document.write( "Question 54051: if modulus of (z-1)is less than 3 then prove that modulus of (iz+3-5i)is less than 8? \n" ); document.write( "
Algebra.Com's Answer #36328 by venugopalramana(3286)\"\" \"About 
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I DONT THINK THAT THE PROBLEM IS CORRECT.PLEASE CHECK
\n" ); document.write( "WE HAVE THE FORMULAE
\n" ); document.write( "CONSIDER Z=-2..LIMITING CASE(ACTUALLY TAKE Z=-1.9999)
\n" ); document.write( "THEN Z-1=-2.999
\n" ); document.write( "|Z-1|<3..IT SATISFIES THE GIVEN CONDITION.
\n" ); document.write( "NOW CHECK
\n" ); document.write( "|IZ+3-5I|=|-2.999I+3-5I|=|3-7.999I|=SQRT(73)>8...SO PLEASE CHECK
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