document.write( "Question 1205500: If let z= x+ iy , |z|= 8 then value of |(conj(z)+48)/(3z + 4)|=.....
\n" ); document.write( " ( 2 , 4 , 8 , 16 ) \n" ); document.write( "
Algebra.Com's Answer #842359 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "z*conj(z) = |z|^2
\n" ); document.write( "z*conj(z) = 8^2
\n" ); document.write( "z*conj(z) = 64
\n" ); document.write( "conj(z) = 64/z\r
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\n" ); document.write( "\n" ); document.write( "Apply substitution and simplify.
\n" ); document.write( "(conj(z) + 48)/(3z+4)
\n" ); document.write( "= (64/z + 48)/(3z+4)
\n" ); document.write( "= (64 + 48z)/(z(3z+4)) ... multiply top and bottom by z
\n" ); document.write( "= (16(3z+4))/(z(3z+4))
\n" ); document.write( "= 16/z
\n" ); document.write( "We have something much more simple to work with.\r
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\n" ); document.write( "\n" ); document.write( "Which means,
\n" ); document.write( "| (conj(z) + 48)/(3z+4) |
\n" ); document.write( "= | 16/z |
\n" ); document.write( "= |16| / |z|
\n" ); document.write( "= 16/8
\n" ); document.write( "= 2\r
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\n" ); document.write( "\n" ); document.write( "Therefore, | (conj(z) + 48)/(3z+4) | = 2 when |z| = 8
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