document.write( "Question 1071454: an ellipse has an equation of ax^2 +by^2 +f = 0 passing through (4,0) and (0,3)\r
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Algebra.Com's Answer #686411 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "This ellipse has the center at (0,0) and has intercepts x = 4 and y = 3.\r\n" );
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document.write( "Hence, its semi-axes are 4 units along the x-axis and 3 units along the y-axis.\r\n" );
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document.write( "It implies that the equation of the ellipse is\r\n" );
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document.write( " = 1.\r\n" );
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document.write( "The linear eccentricity of this ellipse is c =  =  = .\r\n" );
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document.write( "You may find useful the lesson\r\n" );
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document.write( "    - Ellipse definition, canonical equation, characteristic points and elements\r\n" );
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document.write( "in this file.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On ellipses, you have the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Ellipse definition, canonical equation, characteristic points and elements \r
\n" ); document.write( "\n" ); document.write( "    - Ellipse focal property \r
\n" ); document.write( "\n" ); document.write( "    - Tangent lines and normal vectors to a circle \r
\n" ); document.write( "\n" ); document.write( "    - Tangent lines and normal vectors to an ellipse \r
\n" ); document.write( "\n" ); document.write( "    - Optical property of an ellipse \r
\n" ); document.write( "\n" ); document.write( "    - Optical property of an ellipse revisited\r
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\n" ); document.write( "\n" ); document.write( "    - Identify the vertices, co-vertices and foci of the ellipse given by an equation\r
\n" ); document.write( "\n" ); document.write( "    - Find a standard equation of an ellipse given by its elements\r
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