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    Complex Numbers: Finding the least value of |z-w|

    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...
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    Complex Numbers: Finding the least value of |z-w|

    Thanks!! Although i would like to find a simpler way to do it as well.
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    Complex Numbers: Finding the least value of |z-w|

    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...
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    Complex Numbers: Finding the least value of |z-w|

    Do u mean it will be |3+2i - ( 7+5i)|?? but that gives the answer 5 while it is 2 in the book
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    Complex Numbers: Finding the least value of |z-w|

    Could you kindly explain this a little bit: I first get |z| by using |z|<= 2+|3+2i| and then put z= 2+|3+2i| in the formula for |z| that u have given?
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    Complex Numbers: Finding the least value of |z-w|

    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...
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