document.write( "Question 1087976: Find the standard form of the equation of the ellipse with foci at (0,0) and (4,0), and has a major axis of length 6. \n" ); document.write( "

Algebra.Com's Answer #702269 by ikleyn(52807) $\"\"$ $\"About$

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document.write( "From the condition:\r\n" );
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document.write( "The major axis (connecting foci) is the horizontal line y = 0, coinciding with x-axis.\r\n" );
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document.write( "The center of the ellipse is the midpoint between the foci, i.e. (2,0).\r\n" );
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document.write( "The focal distance is 2c = 4 - 0 = 4;  Hence, the distance from the center to each focus is c =  = 2.\r\n" );
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document.write( "Since the major axis length is 6, the major seni-axis is  = 3.\r\n" );
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document.write( "Then the minor semi-axis is   =  =  = 5.\r\n" );
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document.write( "Thus the standard form of the ellipse equation is\r\n" );
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document.write( " +  = 1.\r\n" );
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\n" ); document.write( "\n" ); document.write( "See the lessons\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( "    - Standard equation of an ellipse\r
\n" ); document.write( "\n" ); document.write( "    - Identify elements of an ellipse given by its standard equation\r
\n" ); document.write( "\n" ); document.write( "    - Find the standard equation of an ellipse given by its 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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