document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=528160>Question 528160</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I was wonder how to solve the problem for an ellipse if the endpoints of the major axis are at (1,6) and (1,-6) and the endpoints of the minor axis are at (5,0) and (-3,0). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349160 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The center of your ellipse is obviously at (1,0), and the axes are vertical and horizontal, so it should be easy.<BR>\n" );
document.write( "A circle centered at (1,0) and passing through (1,6) and (1,-6) would have a radius of 6, and the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2By%5E2=6%5E2 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2By%5E2=6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F6%5E2%2By%5E2%2F6%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F6%5E2%2By%5E2%2F6%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "A circle centered at (1,0) and passing through (-3,0) and (5,0) would have a radius of 4, and the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2By%5E2=4%5E2 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2By%5E2=4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F4%5E2%2By%5E2%2F4%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F4%5E2%2By%5E2%2F4%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The ellipse centered at (1,0) and passing through (1,6), (1,-6), (-3,0) and (5,0) would have the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2%2F4%5E2%2By%5E2%2F6%5E2=1 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2%2F4%5E2%2By%5E2%2F6%5E2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In my mind it's just a deformed circle. To check that you got the right equation, substitute the cooordinates of the center one at a time. Substituting x=1 gives you the end points of the major axis. Substituting y=0, gives you the endpoints of the minor axis.<BR>\n" );
document.write( "I do not remember what name the 4 and 6 are called, but they usually are represented with the letters a and b, and each one is half the length of one of the axes of the ellipse.<BR>\n" );
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