document.write( "Question 1074759: If z1 and z2 are two complex numbers with |z1|=|z2| ,then which of the following are true.
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Algebra.Com's Answer #689420 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "None of those choices are correct.  Here is a counter-example:\r\n" );
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document.write( "\"z%5B1%5D+=+39%2B52i\",  \"z%5B2%5D+=+25%2B60i\"\r\n" );
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document.write( "\"abs%28z%5B1%5D%29+=+sqrt%2839%5E2%2B52%5E2%29\",  \"abs%28z%5B2%5D%29+=+sqrt%2825%5E2%2B60%5E2%29\"\r\n" );
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document.write( "\"abs%28z%5B1%5D%29+=+sqrt%281521%2B2704%29\",  \"abs%28z%5B2%5D%29+=+sqrt%28625%2B3600%29\"\r\n" );
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document.write( "\"abs%28z%5B1%5D%29+=+sqrt%284225%29\",  \"abs%28z%5B2%5D%29+=+sqrt%284225%29\"\r\n" );
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document.write( "\"abs%28z%5B1%5D%29+=+65\",  \"abs%28z%5B2%5D%29+=+65\"\r\n" );
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document.write( "So  \r\n" );
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document.write( "\"abs%28z%5B1%5D%29+=+abs%28z%5B2%5D%29\" is true.\r\n" );
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document.write( "However, they are not equal, their real parts are not equal,\r\n" );
document.write( "and their imaginary parts are not equal.  So none of those\r\n" );
document.write( "choices are true.  Be sure to point this out to your\r\n" );
document.write( "teacher.\r\n" );
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document.write( "Edwin
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