Timestamps:- 0:01 Intro 0:44 Lecture Starts 5:35 Imaginary Numbers 16:28 1st Exercise 33:34 Algebra of Complex Nos. 47:58 Power of iota 51:54 Modulus and the Conjugate of a Complex no. 56:56 End of chapter 57:38 Outro Like karde na 🤍
My name is Raj Kumar Chatterjee, I am 45 years old. For past two years I have been watching your videos, I was very weak student and somehow I completed my class X in the year 1990. After that I left studies and became DTP Operator. But past two years I watched your videos and got interested in mathematics. Now I can solve class 11 and 12 mathematics easily because the way you explain a chapter is very easy to understand. Thanks a lot to you. Keep doing such a noble job. Because CONCEPT IS POWER.
@@Allfame279 Mera ek dost hai he was from a rich family. He purchased a computer in the year 1993 or 1994. I used to visit his house. One day he told me that do you want to learn computer , because my friend was learning programming languages like C, C++, Visual basic etc. He told me to learn some designing software like Corel Draw, Ventura and Pagemaker. I learned from him. Then he gave a job in a nearby Xerox shop I used to work this is how I started my earnings for my family. For past two yearsbi have been watching your videos and learned lots of mathematics. You will be surprised to know that I take tuitions of class 9,10,11 and 12. Now I am teaching only 5 students. This became possible only because of you sir. You are my guru. CONCEPT IS POWER
One of my friend helped me to become dtp operator. His contribution was great. Education is such an ocean if you dip into it with full dedication , devotion and discipline, nothing in this world is so interesting and exiting.
Timestamps:- 0:01 Intro 0:44 Lecture Starts 5:35 Imaginary Numbers 16:28 1st Exercise 33:34 Algebra of Complex Nos. 47:58 Power of iota 51:54 Modulus and the Conjugate of a Complex no. 56:56 End of chapter 57:38 Outro
Sir, in the same way. It would be incredibly beneficial if you could make a video for the chapter 'Linear Inequalities' (Chapter 5) for Class 11 (CBSE).
🎉 Dear sir is back .... 🥰 I 💛 U SIR ... 📍 Dear Sir means "An Intelligent Personality For Mathematics .... ! " 😌 ⚪ Dear Sir - A Loyal Teacher For Us ! ०००....♥️
Maine hindi medium se 10th ki hai but maths 11th dear sir acha padhate hai toh isliye m fir bhi samjhne k liye english medium ki book padh leta hu 🔥😊😊😊😊💫💫💫 mujhe dear sir ki maths ache se samjh me aati hai 🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻💫💫💫 always support DEAR SIR ❤❤
When I was in 10th, i requested him for 11th class chapters and when my class 12th is going to complete he released the video.... WOW DEAR SIR, YOU ARE GREAT...... 😤😤
Mere paas arts hai or mene 11th me math rakhli ab 12th me hu math ho nhi rha sir pdha nhi rhe to ma ab math chod rha hu 10th me sir se padha tha or kisi se samj nhi aata math isliye ab chodna pdega 😢😢
Sir we need your wholehearted help in understanding class 11 th concepts❤❤❤ And we are are always thanking you and your team for this much support for class 11 th students❤❤❤❤😊😊😊😊😊
Sir this type of board is much good to concentrate on study and ur teaching is always amazing. Tq sir specially for that type of board to visualize more better
Bhai Bhai Bhai i wasted my 4 months in Allen bansal pw un academy and blah blah blah but when I saw his channel i got shocked bcoz I never felt maths so easy yrrrrrrr ❤️ thank you dear sir 😭
Thank u soo much sir, now I just finish my trigonometric chapter from your video and now I was starting this chapter, and when I saw u upload this video now , my mind got relaxed because I was find this chapter one shot video and other videos don't satisfy me , so thank u soo much ❤
Sir ek aap hi hain jo 11th ka math ko esay way me padhate hain. Great sir Baki teacher itna dra hi dete hain ki question solve karte samay v dar lagta hai.
Short Summary for [Complex Numbers Class 11th | Full Chapter | Quadratic Equations One Shot Title: Mastering Complex Numbers and Quadratic Equations: Complete Chapter Summary [00:03](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the concept of complex numbers and quadratic equations [02:25](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the categories of numbers [06:46](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding quadratic equations and discriminant [09:33](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Quadratic equations can result in imaginary roots if the discriminant is negative. [14:38](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Learning operations on complex numbers. [16:36](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Writing complex numbers in standard form [20:19](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the power of IOTA and its simplification. [22:04](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Explanation of the behavior of complex numbers with odd powers [25:35](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Working with complex numbers and operations like addition and subtraction [27:18](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding multiplicative inverse and its application on numbers [30:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Solving for A + Bi using complex numbers [32:32](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the application of the same formula for finding multiple negative inverses. [35:59](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Complex number subtraction involves real and imaginary parts [37:39](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Multiplying complex numbers involves multiplying each term with each other. [41:01](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Multiplying complex numbers using cross multiplication method [42:50](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Division of complex numbers process [46:18](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the concept of complex numbers and IOTA [48:11](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the powers of IOTA [51:32](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html092) Understanding complex numbers' modules and conjugates [53:17](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html197) Finding conjugate and modulus of complex numbers. [56:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html409) Completing the chapter on complex numbers and quadratic equations. --------------------------------- Detailed Summary for [Complex Numbers Class 11th | Full Chapter | Quadratic Equations One Shot | Dear Sir Maths](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) by [Merlin](merlin.foyer.work/) Title: Mastering Complex Numbers and Quadratic Equations: Complete Chapter Summary [00:03](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the concept of complex numbers and quadratic equations - Complex numbers are a combination of different types of numbers written together - Complex numbers are not just difficult, they represent combined submission [02:25](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the categories of numbers - Various types of whole, odd, integers, primes, and composites numbers are known. - All these numbers collectively come under real numbers. [06:46](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding quadratic equations and discriminant - Solving quadratic equations by factoring or discriminating values - Different conditions based on the discriminant's value: more than zero, equal to zero, less than zero [09:33](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Quadratic equations can result in imaginary roots if the discriminant is negative. - The discriminant, b² - 4ac, determines the nature of the roots. - If the discriminant is negative, the roots will be imaginary. [14:38](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Learning operations on complex numbers. - Multiplication, division, addition, and subtraction of complex numbers. - Using familiar methods of addition, subtraction, multiplication, and division with complex numbers. [16:36](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Writing complex numbers in standard form - The process of writing complex numbers in the form A+IOTA B - Explaining the process of multiplying complex numbers [20:19](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the power of IOTA and its simplification. - Explaining the concept of raising power of IOTA to 19. - Discussing the value and simplification of the square of IOTA as -1. [22:04](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Explanation of the behavior of complex numbers with odd powers - The result of complex numbers with odd powers will be negative - Further explanation on rationalizing complex numbers in the form of A + IOTA [25:35](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Working with complex numbers and operations like addition and subtraction - Steps to perform complex number operations with detailed calculations - Explanation of performing operations using LCM and solving for the values [27:18](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding multiplicative inverse and its application on numbers - Explaining the concept of square of a number and its application in formulas - Introducing the concept of multiplicative inverse and its application in finding the inverse of a number [30:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Solving for A + Bi using complex numbers - Performing the calculation for A^2 - B^2 - Converting the result into standard form with A + Bi [32:32](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the application of the same formula for finding multiple negative inverses. - Using the formula A + B, A - B to find the solution. - Applying the formula and steps to find the answer. [35:59](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Complex number subtraction involves real and imaginary parts - Subtract the real parts and the imaginary parts separately - Subtracting complex numbers follows the same rules as addition [37:39](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Multiplying complex numbers involves multiplying each term with each other. - When multiplying complex numbers, each term must be multiplied with each other to get the result. - There is also a traditional method for multiplying complex numbers, but there is a short trick to directly find the answer without multiplying. [41:01](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Multiplying complex numbers using cross multiplication method - Cross multiply and add to get the real part and imaginary part - Alternatively, directly multiply all the subparts to get the result [42:50](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Division of complex numbers process - Divide the complex numbers by writing one as it is and the other as 1/1/ - Rationalize the denominator by multiplying and simplifying the expression [46:18](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the concept of complex numbers and IOTA - Explaining the concept of squaring IOTA and its result as -1 - Understanding the process of dividing complex numbers and related rules [48:11](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the powers of IOTA - The value of IOTA's square is -1, hence IOTA^3 is -I. - IOTA^4 is equal to 1, showing a pattern in powers of IOTA. [51:32](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html092) Understanding complex numbers' modules and conjugates - Modules are found using the formula √(a² + b²) - Conjugate is found by putting a bar on the complex number, denoted as A + IOTA B [53:17](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html197) Finding conjugate and modulus of complex numbers. - Changing the sign of the term containing IOTA gives the conjugate of the complex number. - To find the modulus, square the real and imaginary parts, add them, and take the square root. [56:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html409) Completing the chapter on complex numbers and quadratic equations. subscribe to AmanFitness world [56:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html409) Completing the chapter on complex numbers and quadratic equations. -
hello sir , myself a student of class X who is eagerly waiting for boards result , sir my request to you is that kindly provide us with a whole playlist of 11th batch , what i mean is you pls keep on providing us with more and more videos .... sir your way of explanation reminds me of my school teacher i use to study from , but since I'm studying math (additional) it would be great help , thank you regards- apke pyare students {2024-2025}🙂 hope you'll reply soon .
🎉Thank you very much sirr aap bohot aacha pddate hoo aap hemesha khush rehoo thank you very much 😊😊😊😊😊😊😊😊😊😊😊😊orr bhi 11 class maths kii bnate rehna video......
सर, मैं आपके द्वारा दी गई सभी अवधारणाओं को समझ गया, धन्यवाद सर, कृपया ग्यारहवीं कक्षा की इस श्रृंखला को जारी रखें, इससे बहुत से लोगों को मदद मिलेगी, मेरी टिप्पणियाँ पढ़ने के लिए धन्यवाद!
Sir and one more thing, please bring the math series for class 11th 1st term examination which contains the most important questions which are asked in CBSE school.
Hlo seniors I'm a tenth grader. I want your help. I wanna ask how was your class 10th maths exam? Was it based on ncert? Or was it from Rs/Rd? Exams are near. Please help me. Some people say it is based fully on ncert and some say the questions are just out of syllabus/ncert. I wanna know real experiences of students. Please help me.
I'm a 90% + student from boards and bs itna yaad rkho ncert based que h lekin ghumake puchega mtlb sirf concept based... Concept acha rkho bs yahi demand krta h boards
Timestamps:-
0:01 Intro
0:44 Lecture Starts
5:35 Imaginary Numbers
16:28 1st Exercise
33:34 Algebra of Complex Nos.
47:58 Power of iota
51:54 Modulus and the Conjugate of a Complex no.
56:56 End of chapter
57:38 Outro
Like karde na
🤍
Bhai.. Is Polar representation in Complex no. reduced ?
😂😂😂
@@sshubh.01 NO
@@sshubh.01grggtggr
thanks bro
My name is Raj Kumar Chatterjee, I am 45 years old. For past two years I have been watching your videos,
I was very weak student and somehow I completed my class X in the year 1990. After that I left studies and became DTP Operator.
But past two years I watched your videos and got interested in mathematics. Now I can solve class 11 and 12 mathematics easily because the way you explain a chapter is very easy to understand.
Thanks a lot to you.
Keep doing such a noble job.
Because CONCEPT IS POWER.
Aap kaise dtp operator bne
@@Allfame279 Mera ek dost hai he was from a rich family. He purchased a computer in the year 1993 or 1994. I used to visit his house. One day he told me that do you want to learn computer , because my friend was learning programming languages like C, C++, Visual basic etc.
He told me to learn some designing software like Corel Draw, Ventura and Pagemaker.
I learned from him. Then he gave a job in a nearby Xerox shop I used to work this is how I started my earnings for my family.
For past two yearsbi have been watching your videos and learned lots of mathematics. You will be surprised to know that I take tuitions of class 9,10,11 and 12.
Now I am teaching only 5 students.
This became possible only because of you sir. You are my guru.
CONCEPT IS POWER
@@Allfame279🗿
What's this.. how study attracts a person of this age 😅😅
One of my friend helped me to become dtp operator. His contribution was great.
Education is such an ocean if you dip into it with full dedication , devotion and discipline, nothing in this world is so interesting and exiting.
Finally 11 ka syallabus complete ho jayega ab 🥺... Thank you sir ❤
Ha 😃😃
Yes
yesssssssssssssssssssssss
Yes
Ho jayega lekin is video ka fayda kya 😂
Timestamps:-
0:01 Intro
0:44 Lecture Starts
5:35 Imaginary Numbers
16:28 1st Exercise
33:34 Algebra of Complex Nos.
47:58 Power of iota
51:54 Modulus and the Conjugate of a Complex no.
56:56 End of chapter
57:38 Outro
😮
Bhai pdhne he aye the na?😅
@@sushmaguleria7832 😂😂
@@sushmaguleria7832 😂😂
😂@@sushmaguleria7832
Anyone in October 2024 😂?
Hn bhai
Yo bro it's October 15
And my exam is on 21
Yesss 😂
Yes😂
18 oct
ज़िद होनी चाहिए जितने के लिए,
हारने के लिए तो डर ही काफी है...!!! ❤️❤️
🌷🦋🌷🦋🌷🦋🌷🦋🌷🦋
4:28 ❤
Thanks a lot sir 😢😊
Plz continue class 11th Maths series
Yes please sir
Please sir😊😊
❤😅
Sir, in the same way. It would be incredibly beneficial if you could make a video for the chapter 'Linear Inequalities' (Chapter 5) for Class 11 (CBSE).
🎉 Dear sir is back .... 🥰
I 💛 U SIR ...
📍 Dear Sir means "An Intelligent Personality For Mathematics .... ! " 😌
⚪ Dear Sir - A Loyal Teacher For Us ! ०००....♥️
❤
Sir if imaginary number are not existing then we are learning about them ???
@@garvitsabharwal8768fact 🗿
❤❤❤❤❤❤
You are amazing dear Sir
Exams are near?
Concepts are not clear?
No need to fear.
Coz Dear Sir is here!
❤
3:20 😅
This is very complex😂
Any one in 2024-2025
🔥
I am
Mee❤
Ya
Me😅
Who wants that Dear sir should start IIT JEE Prepration Playlist seperately
Then no youtuber will beat dear sir in their dreams
He should we will be very grateful 🙏
Yes you're right
Bhai wo arts ke students rhe hai
Bhai Dear sir ne CBSE ke chapters ache se padhe nahi hai aur tu jee ki baat karta h
35:21 IMPORTANT QUESTION: (x+zi) + (y-zi) karenge to answer x+y hoga joki complex nhi hai to kya woh law galat hai sir? ya phir 0i is not equal to 0?
Bro x+y is a complex number because every real number is a complex number
@@Arun-vz4yd Bhai 12th pass ho gye🤡
@@Arun-vz4yd bro 🤡
Watching This Lacture One Night Before Maths Exam 🤧
@@kumit9437 phele nahi padh sakta tha....... Chane chab raha tha kya?
Mai bhi 😂😂😂
0:00 - Introduction
17:23 - Exercises 5.1
Bhag yaha sa
Thanks a lot
@@shalokkataria 🤣
Bhai kya 5.2 and 5.3 deleted h?
God bless you sir .. 🫡. You're the saviour...... literally nobody is there on TH-cam that provides a short revision like this ..... 🛐
Kakashi Hatake😄
@@HINATA-x4p hinata-san? 😳
Madara 💀
@@atom_gaming6807 I've been waiting for you, hashirama.......
@@AmriteshHreeshabh obito uciha
Maine hindi medium se 10th ki hai but maths 11th dear sir acha padhate hai toh isliye m fir bhi samjhne k liye english medium ki book padh leta hu 🔥😊😊😊😊💫💫💫 mujhe dear sir ki maths ache se samjh me aati hai 🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻💫💫💫 always support DEAR SIR ❤❤
Wow! The concept of multiplicative inverse is ossm because the formula in the book relate to it
Sir thanks a lot. You literally saved million students .
LOve YOU DEAR SIR ❤❤❤
When I was in 10th, i requested him for 11th class chapters and when my class 12th is going to complete he released the video.... WOW DEAR SIR, YOU ARE GREAT...... 😤😤
Sed life😂
😂😂
Bhay firse karle 11th 😂😂
By the way our batch is lucky 2023-24😅
I have question did sir completed all the topics ?
Day Before exam who watch like please
Class 12th kon kon chahta hai ke dear sir padhay❤
Bilkul Bhai ❤
Me
Me to jarur chahta hu
@@rishudubey1533sab chahte hai
Mere paas arts hai or mene 11th me math rakhli ab 12th me hu math ho nhi rha sir pdha nhi rhe to ma ab math chod rha hu 10th me sir se padha tha or kisi se samj nhi aata math isliye ab chodna pdega 😢😢
Sir.. Please.. Class 12th ka bhi maths karaiye.. 🙏🏻🥺
Sir btech kr rh hu fir bhi dekh li poori vdo 🎉 btw I love your teaching ❤❤
Sir we need your wholehearted help in understanding class 11 th concepts❤❤❤ And we are are always thanking you and your team for this much support for class 11 th students❤❤❤❤😊😊😊😊😊
Complex is no more complex now❤🎉 sir
Good bhai support me 😁❤❤❤
Thank you very much 57:17 sir for this very amazing lecture🔥❤🙏
@@VanshikaTripathi-lv6lm helo vanshika ji
Sir dil se thanks because I am seeing your video before one day of exam and my concept was fully clear by you😊
Me bhi bro
Me also bro 👍
School 🏫 name bro
34:10 - Sir 'Z' is also set of integers. Then how will we differentiate?
bro yaha small z use hota
@@LEGEND69O ok
Here small z is used to denote complex no. And for integers capital Z used
My name is also start from Z😂
57:31 you are one of the best mathamatics teacher of the Indian infact complete world...🙏🏻🙏🏻❤❤
Lets vote for another chapter of class 11 maths by dear sir as soon as possible 🎉🎉
Sir this type of board is much good to concentrate on study and ur teaching is always amazing. Tq sir specially for that type of board to visualize more better
29:13multiplative inverse
outstanding method sir! first time i understand all part of lecture
When we needed him,
He is back!
Bro are u from arjunA
Yes
@@Jdjdidhfb YA BROO
@@momo888yt4 if u r from arjuna then why r u studying from utube
@@ayushi7848 wo to mai aaise hi aagya tha sir ne pehele bohot help kri sir ko aaisi thodi na bhool jaenge
Bhai Bhai Bhai i wasted my 4 months in Allen bansal pw un academy and blah blah blah but when I saw his channel i got shocked bcoz I never felt maths so easy yrrrrrrr ❤️ thank you dear sir 😭
Complex no. Tough??😂
@@Nature-science77 no still maths though
its because this is NCERT level, these coaching institutes teach you JEE Level, on my suggestion, try tarun sir from arjuna jee 1.0, PW is Emotion
Ok sir
Thank u soo much sir, now I just finish my trigonometric chapter from your video and now I was starting this chapter, and when I saw u upload this video now , my mind got relaxed because I was find this chapter one shot video and other videos don't satisfy me , so thank u soo much ❤
Thank you sir for marking maths intrusting and learning with fun . Please make videos on other chapters for 11th class . 😊
Sir ne bola tujhe thank u bolane ke liye......... Chal jakar pahuncha Laga
@@yura_aestheticsto terko sir ne security guard bna rakha hai kya jo thankyou bole use sunane ko 😂
@@ffgod9844 han rakha hai kya bigad lega
I'm from Pakistan
I like your teaching method
So easy understandabl ❤
You always be happy
Sir you are perfect 🎉 thank you so much for clear the concept ❤
THANK A LOT SIR I AM WAITING THIS VIDEO VERY LONG TIME CHAPTER CRISTEL CLEAR HO GYA THANK YOU SO MUCH SIR AGAIN ❤❤❤
Sir ek aap hi hain jo 11th ka math ko esay way me padhate hain. Great sir
Baki teacher itna dra hi dete hain ki question solve karte samay v dar lagta hai.
Whose exam is tomorrow 😂😂
My 😅
Me
My 😂😂
My
Mine 😢
Thank you very much sir pls continue this series
We need them❤
Short Summary for [Complex Numbers Class 11th | Full Chapter | Quadratic Equations One Shot
Title: Mastering Complex Numbers and Quadratic Equations: Complete Chapter Summary
[00:03](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the concept of complex numbers and quadratic equations
[02:25](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the categories of numbers
[06:46](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding quadratic equations and discriminant
[09:33](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Quadratic equations can result in imaginary roots if the discriminant is negative.
[14:38](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Learning operations on complex numbers.
[16:36](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Writing complex numbers in standard form
[20:19](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the power of IOTA and its simplification.
[22:04](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Explanation of the behavior of complex numbers with odd powers
[25:35](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Working with complex numbers and operations like addition and subtraction
[27:18](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding multiplicative inverse and its application on numbers
[30:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Solving for A + Bi using complex numbers
[32:32](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the application of the same formula for finding multiple negative inverses.
[35:59](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Complex number subtraction involves real and imaginary parts
[37:39](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Multiplying complex numbers involves multiplying each term with each other.
[41:01](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Multiplying complex numbers using cross multiplication method
[42:50](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Division of complex numbers process
[46:18](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the concept of complex numbers and IOTA
[48:11](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the powers of IOTA
[51:32](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html092) Understanding complex numbers' modules and conjugates
[53:17](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html197) Finding conjugate and modulus of complex numbers.
[56:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html409) Completing the chapter on complex numbers and quadratic equations.
---------------------------------
Detailed Summary for [Complex Numbers Class 11th | Full Chapter | Quadratic Equations One Shot | Dear Sir Maths](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) by [Merlin](merlin.foyer.work/)
Title: Mastering Complex Numbers and Quadratic Equations: Complete Chapter Summary
[00:03](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the concept of complex numbers and quadratic equations
- Complex numbers are a combination of different types of numbers written together
- Complex numbers are not just difficult, they represent combined submission
[02:25](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the categories of numbers
- Various types of whole, odd, integers, primes, and composites numbers are known.
- All these numbers collectively come under real numbers.
[06:46](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding quadratic equations and discriminant
- Solving quadratic equations by factoring or discriminating values
- Different conditions based on the discriminant's value: more than zero, equal to zero, less than zero
[09:33](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Quadratic equations can result in imaginary roots if the discriminant is negative.
- The discriminant, b² - 4ac, determines the nature of the roots.
- If the discriminant is negative, the roots will be imaginary.
[14:38](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Learning operations on complex numbers.
- Multiplication, division, addition, and subtraction of complex numbers.
- Using familiar methods of addition, subtraction, multiplication, and division with complex numbers.
[16:36](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Writing complex numbers in standard form
- The process of writing complex numbers in the form A+IOTA B
- Explaining the process of multiplying complex numbers
[20:19](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the power of IOTA and its simplification.
- Explaining the concept of raising power of IOTA to 19.
- Discussing the value and simplification of the square of IOTA as -1.
[22:04](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Explanation of the behavior of complex numbers with odd powers
- The result of complex numbers with odd powers will be negative
- Further explanation on rationalizing complex numbers in the form of A + IOTA
[25:35](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Working with complex numbers and operations like addition and subtraction
- Steps to perform complex number operations with detailed calculations
- Explanation of performing operations using LCM and solving for the values
[27:18](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding multiplicative inverse and its application on numbers
- Explaining the concept of square of a number and its application in formulas
- Introducing the concept of multiplicative inverse and its application in finding the inverse of a number
[30:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Solving for A + Bi using complex numbers
- Performing the calculation for A^2 - B^2
- Converting the result into standard form with A + Bi
[32:32](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the application of the same formula for finding multiple negative inverses.
- Using the formula A + B, A - B to find the solution.
- Applying the formula and steps to find the answer.
[35:59](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Complex number subtraction involves real and imaginary parts
- Subtract the real parts and the imaginary parts separately
- Subtracting complex numbers follows the same rules as addition
[37:39](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Multiplying complex numbers involves multiplying each term with each other.
- When multiplying complex numbers, each term must be multiplied with each other to get the result.
- There is also a traditional method for multiplying complex numbers, but there is a short trick to directly find the answer without multiplying.
[41:01](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Multiplying complex numbers using cross multiplication method
- Cross multiply and add to get the real part and imaginary part
- Alternatively, directly multiply all the subparts to get the result
[42:50](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Division of complex numbers process
- Divide the complex numbers by writing one as it is and the other as 1/1/
- Rationalize the denominator by multiplying and simplifying the expression
[46:18](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the concept of complex numbers and IOTA
- Explaining the concept of squaring IOTA and its result as -1
- Understanding the process of dividing complex numbers and related rules
[48:11](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html) Understanding the powers of IOTA
- The value of IOTA's square is -1, hence IOTA^3 is -I.
- IOTA^4 is equal to 1, showing a pattern in powers of IOTA.
[51:32](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html092) Understanding complex numbers' modules and conjugates
- Modules are found using the formula √(a² + b²)
- Conjugate is found by putting a bar on the complex number, denoted as A + IOTA B
[53:17](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html197) Finding conjugate and modulus of complex numbers.
- Changing the sign of the term containing IOTA gives the conjugate of the complex number.
- To find the modulus, square the real and imaginary parts, add them, and take the square root.
[56:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html409) Completing the chapter on complex numbers and quadratic equations.
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[56:49](th-cam.com/video/N2XDRtLrK_E/w-d-xo.html409) Completing the chapter on complex numbers and quadratic equations.
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Bap re bap kon hai yaar toh 😮😮😮
Sir ne pure video me jetna nahi likha hoga usse bada toh tune comment chap deya
Thank u so much sir for continuing class 11th series🥺🙏🏻
Namaste sir I'm from Karnataka we are hoping that you will be with us up to 12th tq sir 😊
Ka_20🤞❤️
hello sir ,
myself a student of class X who is eagerly waiting for boards result ,
sir my request to you is that kindly provide us with a whole playlist of 11th batch , what i mean is you pls keep on providing us with more and more videos ....
sir your way of explanation reminds me of my school teacher i use to study from , but since I'm studying math (additional)
it would be great help ,
thank you
regards- apke pyare students {2024-2025}🙂
hope you'll reply soon .
Bhai kitne aye
I'm a pcmb student .. i also have maths additional
@@Queenly_vibes_15 96 %
Exam is near
Nothing is clear
No need to fear
Because dear sir is here
Lodu exam is near hota h par exam abhi far hai
@@vanshpawar4743 😁😁
@@vanshpawar4743 btw.thankyou ..like lena ke liye 😂 likha tha.....
@@armaan__gautam1 koi baat nahi
Mene apna comment/reply delete kar diya
@@vanshpawar4743 very kind.😉
Kon kon dear sir ko dil se india ka no. 1 teacher manta hai ❤❤
World ke no1teacher hai ye 😊😊
Teacher me koi number one nhi hota guru sab equal hote so don't judge any teacher
India 's no 1 english teacher but India's no 1 teacher is always khan sir ❤❤❤
No
Worlds bes t
Sir I study in Bengali Medium and quite ironically the Term used for Complex Number in Bengali is "Jatil Sankhya" 😆 lol
Class 11 kon chahata hai ki sir series continue kre like kro 💯✔️💯✔️
Vote them for class 12 board series❤
Thank you Sir
School me kuch bhi samajj nhi aya, but sir aapne pura chapter easily samajja diya🥲🥺❤
27:54 -4+0i
Class 12 main kon kon dear sir se math padhna chata hai
Thank you sir
Mai
🎉Thank you very much sirr aap bohot aacha pddate hoo aap hemesha khush rehoo thank you very much 😊😊😊😊😊😊😊😊😊😊😊😊orr bhi 11 class maths kii bnate rehna video......
Math's best teacher
Thanks for your hard effort for us sir ...
We are lucky that we have a teacher like you🥰🥰love you sir....❣️❣️
😊😊😊
Sir mera concept crystal clear ho gaya , bohot bohot dhanyawad.❤❤
It was just amazing, fabulous, mind-blowing sir 😊
sir please upload video of chapter - linear inequality, we are in so much need of this chapter because half yearly exams are coming 😭 .
Utna tough ch nahi ha ho jayega
Understandable teaching I learnt because of u sir
hat's off to you sir ✨✨
You just explained it so easily ♥️♥️.
Thankyou sir 👍👍
Thank you very much sir for this usefull video ❤️❤️,now I am study in class 11th ,and I will crack jee and jee advance
Same
Isme toh jee main ke theory bhi cover nhi hue hai? Kya baat kar rahe ho?
I am student of diploma and I am watch this video because my favourite teacher of math dear dear sir ❤❤❤
I hope next chapter will come soon❤
SIR YOU ARE GREAT OF ALL TIME👍👍
Sir you are such a awesome teacher when you teaches us our whole problems become solved
Sir I am waiting since april.
I want to complete my class 11 maths syllabus quickly.....
Thanks Sir...... 🙏❤💖
Kon kon october se padhna start kiya only legend can like😂
Mai bhai 😂
Fantastic session sir 😍 tommorow is my exam and you helped me a lot 😄
सर, मैं आपके द्वारा दी गई सभी अवधारणाओं को समझ गया, धन्यवाद सर, कृपया ग्यारहवीं कक्षा की इस श्रृंखला को जारी रखें, इससे बहुत से लोगों को मदद मिलेगी, मेरी टिप्पणियाँ पढ़ने के लिए धन्यवाद!
I score A± in maths because of this legend sir ❤❤❤👐👐👐
Thankyou sir ji!❤ Apki video to the point aur bohot hi time efficient hoti hai, please bache hue chapter dal degia ❤❤❤❤❤
Best teacher forever ❤❤❤❤❤❤❤ sir I scored 95 marks in class 10th only because of you ❤❤❤❤
Jayada mat fekh 🗿
@@prashantkumaryadav6338 fekne ki jaroorat apko hogi hme nhi hai ...
THANK YOU SO MUCH SIR Genuinely!! 🥰
May God give you more success and happiness sir.. You Deserve them all!! 🧿🌟
So Grateful to you Sir.. 😊
Yes u are right 👍
Sir and one more thing, please bring the math series for class 11th 1st term examination which contains the most important questions which are asked in CBSE school.
Sir please also make a video on linear inequalities because this chapter is coming in my mid term exams .Humble request to you sir 😅
Tomorrow my exam and this chapter is also in my mid term 🥲
Dear sir na khtam kar diya maths ka fear ❤❤❤
aap ka yeh video bht intersting hai jo bacche ko maths nhi pasand woh bhi boht shook se padhne ke liye bheth jayega aur aap ki yeh video dekhe ga
youtube.com/@TH-cam__CARTOON2?si=KIZzWhgeoO1omRcI
Entry ka tarika bhut casual ✅
Casual❎
Kazual✅
Jee Wale kon kon hi √
Me 2026 👊🏻👊🏻
Competetion dekh rhe ho laundo 😂@@AM-tu2xw
@@AM-tu2xw same bro
🫡
@@AM-tu2xw same bhai main bhi 2026 mein dungi but aap kaha se preparing kar rahe ho please tell
Bhai jee ka 1% bhi nhi karaya sir ne agr jee clear karni hai toh dear sir ki videos mat dekho
Thanku sir🙏🏻 for such a great explanation 😊😊
Sir linear inequalities ch chahiye 😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😊😢😊
Sach me sir apke waje se hamara tution fees Bach jata hai ❤
Sir please bring a video series of all the most important questions of RS Aggarwal book which are asked in CBSE. Class 11th..😢😊
Thank you so much Sir please continue this series 💛💛💛
Ati uttam guru ji 🙏
Thank you dear sir this video was very usefull for me 🎉🎉🎉❤❤❤
Any one in 1990 - 1991
Mai to 1995 me dekh rha hu bro
Mai 1947 me dekh rha hoon bro
@@Only_Game-rs Bhai kis mahine me desh aajad hoga ?
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@@कलुआडॉन-786 bhai agle mahine hone wala hai 15 august ko😊
Hlo seniors
I'm a tenth grader. I want your help. I wanna ask how was your class 10th maths exam? Was it based on ncert? Or was it from Rs/Rd? Exams are near. Please help me. Some people say it is based fully on ncert and some say the questions are just out of syllabus/ncert. I wanna know real experiences of students. Please help me.
Yeah it was based on ncert only.....only thing is that words may confuse you but if you know the concept...it's good then
My suggestion will be just download previous year and put tht sum u will get 90+
Thnk u so much dear I'll definitely do it ❤️
I'm a 90% + student from boards and bs itna yaad rkho ncert based que h lekin ghumake puchega mtlb sirf concept based... Concept acha rkho bs yahi demand krta h boards
Loved it sir ❤❤❤❤❤I was actually finding this chapter, Thanks.May God bless you with all the happiness and success in your Life ❤❤❤❤❤
Vote for all class 11 Trigonometry chapter videos
👇
Pehle se hi hai 😂
Plz more chapters 😭🙏😭
And also thanks for this Sir ji ❤❤
bestttt teacher ever.....mathematics ko math bnane k liye thankyou sirrrr
Outstanding concept by dear sir 👌👌👌👌🙏🙏🙏❤️❤️❤️❤️
Bhai 2024 ke syllabus mein iska agla part deleted hai kya jo graph wagera the
Sir mera to syllabus hi simple ho gaya aapka ek video dekh ke👍
Jo like nahi kara wo kal exam me fail😂
😮😮😮😮
Ho jane de tu pass hona😂😂
Ma too phala hi fail ho gaya hu
Bhai per mera exam to ajj hai 😅
Lekin mera Exam kal nhi h😅😅