Ok by drawing a picture the shortest distance between Z and W is coming out too be\sqrt{}74-\sqrt{}13-3=1.9996
I did this by calculating W by \sqrt{}74- 1 and Z by \sqrt{}13 + 2, then subtracted the distance W from Z to get its smallest value.
I would be greatly obliged if someone can...
hmm..I get this part. You are saying that Z and W lie on the circumference of the circle with center 3,2 and radius 2 and center 7,5 with radius 1 right?
I cannot get beyond this point. The question is asking for the minimum value of |z-w| so this means that both Z and W should be at maximum...
Homework Statement
The complex numbers, z and w satisfy the inequalities |z-3-2i|<=2 and |w-7-5i|<=1
Find the least possible value of |z-w|
Homework Equations
No clue at all.
The Attempt at a Solution
Since its |z-w| i figured that the least possible value will only be...