MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
harendar singh Grade: 12
        

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

7 years ago

Answers : (3)

Jitender Singh
IIT Delhi
askIITians Faculty
158 Points
										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


3 years ago
mycroft holmes
266 Points
										
Testing Latex 
3 years ago
mycroft holmes
266 Points
										
By the way you cannot expand the modulus squared the way you have done. Please revise your answer
3 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details