JEE Complex Numbers PYQ If |z| = 1, Find Re[(z − 1)/(z + 1)]
Автор: GradeGrowth Maths
Загружено: 2026-02-14
Просмотров: 5
Описание:
In this video, we solve an important complex numbers problem from **JEE 2003**:
👉 If |z| = 1 and
[
w = \frac{z - 1}{z + 1}, \quad (z \neq 1)
]
find the value of **Re(w)**.
This question beautifully uses the *unit circle property* and conjugate manipulation in complex numbers. A must-know concept for **JEE Main & Advanced aspirants**.
🔹 Topics Covered:
Modulus of a complex number
Unit circle property (|z| = 1 ⇒ z̅ = 1/z)
Rationalization using conjugates
Finding real part of complex expressions
📚 Perfect for:
JEE Main
JEE Advanced
NDA
Engineering entrance exams
If you found this helpful, like 👍, share 🔁, and subscribe for more math problem-solving videos!
#ComplexNumbers #JEE2023 #JEEMaths #IITJEE #MathsTricks
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