document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54051>Question 54051</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if modulus of (z-1)is less than 3 then prove that modulus of (iz+3-5i)is less than 8? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763913 by </B><A HREF=/tutors/aboutme.mpl?userid=srimankumar45><B>srimankumar45(2)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srimankumar45><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=srimankumar45><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> |z-1|<3\r<BR>\n" );
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document.write( "|iz+3-5i|=|i||iz+3-5i|=|-z+3i+5|\r<BR>\n" );
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document.write( "                     =|(4+3i)-(z-1)|<BR>\n" );
document.write( "Now<BR>\n" );
document.write( "   |(4+3i)-(z-1)|<||4+3i|+|z-1||<BR>\n" );
document.write( "  <BR>\n" );
document.write( "   |iz+3-5i|<|5+3|\r<BR>\n" );
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document.write( "             <8. \r<BR>\n" );
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document.write( "                 Proved by sriman kumar </SPAN>\n" );
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