0

Guest

Courses New

If (z 1 -2z 2 /2-z 1 z 2 ) is unimodulus and z 2 is not unimodulus then find | z 1 |?

If (z1 -2z2  /2-z1 z2 ) is unimodulus and  z2  is not unimodulus then find | z1 |?

Grade:12

3 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
10 years ago
Ans:
Hello Student,
Please find answer to your question below

Given:
|\frac{z_{1}-2z_{2}}{1-2z_{1}z_{2}}| = 1
|z_{1}-2z_{2}| =|1-2z_{1}z_{2}|
|z_{1}-2z_{2}|^{2} =|1-2z_{1}z_{2}|^{2}
|z_{1}|^{2}+4|z_{2}|^{2}-4|z_{1}||z_{2}| = 1 + 4|z_{1}|^{2}|z_{2}|^{2} - 4|z_{1}||z_{2}|
|z_{1}|^{2}+4|z_{2}|^{2} = 1 + 4|z_{1}|^{2}|z_{2}|^{2}
|z_{1}|^{2}(1-4|z_{2}|^{2}) = 1-4|z_{2}|^{2}
|z_{1}|^{2} = 1
|z_{1}| = 1

mycroft holmes
272 Points
10 years ago
Testing Latex 
mycroft holmes
272 Points
10 years ago
By the way you cannot expand the modulus squared the way you have done. Please revise your answer

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More