector aur AB vectors ko add kar sakte hai?
31.51sec pe jo question h usme agr option me arc of circle deta or infinite set bhi deta toh hm answer kya dete sir
Anyone else who is here after Jee mains Date is released
.
😂😂
you are too late kiddo
Sir in question of Sigma of nth root of unity it's answers of a should be -1 as k starts from 0 to n-1 which will be 11. Please reply
Bhai conic sections part 1 pls
Please 🥺 tell me session k notes kha milenge because telegram p nhi hh
🙏🙏👍👍
Sir telegram link se notes open nhi ho rahe kaha se le abb
How can I download the pdf?
Sir ye complex numbers 1 koi video hai kya sir? Please reply?
Bro yeh channel ke playlist mein Ja aur dekhle
Sir pair of stright line ka lec kab aaega ??
3:03:24 Best Part ❤
❤
45:59
Notes kha h?
Sir yee shera kon haa???
mere kutte ka naam h
4:18 lecture starts
Sir poore video me major ko minor aur minor ko majorarc bol rhe the
still we don't know who is "Sheraa"?
students
@VipaschitBharatiya1947 🧐
Sir till when u complete the course of class 11 and class 12
Please 🥺 tell me session k notes kha milenge because telegram p nhi hh
1:24:08 sir jee ne 2lamda ke equal kaise krrdiyaa |alpha - beta|^2 ko jbb ki under root 2lamda to radius hai
Plzz koi bta do
1:11:23 Sir kaise ye pta chl rha hai iske pass hai
40:32
Your one shots are more peaceful and quiet than PW's 😂
lmao
100k🎉
Please 🥺 tell me session k notes kha milenge because telegram p nhi hh
Bhaiya ji aap competition badha de rhe ho😂
Sir be like competition kya hota hai 😂
1:57:00
how to find center of circle right?
Bhai relation and functions dedo pls
Mera bhai mera bhai ❤
Please 🥺 tell me session k notes kha milenge because telegram p nhi hh
ye shera kon hai
students
B
Sir you are not teaching tough problems...please teach
nazare ultra max
Limits class sir
❤ i to the bell network nhi yrr tumko block Kiya 😢😮🎉hai sach mein yaar ye mt kro 😢 yyu h behen mt kro delete eft me photo ya video is not successful and comment on this device is back to you in the video in the video in the video in CS and I 53:55 to the video 📷📷 h 53:57 behen h behen 53:58 mt 53:58 bolna 53:58 ki 53:58 wo 53:58 meri 53:59 dost 53:59 h 53:59 behen 53:59 ki 53:59 baat 54:00 kar 54:00 de 54:00 koi 54:00 y 54:00 y 54:01 nhi 54:01 h 54:01 54:01 h 54:02 yrr 54:02 unko 54:02 bhi 54:02 nhi 54:02 padh 54:03 kar 54:03 liye 54:03 hai 54:03 bhai 54:03 se 54:04 54:04 to 54:04 tu 54:04 ss 54:04 wali 54:05 bhi 54:05 54:05 54:05 54:06 54:06 54:06 54:07 54:07 54:07 54:07 54:07 54:08 54:08 54:08 54:01 54:10 54:10 54:10 54:11 54:11 h yrr tumko itna trust me to tu baat hai sach me nikal ke baad aaya tha yrr ki maine kaha ki hai bhai padhne ka paper h u 54:16 n 54:16 nhi yrr krunga 54:17 h 54:17 yrr 54:18 unko 54:18 bhi 54:18 nhi 54:18 h 54:18 kya 54:19 to tu 54:19 usse Joy 54:20 t 54:20 t 54:20 ryt 54:21 totally 54:22 y 54:22 ree 54:23 Drummondr to uska u have any questions 54:22 54:22 54:21 54:21 54:21 54:21 54:20 54:20 54:20 54:19
First
Please 🥺 tell me session k notes kha milenge because telegram p nhi hh
mera Bhai mera bhai❤
2:29:56
2:06:20
1:18:00
2:27:30
1:35:06
1:41:00
1:53:26
1:23:00
1:38:01