document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=190691>Question 190691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> determine whether the following equations represent a parabola, circle, ellipse or hyperbola\r<BR>\n" );
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document.write( "4x^2 + 6y^2 - 4x - 9y + 12 = 0<BR>\n" );
document.write( "3x^2 + 2x - 5y + 12 = 0 <BR>\n" );
document.write( "4x^2 + 4y^2 -4x + 9y + 1 = 0 <BR>\n" );
document.write( "9x^2 + 12 y^2 + 4x + 4y + 4 = 0 <BR>\n" );
document.write( "5x^2 - 2y^2 + 2x - 6y - 6 = 0 \r<BR>\n" );
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document.write( "How do I determine this? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143170 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> determine whether the following equations represent a parabola, circle, ellipse or hyperbola <BR>\n" );
document.write( "4x^2 + 6y^2 - 4x - 9y + 12 = 0<BR>\n" );
document.write( "A theoretical ellipse.  It has x^2 and y^2 terms added with differing coefficients.  However, the axes are less than zero. If the last term is -12, then it's an ellipse.<BR>\n" );
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document.write( "3x^2 + 2x - 5y + 12 = 0 <BR>\n" );
document.write( "A parabola.  Only x is 2nd degree.<BR>\n" );
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document.write( "4x^2 + 4y^2 -4x + 9y + 1 = 0 <BR>\n" );
document.write( "A circle.  x^2 and y^2 with coefficient 4.<BR>\n" );
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document.write( "9x^2 + 12 y^2 + 4x + 4y + 4 = 0 <BR>\n" );
document.write( "A theoretical ellipse.  It has x^2 and y^2 terms added with differing coefficients.  However, the axes are less than zero. If the last term is -4, then it's an ellipse.<BR>\n" );
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document.write( "5x^2 - 2y^2 + 2x - 6y - 6 = 0<BR>\n" );
document.write( "A hyperbola.  The x^2 and y^2 terms have different signs.<BR>\n" );
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document.write( "How do I determine this?<BR>\n" );
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