document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28101>Question 28101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the equation for the ellipse, the foci are at (12,0) and (-12,0). The endpoints of the minor axis are at (0,5)and (0,-5)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15328 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the equation for the ellipse, the foci are at (12,0) and (-12,0). The endpoints of the minor axis are at (0,5)and (0,-5)?<BR>\n" );
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document.write( "STANDARD EQN.OF ELLIPSE IS <BR>\n" );
document.write( "(X-H)^2/A^2 + (Y-K)^2/B^2 = 1 ,FOR A>B, WHOSE FOCI ARE (H+A*E,K)AND (H-A*E,K)WHERE <BR>\n" );
document.write( "E=SQRT{(A^2-B^2)/A^2} AND MINOR AXIS IS ALONG X=H<BR>\n" );
document.write( "AND LENGTH OF MAJOR AXIS =2A AND LENGTH OF MINOR AXIS =2B \r<BR>\n" );
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document.write( "WE FIND X COORDINATES OF END POINTS OF MINOR AXIS ARE 0.HENCE MINOR AXIS IS Y AXIS.<BR>\n" );
document.write( "FURTHER WE FIND Y COORDINATES OF FOCI ARE 0...HENCE MAJOR AXIS IS X AXIS<BR>\n" );
document.write( "HENCE A>B<BR>\n" );
document.write( "HENCE CENTRE IS (0,0).SO H=K=0<BR>\n" );
document.write( "LENGTH OF MINOR AXIS = 5+5 = 10 = 2B...OR B=5<BR>\n" );
document.write( "SO NOW WE NEED TO FIND ONLY A TO GET THE EQN.OF ELLIPSE.<BR>\n" );
document.write( "WE GOT FOCI AS (12,0)=(0+A*E,0)<BR>\n" );
document.write( "AE=12....OR E=12/A<BR>\n" );
document.write( "BUT<BR>\n" );
document.write( "E=SQRT{(A^2-B^2)/A^2} =12/A...SQUARING...<BR>\n" );
document.write( "144/A^2=(A^2-B^2)/A^2<BR>\n" );
document.write( "A^2-B^2=144<BR>\n" );
document.write( "A^2=144+5^2=144+25=169<BR>\n" );
document.write( "A=13<BR>\n" );
document.write( "HENCE EQN. OF ELLIPSE IS <BR>\n" );
document.write( "X^2/169 + Y^2/25 = 1\r<BR>\n" );
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