document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=558656>Question 558656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the ellipse with foci (0, 3), (0, -3) and co-vertices (1, 0), (-1, 0)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363326 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=363326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the equation of the ellipse with foci (0, 3), (0, -3) and co-vertices (1, 0), (-1, 0)?<BR>\n" );
document.write( "Given data shows this is an ellipse with vertical major axis of the standard form:<BR>\n" );
document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) being the (x,y) coordinates of the center.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given ellipse:\r<BR>\n" );
document.write( "\n" );
document.write( "center: (0,0)<BR>\n" );
document.write( "c=3 (from foci)<BR>\n" );
document.write( "c^2=9<BR>\n" );
document.write( "b=1 (from co-vertices)<BR>\n" );
document.write( "b^2=1<BR>\n" );
document.write( "c^2=a^2-b^2<BR>\n" );
document.write( "a^2=c^2+b^2=9+1=10<BR>\n" );
document.write( "a=&#8730;10&#8776;3.16<BR>\n" );
document.write( "Equation of given ellipse:<BR>\n" );
document.write( "x^2/1+y^2/10=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );