document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=827611>Question 827611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . A conic has focus at (0, 0) and directrix at x = &#8722;1. The point (4, 3) lies on the<BR>\n" );
document.write( "conic. Hence determine the eccentricity of the conic, and state whether it is an<BR>\n" );
document.write( "ellipse, parabola or hyperbola.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #499152 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=499152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A conic has focus at (0, 0) and directrix at x = &#8722;1. The point (4, 3) lies on the conic. Hence determine the eccentricity of the conic, and state whether it is an ellipse, parabola or hyperbola.<BR>\n" );
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document.write( "focus and directrix shows axis of symmetry: y=0, or x-axis<BR>\n" );
document.write( "directrix of x=-1 shows conic is a parabola that opens right.<BR>\n" );
document.write( "Its basic equation: (y-k)^2=4p(x-h), (h,k)=(x,y) coordinates of vertex<BR>\n" );
document.write( "p=1/2<BR>\n" );
document.write( "4p=2<BR>\n" );
document.write( "vertex:(0,-1/2) Eccentricity does not apply to parabolas.<BR>\n" );
document.write( "Equation of given conic: y^2=2(x+1/2) </SPAN>\n" );
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