Скачать или смотреть NCERT Class 11 Maths | Chapter 4 –Complex Numbers and Quadratic Equations | Exercise 4.1 | Bilingual

NCERT Class 11 Maths | Chapter 4 –Complex Numbers and Quadratic Equations | Exercise 4.1 | Bilingual
Welcome to Samarth Academy Official!
In this video, we solve Exercise 4.1 of NCERT Class 11 Mathematics Chapter 4 – Complex Numbers and Quadratic Equations.
This exercise introduces the basics of complex numbers, powers of i, and algebraic simplification problems explained in a bilingual (English + Hindi) style for clear and complete understanding.

This session helps build the foundation for all upcoming exercises of this chapter and prepares students for Boards, JEE, and NEET Foundation.

📘 Topics Covered in This Video:

Definition of Complex Numbers

Concept of Imaginary Unit (i = √–1)

Powers of i and cyclic pattern (i¹, i², i³, i⁴)

Simplification of expressions using powers of i

Algebraic form of Complex Numbers (a + ib)

Representation of numbers on Argand Plane

Step-by-step solutions to all NCERT Exercise 4.1 questions

🧠 Learning Objectives:

After watching this lecture, you will –

Understand the meaning and properties of complex numbers.

Learn to simplify expressions involving powers of i.

Represent complex numbers geometrically on the Argand Plane.

Strengthen your conceptual base for further exercises (4.2 & Misc).

Prepare effectively for board and entrance exam level questions.

📖 संक्षेप में (In Hindi):

इस वीडियो में कक्षा 11 गणित अध्याय 4 Complex Numbers और Quadratic Equations की Exercise 4.1 को step-by-step हल किया गया है।
यहाँ आप iota (i) की powers, complex numbers की basic form (a + ib), और उनके simplification को bilingual (English + Hindi) रूप में समझ सकते हैं।

🔍 Why You Should Watch This Video:

Covers every NCERT question from Exercise 4.1 in detail.

Builds a strong foundation for the entire chapter.

Perfect for self-study and classroom revision.

Ideal for CBSE & State Board students.

Taught in clear bilingual format for easy learning.

📚 Key Concepts Explained:

i = √–1 and its powers

Algebraic Form of Complex Numbers

Modulus and Conjugate (Basic Intro)

Argand Plane Representation

Simplification of powers of i (mod 4 rule)

🎯 Who Should Watch:

Class 11 NCERT / CBSE Students

State Board Students using NCERT

JEE/NEET Foundation Aspirants

Teachers and Tutors for concept explanation

Students wanting clarity in Complex Numbers Basics

🔗 Related Videos from Samarth Academy Official:

Theory Part 1 – Introduction to Complex Numbers

Theory Part 2 – Modulus and Conjugate

Exercise 4.1 – This Video

Exercise 4.2 – Coming Soon

Miscellaneous Exercise – Upcoming
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💡 Tip for Students:
Always remember the pattern: i¹ = i, i² = –1, i³ = –i, i⁴ = 1.
Use the remainder when dividing power by 4 to simplify large powers of i quickly.

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