document.write( "Question 981555: Please could you help explain how to answer this question.
\n" ); document.write( "I can understand part i but not part ii.\r
\n" ); document.write( "\n" ); document.write( "i) On an Argand diagram show the region R for which |z-5+4i| ≤ 3
\n" ); document.write( "For this part |z-(5-4i)| ≤ 3 and the point is 5-4i on an argand diagram and z has a radius of 3 which is a shaded in circle. Textbook answer shows this is correct.\r
\n" ); document.write( "\n" ); document.write( "ii) Find the greatest and least values of |z+3-2i| in the region R.
\n" ); document.write( "This is the part I don't understand.
\n" ); document.write( "I tried|z-(-3+2i)|and then trying to find the modulus which is the square root of 13. \r
\n" ); document.write( "\n" ); document.write( "The answer given in the book is 7,13 although I can't figure out how to get there. \r
\n" ); document.write( "\n" ); document.write( "Any help given would be fantastic. \r
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Algebra.Com's Answer #602616 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We draw two circles |z+3-2i|=r, one with the shortest possible\r\n" );
document.write( "radius r that puts the circle in the region R, and the other\r\n" );
document.write( "with the longest possible radius which puts the circle in\r\n" );
document.write( "the region R.  They will be tangent to the disk with is Region\r\n" );
document.write( "R.  Then all we have to do is calculate those two radii.  If \r\n" );
document.write( "your book answers are correct those two radii should be 7 and 13.\r\n" );
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document.write( "So just find the distance between the centers of the two\r\n" );
document.write( "circles, -3+2i and 5-3i, which will be 10, then subtract the\r\n" );
document.write( "radius 3 to get the minimum 7 and add it to get the maximum 13.\r\n" );
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document.write( "If you have any questions, ask them in the thank-you note\r\n" );
document.write( "form below.\r\n" );
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document.write( "Edwin
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