Algebra.Com's Answer #696428 by ikleyn(52800)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Find the locus of points P(x,y) such that the distance from P to (3,0) is twice its distance to (1,0).
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document.write( "Let (x,y) be the point of this locus.\r\n" );
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document.write( "Then \r\n" );
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document.write( " =  . (1)\r\n" );
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document.write( "The left side is the distance from (x,y) to the point (3,0).\r\n" );
document.write( "The right side is the doubled distance from (x,y) to the point (1,0).\r\n" );
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document.write( "Now square both sides of (1). You will get\r\n" );
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document.write( " =  .\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( " =  ,\r\n" );
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document.write( " =  ,\r\n" );
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document.write( " =  ,\r\n" );
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document.write( " =  ,\r\n" );
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document.write( " =  ,\r\n" );
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document.write( " =  .\r\n" );
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document.write( "It is the equation of the circle of the radius  with the center at the point ( , ).\r\n" );
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document.write( "Answer. The locus under the question is the circle of the radius with the center at the point (,).\r
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document.write( "Circle = \r
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