NCERT Class 11 Maths | Chapter 4 – Complex Numbers and Quadratic Equations | Theory | Bilingual

NCERT Class 11 Maths | Chapter 4 – Complex Numbers and Quadratic Equations | Theory | Bilingual Welcome to Samarth Academy Official! In this video, we begin Chapter 4 – Complex Numbers and Quadratic Equations from NCERT Class 11 Mathematics. This session explains all basic concepts, definitions, and theory related to complex numbers and quadratic equations in a simple bilingual (English + Hindi) format, ensuring complete clarity and conceptual understanding. This lecture forms the foundation for advanced chapters like Sequences & Series, Binomial Theorem, and also plays a major role in JEE/NEET preparation. 📘 Topics Covered in This Video: Introduction to Complex Numbers Understanding Imaginary Unit (i) and its powers Representation of complex numbers on the Argand Plane Algebraic operations on complex numbers (Addition, Subtraction, Multiplication, Division) Modulus and Conjugate of a complex number Polar form and Trigonometric representation of complex numbers Concept of Quadratic Equations and Nature of Roots Relation between roots and coefficients Derivation of Discriminant (D = b² - 4ac) Solving equations with real and imaginary roots 🧠 Learning Outcomes: After watching this video, you will be able to – Understand the concept of imaginary and complex numbers clearly. Perform all types of algebraic operations on complex numbers. Represent complex numbers geometrically on the Argand Plane. Identify the nature of roots of quadratic equations. Develop a strong foundation for higher-level mathematics and entrance exams. 📖 संक्षेप में (In Hindi): इस वीडियो में कक्षा 11 गणित अध्याय 4 Complex Numbers and Quadratic Equations का पूरा Theory भाग समझाया गया है। यहाँ पर complex number की basic definition, iota (i) की powers, Argand plane पर representation, और quadratic equations के roots का nature बताया गया है। वीडियो bilingual (English + Hindi) है ताकि हर विद्यार्थी आसानी से समझ सके। 🔍 Why You Should Watch This Video: Covers entire theory of Complex Numbers and Quadratic Equations. Builds strong conceptual clarity for board and entrance exams. Ideal for NCERT Class 11 and JEE/NEET Foundation students. Bilingual explanation makes concepts easy and relatable. Includes important exam questions and derivations. 📚 Key Concepts Explained: Imaginary Unit and its Powers Complex Numbers in Algebraic and Polar Form Modulus and Conjugate Quadratic Equations and Roots Discriminant and Nature of Roots Graphical Representation of Quadratic Equations 🎯 Who Should Watch: Class 11 NCERT/CBSE Students State Board Students following NCERT JEE/NEET Aspirants (Foundation Level) Teachers & Tutors preparing concept lectures Students revising Complex Numbers and Quadratic Equations before exams 🔗 Related Videos from Samarth Academy Official: Chapter 3 – Trigonometric Functions (All Exercises) Chapter 4 – Theory (this video) Chapter 4 – Exercise 4.1 (Upcoming) Chapter 4 – Exercise 4.2 (Upcoming) Chapter 4 – Miscellaneous Exercise (Coming soon) 💡 Tip for Students: Remember that 𝑖 = − 1 i= −1 ​ and 𝑖 2 = − 1 i 2 =−1. For higher powers, use the pattern: 𝑖 1 = 𝑖 i 1 =i, 𝑖 2 = − 1 i 2 =−1, 𝑖 3 = − 𝑖 i 3 =−i, 𝑖 4 = 1 i 4 =1, and repeat. These properties simplify many complex expressions easily. 👉 Don’t forget to: ✅ LIKE | ✅ SHARE | ✅ SUBSCRIBE 🔔 Press the Bell Icon to get updates for all upcoming NCERT Class 11 Maths videos from Samarth Academy Official. #Class11Maths #ComplexNumbers #QuadraticEquations #NCERTSolutions #MathsClass11 #SamarthAcademy #NCERTClass11 #CBSEClass11 #MathsInHindiAndEnglish #BilingualLecture #ComplexNumberTheory