document.write( "Question 1045774: What is the equation of the locus of the point which moves so that its distance from point (2,0) is 2/3 its distance from the line y=5? \n" ); document.write( "
Algebra.Com's Answer #661257 by ikleyn(52908)\"\" \"About 
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\n" ); document.write( "What is the equation of the locus of the point which moves so that its distance from point (2,0) is 2/3 its distance from the line y=5?
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document.write( "\"sqrt%28%28x-2%29%5E2%2By%5E2%29\" = \"%282%2F3%29%2Aabs%28y-5%29\".   <--- This is the basic equation which translates the input into mathematical form.\r\n" );
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document.write( "The left side is the distance from the point (x,y) of the locus to the point (2,0).\r\n" );
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document.write( "The right side is \"2%2F3\" of the distance from the point (x,y) of the locus to the line y=5.\r\n" );
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document.write( "Next you can simplify this equation and reduce it to the standard equation of a certain conic section.\r\n" );
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document.write( "This conic section is an ellipse.\r\n" );
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document.write( "But since the condition do not require me explicitly to do it, I will stop at this point.\r\n" );
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