document.write( "Question 1082536: In ellipse situation, find the equation of the locus of a point which moves so that the summation of its distance from (-2,2) and (1,2) is 5. \n" ); document.write( "

Algebra.Com's Answer #696602 by ikleyn(52872) $\"\"$ $\"About$

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document.write( "The figure is an ellipse     (\"the locus of a point which moves so that the summation of its distance from two given points is constant\").\r\n" );
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document.write( "The major axis is the line y = 2 parallel to x-axis.\r\n" );
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document.write( "The major semi-axis length is half of that distance of 5 units, i.e. a= 2.5 units.\r\n" );
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document.write( "The distance between foci is 1 - (-2) = 3.\r\n" );
document.write( "So, the linear eccentricity is half of that, i.e. c= 1.5.\r\n" );
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document.write( "Find the minor semi-axis length \"b\" from the equation  = :\r\n" );
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document.write( "b =  = 2.\r\n" );
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document.write( "Now the equation of the ellipse is \r\n" );
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document.write( " +  = 1.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( " - Ellipse definition, canonical equation, characteristic points and elements\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( " ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic
\n" ); document.write( "\"Conic sections: Ellipses. Definition, major elements and properties. Solved problems\".\r
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