Complex Number || 11th Math || Chapter 1 Part 8 #complexnumbers @a2zpractical991

Rahul Singh, a prominent figure in the problem-solving domain, continues to inspire people through his innovative programs and initiatives. And the way we have experienced the days of the program, the core of the program has been something we have come to know. Were solving problems Today is our last problem. Exercise 1.1, Question Number 24 Inside him, all the total problems are resolved. Exactly, in today's lecture we will cover those problems. We'll do it without time We'll solve the problems without wasting time. What else is written here? 2x - 3y I Here you go, this is for you people Given in Keshtrend Show me now what you can do Here is B.I., here is B.I. You can write i as a comma. You can, and 2x - 3y Show yourself with mindfulness This is your real part. And what is this for you? Far too much for us That will be it. Bro, come on, take it already You also follow this method What am I doing, Dogo? x plus 2y Alright, what is written? plus 2x minus 3 years, which we already had In the form of imaginary and real parts Given that, we can do anything with it We will not make any changes; what will we do directly? This is plus 4i, right? What are we going to do with it? Alright, what should we do now? Alright, so look here What am I doing? I'm writing briefly, you guys Write the entire imaginary part with each other Alright each other Alright, here's what you need to do, this is real. And comparing the imaginary part with the other one Yes, and to a second one If you need to write in wrist, then this x plus 2i, the real part is, and here the real part is, phi So, x plus 2i equals what? It will happen, it will be fine, okay Alright And what is this 2x - 3y? 2x - 3y What will it be equal to? will become equal to minus 4 Why is it written as minus 4, because with this it It's positive here, negative there, okay? So here, what came was minus 4. Alright, this has become your Equation 2. Now what we need to do is these 2 equations From the two equations, we have found the values of x and y. And this kind of problem The ones you all solved in class 20 linear equation in two variables Alright, so here's what Iauss I solve for the value of x here. If I find the value of x, what will I get? The one I give you is equation 3. And I will substitute equation 3. What should I do at equation 2? inserting equation 3 in Equation 2 Alright, I'm writing the equation now. You can also write this way, or if you wish, you can do so You can also write the full spelling of the equation, okay What am I doing, equation 3? I am substituting into equation 2 The value of x where it is located What should I write for his address, 5-2y So in the 2x grid, what should I write, 2 into 5-2y, look 2, then the value of x What is it, 5 - 2y Alright, which is what we need obtained from equation 3, and then this What is it, minus 3y What is equal to, minus 4, What should we do now Simplify this and find the value of y here. I need to fetch it, look, I'm here I'm solving it, okay, what is this Hojga, 5-2j, 5-2j 10 will be, and what will it become, 2-2j That will be your minus 4y, okay And what would this say, minus 3 years, and here you are Would have been given to people, minus 4, I hope you People understanding things, okay, minus 4, minus 3y, what will this become? minus, minus, plus will be, and symbol which It will come, minus will come, this is it Your hojga, minus 7y, okay, And this minus 4, and ten to What will come if you take this along? Alright, you'll take Ten along with you. Then you will get it, minus 10, okay Very simple Things are, which are for you people Class 8, 9 from this method onwards If you've been solving the problem, that's fine. What should I do? I just do plus, minus. Try playing, okay, now suffer. minus 7y, and this It's minus 14, okay, you're good. And here, minus, minus will cancel out, And this is your 7y What remains is equal to 14, Alright, and the value of y If we need to divide, what should we do, 14 divided by 7, which will come out. 2, what value did we get for y, 2 milliliters. Now substitute y = 2 into Just plug it into equation 2. And find the value of x here So y equals 2 in the equation 3 Set it up, and find the value of x. So what do I do, y equals 2 I substitute 'put' in equation 3, okay, You're doing it right here. y equals 2 in equation 3, OK, y equals 2 I plug it into this equation. What is written again? x equals What is 5 minus 2y? 5 minus 2y So we need to find the value of x So 5- What should we write in place of y? I need to write 2 because why? Because what value of y has been obtained? Two have been removed, that's correct. Now carefully observe, what will be the value of x? 5-4 x equals what is I A 1 AI, it's fine, so in the solution x equals 1 and y equals what is my I A It's AI, this is our solution. So I hope this explains the problem to you how we handle problems of this nature We just need to solve it, real and imaginary parts only. You need to write things in the part form. Compare and the values of x and y It's for Nikan, and whatever problem you have Understand. So you need the equation in two variables You will get things in the form In class 10th, 9th grade equation in two variables We will solve the sum in a very easy way. You will practice a lot. Alright, then let's go. Let's take a look at your next problem. How can we solve the next problem? Alright then x plus 1 over 1 plus i Then y minus 1 upon 1 minus i What can you do? that I never put a complex number in the denominator If things are appearing in the form, what should you do? You must try to rectify it with him. What can you do here? Multiply by 1 minus i What else can be done? Cross multiply these. And the denominator of these is Try to do the same with him. We can do that too, then us We will cross-multiply and then multiply their denominators We will try to do the same, okay? So, what am I doing? What would be written there? x plus 1 over 1 plus i Alright, and then what would be written? y minus 1 and it would have been written as 1 minus I equal to I Now what should I do? I'll cross-multiply them. So, what will happen to the two of them? x plus 1 will become this 1 minus i, this cross will be multiplied, then 1 minus i same way y minus It would have been given to you. If you cross-multiply, what will happen next? Alright and What will happen to this? 1 plus i is will be 1 minus i You people are making the denominators the same In a very excellent way from the process You will be the owner, that's correct. Because things of this nature are ours We've been doing it since class 8 and 9, that's fine. Here, just in the form of a variable What will we do? We will simplify it. And we'll solve the issues. x to the power of 1 and 1 to the power of plus 1 twice y to the power of 1 and with -1 plus I and this a to the power of a plus b a-b b-i x