Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
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

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.

 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. 

Grade:11

1 Answers

mycroft holmes
272 Points
11 years ago

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 

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free