document.write( "Question 1184304: The points representing the complex number z for which the arg $\"+%28z+-+2%29%2F%28z+%2B+2%29+=+pi%2F3+\"$ lie on which of the following:
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Algebra.Com's Answer #814877 by ikleyn(52794) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "In this problem we have two selected points in the complex plane: A = (-2,0) \r\n" );
document.write( "and B = (2,0).\r\n" );
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document.write( "The complex number z-2 represents a vector connecting point z with the point (2,0).\r\n" );
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document.write( "The complex number z+2 represents a vector connecting point z with the point (-2,0).\r\n" );
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document.write( "Since   =   (given), it means that the angle between the vectors  (z-2)  and  (z+2)  is  .\r\n" );
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document.write( "It means that the point z lies on the arc of a circle and the vectors (z-2) and (z+2)  form an inscribed angle  \r\n" );
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document.write( "of the measure of   = 60 degrees, which leans on the segment AB as on the chord.\r\n" );
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document.write( "The locus is shown in the Figure below in red line.\r\n" );
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document.write( "    The parts of the circles shown in black are not the parts of the locus.\r\n" );
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