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Cube Root of Unity – Complex Numbers | JEE Maths by 9nid

If you’re doing IIT ki Teyari, learning Complex Numbers is very important. One key topic in this chapter is the Cube Root of Unity. This is a common question in JEE Maths, and it is useful for both Class 11 Maths and Class 12 Maths students. What is Cube Root of Unity? The cube roots of unity are the solutions of the equation:x³ = 1 There are 3 roots: 1 (real number) ω = -1/2 + √3/2 i ω² =…

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De Moivre's Theorem – Class 11 Maths | JEE Mains & Advanced ke liye Must-Know Concept

IntroductionDe Moivre’s Theorem ek powerful tool hai jo complex numbers ke powers aur roots nikaalne ke kaam aata hai. Yeh theorem especially helpful hoti hai jab complex numbers ko polar form me likha gaya ho. Theorem StatementAgar koi complex number z = cosθ + i sinθ ho,Toh De Moivre ke anusar:(cosθ + i sinθ)^n = cos(nθ) + i sin(nθ) Agar complex number ko polar form me likhen:z = r (cosθ + i…

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Title: De Moivre's Theorem – Complex Numbers ka King Formula!

Agar aap JEE Main ya Advanced ki tayari kar rahe ho, toh De Moivre’s Theorem aapke liye ek must-know concept hai. Yeh theorem complex numbers ke power nikaalne aur trigonometric identities prove karne mein kaafi kaam aati hai. Aaiye ise ekdum simple language mein samajhte hain! De Moivre’s Theorem Kya Kehta Hai? Agar koi complex number polar form mein likha gaya ho: z = r (cos θ + i sin…

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🧠 Solutions of Complex Equations – Class 11 Maths | JEE Main

Solutions of Complex Equations – Class 11 Maths | JEE Main Complex Numbers ke concept ko samajhna ek baat hai, lekin complex number ke equations solve karna is the real deal — especially when you’re preparing for JEE Main or studying Class 11 Maths. Is blog mein hum step-by-step dekhenge ki kaise complex equations ko solve kiya jata hai using basic algebra, comparison of real and imaginary…

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Square Root of Complex Numbers | Class 11 JEE Maths | Complex Number Series 🔥

Is video mein humne complex numbers ka square root nikalna seekha hai — wo bhi JEE Mains ke point of view se. Kaise aap kisi bhi complex number ka √ निकाल सकते ho using algebraic as well as geometric methods, woh step-by-step samjhaya gaya hai. Yeh Class 11 ke Complex Number Chapter ka ek important concept hai jo directly JEE mein poocha gaya hai. Topics Covered:👉 What is the square root of a…

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✅ Check Point 02: Complex Numbers Questions Practice – JEE Main ke liye Full Concept Recap

Hello JEE Aspirants!Aaj ke is blog mein hum cover kar rahe hain Complex Numbers ke sabhi important topics through 18 conceptual questions. Agar aap JEE Main ya Class 11 Maths padh rahe ho, to yeh ek perfect revision aur practice checkpoint hai. Hum basic se lekar advanced tak sab kuch revise karenge practical examples ke through. Conjugate of a Complex NumberAgar koi complex number z = a + ib…

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📘 Understanding Polar and Euler Form of Complex Numbers (JEE Focused)

Complex numbers are a fundamental part of Class 11 Mathematics and play a key role in IIT JEE preparation. After understanding the basic algebraic form of complex numbers (a + ib), we move on to more advanced forms: Polar Form and Euler Form. These are not just theoretical—JEE questions are often asked directly on them. In this article, we’ll cover both concepts deeply, in a student-friendly way,…

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Understanding Argument and Amplitude of a Complex Number – Complete Guide for JEE Aspirants

If you’re preparing for the JEE exams or studying Class 11 Maths, mastering Complex Numbers is crucial. One of the key concepts is the Argument (also called Amplitude) of a complex number. In this blog post, we will dive deep into the meaning of argument, how to find it, and how it’s used in solving JEE questions – including a solved JEE Main 2019 question at the end. What is a Complex…

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📘 Modulus of a Complex Number – Concept, Properties & JEE Applications

Understanding the modulus of a complex number is essential for mastering the chapter Complex Numbers in Class 11 Mathematics, and it plays a significant role in JEE Main and Advanced. Whether you’re using Cengage, Arihant, or RD Sharma, modulus forms the base for many key concepts and questions. In this blog post, we’ll break it down with a clear explanation, properties, geometric insight, and a…

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🧠 Understanding the Conjugate of a Complex Number

Class 11 Maths | JEE Foundation | By 9nid 📘 Introduction In the world of complex numbers, the conjugate plays a vital role — not just in algebra but also in geometry, coordinate systems, and problem-solving for JEE Mains, Advanced, and other competitive exams. Let’s dive into what a conjugate is, how it works, and why it’s important. 🔍 What is a Complex Number? A complex number is of the…

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✅ Complex Numbers Checkpoint-01 – Class 11 Maths | Practice & Revision by 9nid & IITKiTayyari

After learning about iota powers and algebraic operations on complex numbers in our first two lectures, it’s time to revise and test your concepts. This Checkpoint-01 video is designed to help you reinforce everything you’ve learned with a variety of question-based practice. 🔁 What’s Covered in This Checkpoint? Quick recap of iota powers and their patterns Algebraic operations (add, subtract,…

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📘 Algebraic Operations on Complex Numbers – Class 11 Maths | Complete Guide by 9nid & IITKiTayyari

If you’re a Class 11 student or preparing for IIT-JEE or competitive exams, mastering complex numbers is essential. In this post, we’ll break down algebraic operations on complex numbers — one of the most foundational topics in higher mathematics. This blog is based on our latest YouTube video from the 9nid and IITKiTayyari YouTube channels. You can watch the full lecture for visual…

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📘 Understanding the Integral Powers of i (iota) in Complex Numbers – Class 11 Maths

Complex numbers are a critical part of Class 11 Mathematics and lay the foundation for higher studies in engineering, physics, and computer science. Among the most common doubts students have is how to deal with integral powers of i, also known as iota. In this blog post, we will break down the powers of i (iⁿ), understand their pattern, and explore shortcut tricks to calculate them quickly. 🔹…

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Mastering Special Series in Geometric Progression (7+77+777+... & 0.3+0.33+...) - Complete Guide

Geometric Progressions (GP) become fascinating when we encounter special series like: 7 + 77 + 777 + 7777 + … to n terms 0.3 + 0.33 + 0.333 + 0.3333 + … to n terms (and infinite terms) In this comprehensive guide (based on 9nid’s YouTube Video – Geometric Progression Part 3), we’ll break down:✓ The step-by-step method to solve these series✓ How to find sums for finite AND infinite terms✓…

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🧠 Mastering the Sum of Geometric Progression (GP) – With Easy Examples | JEE Series by 9nid

Geometric Progression (GP) is one of the most scoring topics in JEE Mathematics, and when taught with clarity—it can be a game changer. In this blog post, we’ll simplify the concept of Sum of GP, explain important formulas, and walk through solved examples exactly as discussed in our latest video. 🎥 Watch the Full Video Here:📌 Sum of GP Explained with Examples | JEE Series – 9nid ✍️ What Is a…

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📊 Playing with Graphs – Graphs of x^n Functions | JEE Graph Series Part-2 by 9nid

Visual learning is one of the most effective tools in mathematics, especially when preparing for competitive exams like JEE Mains & Advanced. In Part-22 of our JEE Series, we dive deep into one of the most commonly tested and conceptually rich graph families — the x^n functions. 🔍 Why Focus on x^n Graphs? The family of functions defined by f(x) = x^n (where n is a real number) appear in topics…

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One Step Forward: Your Real Journey Starts Now | @9nid

Ever feel like your dreams are too big… and you’re too small? What if I told you that every creator, every topper, every success story you admire started exactly where you are—unsure, unprepared, but willing to take just one step? On this channel—@9nid—we talk real. Real hustle.Real setbacks.And real growth. You don’t need to have it all figured out. You don’t need the best gear, the perfect…