document.write( "Question 1033012: Find an equation of the set of points in a plane such that the sum of distances between each point of the set and the points (1,0) and (-1,0) is 8 units \n" ); document.write( "

Algebra.Com's Answer #647613 by ikleyn(52788) $\"\"$ $\"About$

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\n" ); document.write( "Find an equation of the set of points in a plane such that the sum of distances between each point
\n" ); document.write( "of the set and the points (1,0) and (-1,0) is 8 units.
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document.write( "It is an ellipse, and it is its characteristic property.\r\n" );
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document.write( "Read about it in the lesson Ellipse focal property in this site.\r\n" );
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document.write( "The foci of this ellipse are the points (1,0) and (-1,0). \r\n" );
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document.write( "The major semi-axes of the ellipse a =  = 4 is half of the sum of these distances. \r\n" );
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document.write( "The minor semi-axes b =  =  = , according to that lesson.\r\n" );
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document.write( "So, the ellipse canonical equation is \r\n" );
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document.write( " = ,   or\r\n" );
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document.write( " = .\r\n" );
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