Complex number

z has property that |z-5i|=1

find z1 with the property that |z-z1| is maximum

Pls also if u can explain little bit..

6 Answers

62
Lokesh Verma ·

i guess most people do not understand graphs....

It is so essential and useful a lot of times...

u can intermingle complex numbers, trigonometry and coordinate, vectors so easily ... u just need to try to do that...

............................

what is z it is a circle... at (0,5) of radius 1....

now u should try this by coordinate?!! u will love the solutions once u start soving with graphs....

Just try...

62
Lokesh Verma ·

btw i think the problem is incomplete.. pls check!

1
chetan wahi ·

yes.. given that z1 is such that |z1-5|=1

sorry i missed that part

62
Lokesh Verma ·

I would still say the same thing...

try the same thing for both the circles...

and try the fact that there are 2 circles... and u need to find the least distance from one point to another...

just give it a shot..

3
Abhishek Majumdar ·

is the answer 5√2+2 ??

3
Abhishek Majumdar ·

did it using geometry.....as nishant sir had been xplaining :)

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