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

if arg(z1/z2)=p/2 then find the value of |(z1+z2)/z1-z2)|

if arg(z1/z2)=p/2 then find the value of |(z1+z2)/z1-z2)|

Grade:

2 Answers

jitender lakhanpal
62 Points
7 years ago

|(z1+z2)/z1-z2)| = 1


|(z1+z2)|= |z1|2   + |z1|+  2|z1||z2|cos (θ1 -θ2)

and
|(z1-z2)|= |z1|2   + |z1|2    - 2|z1||z2|cos (θ1 -θ2)

where  θ1 and θ2   are arguments of z1 and z2


θ1 -θ2 = pie/2       so  cos (θ1 -θ2) = 0

so both of them are equal

We are  here to help you in your IIT JEE preparation.

Now you can win by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar : Click here to download the toolbar.. 

 

Thanks and Regards

Jitender

(askIITians expert)

Rishi Sharma
askIITians Faculty 646 Points
11 months ago
Dear Student,
Please find below the solution to your problem.

|(z1+z2)/z1-z2)| = 1
|(z1+z2)|2 = |z1|2 + |z1|2 + 2|z1||z2|cos (θ1 -θ2)
and
|(z1-z2)|2 = |z1|2 + |z1|2 - 2|z1||z2|cos (θ1 -θ2)
where θ1 and θ2 are arguments of z1 and z2
θ1 -θ2 = pie/2 so cos (θ1 -θ2) = 0
so both of them are equal

Thanks and Regards

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