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 all complex numbers Z1,Z2 satisfying mod(Z)=12 and mod(Z2-3-4i)=5,the minimum value of (Z1-Z2) is

for all complex numbers Z1,Z2 satisfying mod(Z)=12 and mod(Z2-3-4i)=5,the minimum value of (Z1-Z2) is

Grade:

1 Answers

Askiitians Expert Gaurav Aggarwal - IIT Delhi
14 Points
11 years ago

Dear sri valli,

We work on the Argand plane.

mod(z1) = 12 represents a circle centred at 0 and radius 12.

mod(z2-3-4i) = 5 represents a circle centred at (3,4) and radius 5.

This circle passes through origin. Distance of diametrically opposite end is 10.

So, the minimum value (z1 - z2) = 2



Please feel free to post as many doubts on our discussion forum as you can. If you find any question
Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We
are all IITians and here to help you in your IIT JEE preparation.


All the best sri valli !!!




Regards,

Askiitians Experts

Gaurav Aggarwal

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