document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195159>Question 1195159</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	 Find the value(s) of k such that the graph of the equation k(x^2+y^2 )+x^2-y^2+x+y=0 is<BR>\n" );
document.write( "	a parabola<BR>\n" );
document.write( "	an ellipse<BR>\n" );
document.write( "	a hyperbola<BR>\n" );
document.write( "	a pair of intersecting lines<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827579 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> k(x^2+y^2 )+x^2-y^2+x+y=0\r<BR>\n" );
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document.write( "kx^2+ky^2+x^2-y^2+x+y=0\r<BR>\n" );
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document.write( "(k+1)x^2+(k-1)y^2+x+y=0\r<BR>\n" );
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document.write( "Check the expression<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28k%2B1%29%28k-1%29 ALIGN=MIDDLE  ALT=\"-4%28k%2B1%29%28k-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28k%5E2-1%29 ALIGN=MIDDLE  ALT=\"-4%28k%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and work with that.  You can find reference information in your book in some online sources.<BR>\n" );
document.write( "https://www.brainkart.com/article/Conic-Sections_39168/<BR>\n" );
document.write( "https://www.varsitytutors.com/hotmath/hotmath_help/topics/conic-sections-and-standard-forms-of-equations<BR>\n" );
document.write( "http://mathcentral.uregina.ca/QQ/database/QQ.09.06/h/robin2.html\r<BR>\n" );
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document.write( "For intersecting lines,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2B1=-%28k-1%29 ALIGN=MIDDLE  ALT=\"k%2B1=-%28k-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%2B1=-k%2B1 ALIGN=MIDDLE  ALT=\"k%2B1=-k%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2k=0 ALIGN=MIDDLE  ALT=\"2k=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28k=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28k=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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