document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=42549>Question 42549</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an equation for an ellipse if the endpoints of the major axis are (-8,1) and (8,1) and the endpoints of the minor axis are at (0,-1) and (0,3).\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #27667 by </B><A HREF=/tutors/aboutme.mpl?userid=psbhowmick><B>psbhowmick(878)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=psbhowmick><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/cgi-bin/show-face.mpl?user=psbhowmick><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=27667\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> As the major axis passes through the points (-8,1) and (8,1) so clearly its equation is y = 1.<BR>\n" );
document.write( "It is a straight line parallel to x-axis and situated 1 unit above it.<BR>\n" );
document.write( "Similarly, x = 0 i.e. y-axis is the minor axis.\r<BR>\n" );
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document.write( "The centre is the point of intersection of major (y = 1) and minor (x = 0) axes and so its coordinates are (0,1).\r<BR>\n" );
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document.write( "Now, length of the major axis is 8 - (-8) = 16 units and that of the minor axis is (3 - (-1)) = 4 units.\r<BR>\n" );
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document.write( "When the major axis is parallel to x-axis, general equation of an ellipse with centre at (h,k) and major and minor axes of lengths '2a' and '2b' respectively is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Here, h = 0, k = 1, 2a = 16, 2b = 4 i.e. a = 8, b = 2.<BR>\n" );
document.write( "So the reqd. equation of the ellipse is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-0%29%5E2%2F8%5E2+%2B+%28y-1%29%5E2%2F2%5E2+=+1 ALIGN=MIDDLE  ALT=\"%28x-0%29%5E2%2F8%5E2+%2B+%28y-1%29%5E2%2F2%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2F64+%2B+%28y-1%29%5E2%2F4+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2F64+%2B+%28y-1%29%5E2%2F4+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+16%28y-1%29%5E2+=+64 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+16%28y-1%29%5E2+=+64\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-15%2C+15%2C+-15%2C+15%2C+%0D%0A+++++++++grid%281%29%2C%0D%0A+++++++++blue%28+ellipse%28+0%2C+1%2C+16%2C+4+%29+%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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