document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151234>Question 1151234</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.<BR>\n" );
document.write( "Foci: (±5, 0); major axis of length 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772914 by </B><A HREF=/tutors/aboutme.mpl?userid=pavan+sai+reddy><B>pavan sai reddy(3)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=pavan+sai+reddy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=772914\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">           Given that,<BR>\n" );
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document.write( "       ae=5------------1 (where a is the semimajor axis<BR>\n" );
document.write( "                               e  is eccentricity       )\r<BR>\n" );
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document.write( "     and given 2a=12<BR>\n" );
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document.write( "               => a=6--------2<BR>\n" );
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document.write( "     -> put 2 in 1 ,you will get<BR>\n" );
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document.write( "             e=5/6\r<BR>\n" );
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document.write( "       squaring on both sides\r<BR>\n" );
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document.write( "         e^2=25/36             [we know that \r<BR>\n" );
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document.write( "                                    e^2=1-b^2/a^2  where b=semi minoraxies]<BR>\n" );
document.write( "      => 1-b^2/a^2=25/36   \r<BR>\n" );
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document.write( "      =>  1-b^2/36=25/36          (a=6 from 2)\r<BR>\n" );
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document.write( "      =>    36-b^2=25\r<BR>\n" );
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document.write( "      =>  b^2=11--------------3\r<BR>\n" );
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document.write( "we know that the standard equation  of ellipse looks like x^2/a^2+y^2/b^2=1\r<BR>\n" );
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document.write( "         we know a^2=36(from 2) and b^2 =11(from 3)\r<BR>\n" );
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document.write( "now the equation becomes x^2/36+y^2/11=1\r<BR>\n" );
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document.write( "                                        </SPAN>\n" );
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