Complex numbers || 11th Math || Chapter 1 Lecture 5 #complexnumbers @a2zpractical991

Here, I will write 1-i What is the value of iq, it is minus i So, you have to write minus i And the power of 1 is the cube root of 3i What is written, the cube of the square root of 3i The cube of the square root of 3i means the square root of 3. Hello friends, how are you? I hope you are fine. You are wonderful, my name is Rahul Singh. In lecture number 4, we studied some properties There was some problem on the basements of those properties. We did the workout today; now we're moving forward with our exercise routine. Let's solve the problem; let's move on to our lesson. After Namr Fift, we look ahead to see what awaits us Let's solve the puzzle then. Let's go. So, using this formaldehyde solution, we have dissolved this prawn and are now observing it, and it appears to be... What can be done? What has been said? What is a U? What is a U? What does minus one mean? A-1 AQ 3A2 A-1 B B-1 √3I 3A B2 3A A-1 B2 √3I entire square BQ √3I Note it down 3 times "-1", that's it Will be a man, three So what will the Tris' world write and what will they leave behind? Men will write, they will write essays. But I'll write "man's tree" inside the brackets. Now look from the diya root three isquare In the square root of Madhali, write the root as well. And the square of i I need to write And when You will also download it. Skyne 2 is a slow learner. 25th KA What is the name of the river? to 3 So Outflow Its neighborhood He will do it. Whatever I write, I'll type it down. 3 And I'll write it down right here. Alright Your net worth in the ice square step is the value. If you put it down, I'm just about to finish these things. Look from Njhan and tell us what we should do Plus is written Plus Alright Now I'm telling you Why is the square root of 3? What is guinea? us three times the square root of 3 To multiply Alright So, look, twice When you multiprize it 3 × 3 9 3 9 3 root 3 IQ I will come and let you all know When I came, I squared up Write minus 1 When IQ came minus I writing I raise to 4, come on What should we write? 1 to write What is it again? When I came, I squared up What should I write? -1 I rise to Q came. I raise to 4, when I came What should we write? 1 to write And the value of I is You know it, don't you? What is the root of minus 1? Alright I hope you are doing well. It must be clear by now. And here -1 3 root I am What else is there? -9 In place of the square What should we write? Write minus 1 3 root 3 In place of I What should we write? I want to write Alright minus I need to write Now carefully look -1 Plus 3 root 3 I Minus Minus into minus What will happen? It will be added. 9 will come Alright Plus Plus into minus Mouth of 4 I reish too 4 into I swar Lixi Dao I reish too M into I reish too N This is a single unit. M plus N is added Because their bases are the same You will feel weak. You know, right? I will know the exact power of this. Now what do we do? We also write i raised to 7 in this form. What should I write? I raised to 4 into I raised to 3 And if you do 4 plus 3, will it become 7? Alright, then what is this? 1 plus i raised to the 11th power? So I will write it as a multiple of 4 4 times 8, 4 times 12 is 48 And if I do 8, then 11 will come. If I do 3 out of 8, what will come? If 11 comes, what should I write for this? i raised to 3 What will you get if you add 8 plus 3? 11 will come, okay And whenever there is a power of i, if it is a multiple of 4 So what do we have to write there? We have to write 1. Alright, then look carefully, what is it? Look at this: what will 2 × i become? 2 i will become and the value of i squared will become It will be minus 1. So we will write this in our next step. What would you write for the 4th level of the world? 1 x i squared is correct I raised to 4 ki baaran The big one of I Scor is minus one, so plus here Minus one plus minus one becomes minus two. Now I will write one below the denominator Don't write anything, no spark comes, okay? What will happen will be this plus, this minus. Plus into minus minus will become, and what will remain Alright, then I'll write this one in dark too. What should I write...? I'm here right here I will write "one minus I" I will write 1-i. I'm roughing it up. What should I write here? I'll write 1-i. 1-i What do we need to do now? We need to multiply these. And write the things in the form of complex numbers. Alright, what value does it give him? 3 - 2i What should I write here? -1 + i, 1 - i Alright, what is it? What should I do with this? Solve it? Multiply by minus one I can do this 1-i. So 1-i What should I do then? Plus I multiplied by What can I do, plus I One minus i Alright and close bracket Alright, now look carefully What was it? Look carefully. What is it? 3 - 2i Leave it as it is, and what's written What is minus one into one? Minus one Then minus into minus What will happen, plus what will happen And when I enter, I become I Then write it like that, okay What will be plus I into one? I will be. What will be the result of plus I into one? What will be the result of plus into minus? It will be minus. And I enter I, what will happen, I will square it, it will grow Alright Now, we must figure out what to do; solve it, look at it with concentration. First, I write 3-2i just like this Then what should I do now? What should I write on the Squard's Jagwa? Write minus one What should we write? Write minus one And what will i plus i be? It will become 2i, just look from Dihana. This is minus one. I see you're looking at me, plus me, right here. What will happen to you? It will become 2i. They are. And this is the i Squad. Need to write what on his grave? Write minus one When you I feel like Plus One Alright What's going on? Your 2i police station So, write 2 i here This will become your Plus One. Just look at the bus right there Mybus One and Plus One What on earth is going on? What is this, Hojja? It will be canceled. minus 1 and plus 1 What will happen? It will be canceled. From the body What will be written? Minus 1 plus 1 is 0. Then the other two will also be canceled. You will survive, your 2i will survive. Look at me from the other side. 3 - 2i I will survive What do you need to do now? This two-eye thing Multiply with this predicate So, let's move to our next slide. And what was written when we multiplied? 3 minus 2i Alright, into two I To I It's now possible to multiply To I Mashina ho dekhe You're here Will survive What will you write? What else can be done? So 6 I minis iti minis ka hoga 4 will be, right? Then its place will be occupied by a proposal. Minis Eti Minis' place will be occupied, and write down the number 4 in the corner. So what answer will you get? What did I used to do? I link first to the four, then to the plus 6 I link. Whose firm is this shown in? It should be shown in the form of a complex number, right? In what other way could you write this now? 4 What do I do? I write "I" first, then write "6" Alright Who are they appearing to be in the firm? They appear in the form of complex numbers. And what were we supposed to remove? We had to solve this expression. And we had to find its value. So its value that has come in What is this? Complex number is Alright I hope you have understood. How we solved this problem Alright You will receive this answer. What will be given? I am writing it again here 4 plus I 6 This is your answer to this. I hope you have understood the things. For your next problem And let's see what we need to do. Alright I mean that We need to evaluate these. I mean that The value of I Evaluate this You need to copy their value and bring it. Alright So what do we do? I am to you I'm taking a sum. And explain it to him So, please look carefully Then you will easily solve the puzzle of the pudding. Bhidaao, help me Look carefully, what is it? What have I written first? I to the power of 35 What do you need to do now? Whenever I's power is 35 35 or very large power displayed So what do you have to do? Divide 35 by 4 Do you want to divide it by 4? And this to question and remainder If you need to write a form, then 4 times 7 is 28, correct? And 4 8 how much does it make? 32 and 4 9 go 36th And 3-3, you'll do it So what will happen? It will become 0, 5 minus 2 will go. What should you do when 3 comes? First, this I Write 4 to the power of I why Because we are dividing by 4 35 to this number If I'm dividing the form, what should I do first? The power of the first I Write in power At write These are their remainders. What will 3 come to? Write down that remainder in the power of I. Alright, and I had already told you about it. Anything at any time The power of I shows as 4 Now carefully look IQ, what is the value of IQ I'm negative, so what should I do here? You have to write minus I, okay And in the power of the forest No matter how many numbers there are, what's the point of enso? We bring it out, we bring it out, the power of the forest Now when you go one into minus i So what will come out? Minus i will come out. Alright, so when I was there You will evaluate Thirty Five. So what will its eigenvalue be, minus i It will come, okay And the way I am about to tell you right now Just pay attention to the reminder and the note What should we do for whoever wants to show power? You must immediately disconnect it; when you immediately disconnect it Just pay attention to this much. 93 So, I have said that We have to divide 934 by 4. When we have to divide by 4 So what I will do is First in the power of I I will write 4. And then I will go To divide 934 Into 4 Alright What you have to do is You have to divide 934 Into 4 What you have to do is You have to divide 934 Into 4 So, what I do is I divide the good 93 Into 4 See 4 multiplied No. 2 Now will be 8 9 multiplied by 8 Will it come? Will it come? One will come, and remove three as it is. What exactly is a fur, Therri? It's a fur, that's what it is. Write it down, what will come to you today? One will come, 13 will go, how much will come today? Van will come, right? How much will it come? Van will come. Alright, so listen, Van went to Zero from Van And there, two went away, one. Right, this is your withdrawal, what did you say? Write four in the box that has come. I'll take care of it, okay? I hope you understand me. Look, I'm solving another problem, problem number seven. The rest of the children, you try to solve this problem happily. What do we have to do with this I? Divide by four First with I Write four What happened to you, four, what will happen to you? This time, he was It will be canceled, then you will pick up the Jehovah's Witness pamphlet below. So, will it be 4, or will it become 8? Wake up, then one 8 was there, fur then go to add. What is this, Gensal? Wake up, wake up! Zero will remain, that's the point. Its yoga zero baby means that we will write i in the power of zero. Write zero in the power of i If you write i to the power of zero, what will you get? It will be one, won't it! Just like 1 to the power of zero is one? Alright! So there's no need to write this down. We never need to write it with i in the exponent whenever we come to reminders. What should we say so that its content comes, we need to write it in its power. What is 2 2 2? And what should I say to you Whenever the power of I is a multiple of 4, what should be written in its place? One should be written. Write 2, 2, 2 here And what does any forest, regardless of its power level, give as an answer? It gives one. Then one by one, they will come. And Daret, what can you write about this? You can write one, that's fine So, what was your answer? Did one come out for you? I will explain it to you. Now the remaining problem is with this exercise. Problem I need to divide this 30 by 4. So 4, 7 how much is it 28 Isn't it? 8 out of 10 went 1 2 out of 2 gone 0 So, one child, one child What can I write, exactly? What is the cosine of 7 in power 4 of i? So I can write 7, and here there is 1 child I mean, this is in the power of I. I can do it, okay. Now, the power of the I. If I do 1, what will come out? I'm here It will not come out, nor will this forest be written. There is no need for this here. Jiro came, but he didn't tell me; Jiro will get up. Then first, I'll increase this from zero. Then I'll raise this zero, okay? So Ten came. So what can I do, with its rotten bones? I can write beyond the letter I. What kind of a thing is this?! The direction is Dikyangotata When J ici came, even then There's no need to write 'Euro' in Ayki Power. Because if you put euro in the power of aye, the same will come out. And the same entity multiplies it So, will it be 4, 1, or 4? This will be 1 tomorrow, 0, 4, 2, or 8 And 8 out of 10 went, 2 will come today So I will write the second one on the other side. Here I will write i Squad Alright and exactly like that She is over 60 years old now. We What will I do with 60 divided by 4? I'll divide it, okay, and After dividing, the answer that comes out When he comes, I'll write it down—what should I do? I'll take the first 4 over there, and then From this 4 to this 60 Divided by 4, it's 4, 1, or What will come in place of 4 in 4, 6? Tomorrow will come again, zero will be forgotten. Then say 4, 5, or 20 Okay And what are these coming today? 0 coming today? Okay, so across the river of i How long will this take? It'll come in 15. And if you cross the threshold of i, then this What comes out is 1, isn't it? What should we do? No need to write, okay I hope you understand from now on that I have How was the problem solved? You Division is required. You with that division's method You can easily solve this problem. And what have I said? into the realm of i Four things are appearing multiple times. So, what should we write in his letter? If you want to write it, then in the midst of the i's When four things appear simultaneously I will write there. Their par 7, and what is this? I am in, I am okay, that's fine Write, what is this? Write it in brackets 4 over i Plus If i's part is 4, then 1, 12 And write i square. Plus 4 is in the place of i; in its place, A is there. Write and write 15 What should I say wherever I go You will see Square appearing right where it should be What should I write? Write minus one This is a two-story i Square. I am square. These two came out These two are 10 in the 1st place. What is not this? You are the one who is number 1 I feel a cool, refreshing green in the midst of the heat. So, in this age, a single ray of light has taken the children away. I will choose O Visiona for you. of a audio plus Pildi and I have already gone to the Angolas. Write in its power, and if there is a remainder, write it separately. Write with power in i and things You need to solve it, right? And you I equal to root of minus 1 i squared minus 1, okay And if iq remains, then minus i i raised to 4 What needs to be written, write that down; these things are for you. I hope you enjoy today's lecture It must have felt great, right? The remaining problems, we'll cover in our next lecture. Thank you for solving until then.