document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894112>Question 894112</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the hyperbola which satisfies the given condition center (0,0) conjugate axis along x-axis, one focus at (0,sqrt(13) , equation of one directrix is y = 9sqrt(13)/13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542117 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=542117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the hyperbola which satisfies the given condition center (0,0) conjugate axis along x-axis, one focus at (0,sqrt(13) , equation of one directrix is y = 9sqrt(13)/13<BR>\n" );
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document.write( "Given hyperbola has a vertical transverse axis and center at the origin<BR>\n" );
document.write( "Its standard form of equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1 ALIGN=MIDDLE  ALT=\"y%5E2%2Fa%5E2-x%5E2%2Fb%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "y=a/e=a/(c/a)=a^2/c<BR>\n" );
document.write( "a^2=c*y=&#8730;13*9&#8730;13/13=9<BR>\n" );
document.write( "c=&#8730;13<BR>\n" );
document.write( "c^2=13<BR>\n" );
document.write( "c^2=a^2+b^2<BR>\n" );
document.write( "b^2=c^2-a^2=13-9=4<BR>\n" );
document.write( "equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2%2F9-x%5E2%2F4=1 ALIGN=MIDDLE  ALT=\"y%5E2%2F9-x%5E2%2F4=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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