document.write( "Question 1033011: Find an equation of the ellipse that satisfies the given conditions:\r
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Algebra.Com's Answer #647685 by ikleyn(52800) $\"\"$ $\"About$

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\n" ); document.write( "Find an equation of the ellipse that satisfies the given conditions:\r
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document.write( "I assume that you are familiar with the material of the lesson  Ellipse definition, canonical equation, characteristic points and elements \r\n" );
document.write( "in this site. Surely, you may learn it from other sources. But if you are not familiar with it, I recommend you to read this lesson.\r\n" );
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document.write( "Notice that the center (3,0) and the focus (3,4) of our ellipse lie in one vertical line, and the distance \r\n" );
document.write( "between the center and the focus is 4 units. This distance is half of the ellipse's focal distance. \r\n" );
document.write( "Its standard notation is \"c\" and the standard name is \"linear eccentricity\".\r\n" );
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document.write( "So, we have the minor semi-axis b = 4 and the linear eccentricity c = 4.\r\n" );
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document.write( "Then the major semi-axis a =  =  = .\r\n" );
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document.write( "Since the ellipse's foci lie in the vertical line, semi-major axis \"a\" relates to the vertical coordinate \"y\", \r\n" );
document.write( "while the semi-minor axis \"b\" relates to the horizontal coordinate \"x\".\r\n" );
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document.write( "Thus the standard equation of our ellipse is \r\n" );
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document.write( " +  = 1,   or    +  = 1.\r\n" );
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