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
Tushar Singh Grade: 11
        

 For complex numbers z and q, prove that |z|2 w – |w|2 z = z – w if and only if z = w or z w = 1. 

7 years ago

Answers : (1)

mycroft holmes
271 Points
										

Rewrite the equation as 


 


If   then the equation trivially holds. If , then taking modulus on both sides, we obtain 


 


.


 


Now we can rewrite the equation as 


 


which yields 

7 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