document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1015227>Question 1015227</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%5E2+-+16y+-+x%5E2+%2B36+=+0 ALIGN=MIDDLE  ALT=\"3y%5E2+-+16y+-+x%5E2+%2B36+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the conic section is a hyperbola; a circle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #631592 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=631592\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%5E2+%2BBxy+%2BCy%5E2+%2B+Dx+%2B+Ey+%2BF+=+0 ALIGN=MIDDLE  ALT=\"Ax%5E2+%2BBxy+%2BCy%5E2+%2B+Dx+%2B+Ey+%2BF+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > be the general form of the equation of a conic section in cartesian coordinates.  <BR>\n" );
document.write( "Then \r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+-+4AC+%3E+0 ALIGN=MIDDLE  ALT=\"B%5E2+-+4AC+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the conic section is a hyperbola;<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+-+4AC+=0 ALIGN=MIDDLE  ALT=\"B%5E2+-+4AC+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the conic section is a parabola;<BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+-+4AC+%3C+0 ALIGN=MIDDLE  ALT=\"B%5E2+-+4AC+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the conic section is a ellipse.<BR>\n" );
document.write( "The given equation equation can be rewritten as<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-3y%5E2+%2B16y-36+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-3y%5E2+%2B16y-36+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > in general form\r<BR>\n" );
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document.write( "Since for the given equation  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B%5E2+-+4AC+=+0+-+4%281%29%28-3%29+=+12%3E0 ALIGN=MIDDLE  ALT=\"B%5E2+-+4AC+=+0+-+4%281%29%28-3%29+=+12%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the conic section is a hyperbola.  The equation does NOT represent a circle.\r<BR>\n" );
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