document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35858>Question 35858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find an equation of the elipse having the given points as foci and the given number as sum of focal radii.<BR>\n" );
document.write( "(-9,0);(9,0);30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21953 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=21953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find an equation of the elipse having the given points as foci and the given number as sum of focal radii.<BR>\n" );
document.write( "(-9,0);(9,0);30<BR>\n" );
document.write( "PLEASE NOTE THAT SUM OF FOCAL RADII=LENGTH OF MAJOR AXIS =2A =30....HENCE A=15<BR>\n" );
document.write( "SEE THE FOLLOWING AND TRY.IF STILL IN DIFFICULTY<BR>\n" );
document.write( "PLEASE COME BACK<BR>\n" );
document.write( "---------------------------------------------------------------------------<BR>\n" );
document.write( "Linear_Algebra/30362: Question: Find the equation of<BR>\n" );
document.write( "the ellipse whose center is (5,-3) that has a vertex<BR>\n" );
document.write( "at 13,-3) and a minor axis of lenght 10.<BR>\n" );
document.write( "POssible Answers:<BR>\n" );
document.write( "(A) (x-5)^2/64 + (y+3)^2/25 = 1<BR>\n" );
document.write( "(B) (x+5)^2/64 + (y-3)^2/25 = 1<BR>\n" );
document.write( "(C) x^2/64 + y^2/25 = 1<BR>\n" );
document.write( "(D) none of these<BR>\n" );
document.write( "1 solutions<BR>\n" );
document.write( "Answer 17014 by venugopalramana(1167) About Me on<BR>\n" );
document.write( "2006-03-15 11:21:03 (Show Source):<BR>\n" );
document.write( "SEE THE FOLLOWING AND TRY..IF STILL IN DIFFICULTY<BR>\n" );
document.write( "PLEASE COME BACK...<BR>\n" );
document.write( "OK I WORKED IT OUT FOR YOU NOW<BR>\n" );
document.write( "I TOLD YOU EQN IS<BR>\n" );
document.write( "(X-H)^2/A^2 + (Y-K)^2/B^2 =1<BR>\n" );
document.write( "WHERE H,K IS CENTRE...SO H=5 AND K=-3 AS CENTRE IS<BR>\n" );
document.write( "GIVEN AS (5,-3)....NOW VERTEX IS (13,-3)...IT LIES ON<BR>\n" );
document.write( "ELLIPSE..SO IT SATISFIES THE EQN<BR>\n" );
document.write( "(13-5)^2/A^2 +(-3+3)^2/B^2 =1<BR>\n" );
document.write( "HENCE A^2=64...OR A=8<BR>\n" );
document.write( "MINOR AXIS =10=2B...HENCE B=5..SO EQN.S<BR>\n" );
document.write( "(X-H)^2/64 + (Y+3)^2/25 =1<BR>\n" );
document.write( "THAT IS A IS CORRECT.\r<BR>\n" );
document.write( "\n" );
document.write( "Can you help me write an equation for an ellipse with<BR>\n" );
document.write( "a major axis with endpoints of (0,8), and (0,-8) with<BR>\n" );
document.write( "foci of (0,5) and (0,-5)?<BR>\n" );
document.write( "1 solutions<BR>\n" );
document.write( "--------------------------------------------------------------------------------<BR>\n" );
document.write( "Answer 16810 by venugopalramana(1120) on 2006-03-13<BR>\n" );
document.write( "11:19:12 (Show Source):<BR>\n" );
document.write( "Can you help me write an equation for an ellipse with<BR>\n" );
document.write( "a major axis with endpoints of (0,8), and (0,-8) with<BR>\n" );
document.write( "foci of (0,5) and (0,-5)?<BR>\n" );
document.write( "THIS SHOWS THAT X AXIS IS THE MAJOR AXIS<BR>\n" );
document.write( "STANDARD EQN.OF ELLIPSE IS<BR>\n" );
document.write( "(X-H)^2/A^2 +(Y-K)^2/B^2=1<BR>\n" );
document.write( "CENTRE IS (H,K)..AS PER THE PROBLEM H=K=0 AS CENTRE OF<BR>\n" );
document.write( "ELLIPSE IS AT (0,0)..SINCE major axis with endpoints<BR>\n" );
document.write( "ARE (0,8), and (0,-8)<BR>\n" );
document.write( "WHERE MAJOR AXIS =2A=8+8=16...SO A=8..SINCE major axis<BR>\n" );
document.write( "with endpoints ARE (0,8), and (0,-8)<BR>\n" );
document.write( "FOCI ARE GIVEN BY<BR>\n" );
document.write( "AE,0 AND -AE,0...SO AE =5...SO E=5/A=5/8<BR>\n" );
document.write( "BUT E=SQRT{(A^2-B^2)/A^2}=5/8...SQUARING<BR>\n" );
document.write( "25/64=(A^2-B^2)/A^2=1-B^2/A^2<BR>\n" );
document.write( "B^2/64=1-25/64=49/64<BR>\n" );
document.write( "B^2=49<BR>\n" );
document.write( "B=7<BR>\n" );
document.write( "HENCE EQN. OF ELLIPSE IS<BR>\n" );
document.write( "X^2/64 + Y^2/49 = 1\r<BR>\n" );
document.write( "\n" );
document.write( "Quadratic-relations-and-conic-sections/30009: Can you<BR>\n" );
document.write( "help me write an equation for an ellipse with a major<BR>\n" );
document.write( "axis with endpoints of (0,8), and (0,-8) with foci of<BR>\n" );
document.write( "(0,5) and (0,-5)?\r<BR>\n" );
document.write( "\n" );
document.write( "1 solutions<BR>\n" );
document.write( "Answer 16810 by venugopalramana(1167) About Me on<BR>\n" );
document.write( "2006-03-13 11:19:12 (Show Source):<BR>\n" );
document.write( "Can you help me write an equation for an ellipse with<BR>\n" );
document.write( "a major axis with endpoints of (0,8), and (0,-8) with<BR>\n" );
document.write( "foci of (0,5) and (0,-5)?<BR>\n" );
document.write( "THIS SHOWS THAT X AXIS IS THE MAJOR AXIS<BR>\n" );
document.write( "STANDARD EQN.OF ELLIPSE IS<BR>\n" );
document.write( "(X-H)^2/A^2 +(Y-K)^2/B^2=1<BR>\n" );
document.write( "CENTRE IS (H,K)..AS PER THE PROBLEM H=K=0 AS CENTRE OF<BR>\n" );
document.write( "ELLIPSE IS AT (0,0)..SINCE major axis with endpoints<BR>\n" );
document.write( "ARE (0,8), and (0,-8)<BR>\n" );
document.write( "WHERE MAJOR AXIS =2A=8+8=16...SO A=8..SINCE major axis<BR>\n" );
document.write( "with endpoints ARE (0,8), and (0,-8)<BR>\n" );
document.write( "FOCI ARE GIVEN BY<BR>\n" );
document.write( "AE,0 AND -AE,0...SO AE =5...SO E=5/A=5/8<BR>\n" );
document.write( "BUT E=SQRT{(A^2-B^2)/A^2}=5/8...SQUARING<BR>\n" );
document.write( "25/64=(A^2-B^2)/A^2=1-B^2/A^2<BR>\n" );
document.write( "B^2/64=1-25/64=49/64<BR>\n" );
document.write( "B^2=49<BR>\n" );
document.write( "B=7<BR>\n" );
document.write( "HENCE EQN. OF ELLIPSE IS<BR>\n" );
document.write( "X^2/64 + Y^2/49 = 1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );