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Mastering Complex Numbers | Essential Guide for Grade 11 Students in Bangalore

Learn Complex Numbers with our expert online tutors from Education Jaankari, specially designed for Grade 11 students in Bangalore studying under CBSE, ICSE, IB, IGCSE, and Karnataka PUC boards.

Why Watch This Video?
Understanding Complex Numbers is crucial for excelling in Mathematics. Our tutors simplify complex concepts into easy-to-understand lessons, ensuring you master this topic for your exams. Whether you're preparing for board exams or looking to enhance your math skills, this video is your comprehensive resource!

📚 Topics Covered:
Introduction to Complex Numbers

What are complex numbers? Learn how to express them (
𝑧
=
𝑎
+
𝑖
𝑏
z=a+ib).
Algebra of Complex Numbers

Addition, subtraction, multiplication, and division explained with examples.
Modulus and Conjugate

Calculating the modulus (

𝑧

∣z∣) and conjugate (
𝑧
ˉ
z
ˉ
).
Polar Form of Complex Numbers

Expressing complex numbers in polar form for advanced understanding.
De Moivre's Theorem

Using De Moivre's theorem for calculating powers and roots.
Roots of Complex Numbers

Finding
𝑛
n-th roots and their geometric representation.
Quadratic Equations with Complex Roots

Solving equations with complex solutions.
Geometrical Representation

Visualizing complex numbers on the Argand plane.
💡 Sample Problems:
Simplifying
(
3
+
2
𝑖
)
(
4

5
𝑖
)
(3+2i)(4−5i)
Finding the modulus and argument of
1
+
𝑖
3
1+i
3


Solving the equation
𝑧
2
+
1
=
0
z
2
+1=0
📈 Boost Your Academic Performance!
This video is perfect for Bangalore students looking to excel in Mathematics. Our Education Jaankari tutors offer personalized guidance to ensure your success in Grade 11.

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