document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792247>Question 792247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (a) Given two equations of conic sections as follows,<BR>\n" );
document.write( "    (x-1)(x+5)+(y+1)(y+5)=3,<BR>\n" );
document.write( "    (x+1)(x-5)+8(y-5)=-17.<BR>\n" );
document.write( "    <BR>\n" );
document.write( "   (i) Find the vertex, focus and directrix of the parabola<BR>\n" );
document.write( "   (ii)Find the center and radius of the circle.\r<BR>\n" );
document.write( "\n" );
document.write( "(b) Find the shortest distance from the (-2,3) to the line 4x=3y + 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #479889 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=479889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given two equations of conic sections as follows,<BR>\n" );
document.write( "(x-1)(x+5)+(y+1)(y+5)=3<BR>\n" );
document.write( "x^2+4x-5 + y^2 + 6y +5 = 3<BR>\n" );
document.write( "x^2+4x + ? + y^2+6y + ?? = 3<BR>\n" );
document.write( "x^2+4x+4 + y^2+6y+9 = 3+4+9<BR>\n" );
document.write( "(x+2)^2 + (y+3)^2 = 16<BR>\n" );
document.write( "center is (-2,-3)<BR>\n" );
document.write( "radius is 4<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(x+1)(x-5)+8(y-5)=-17<BR>\n" );
document.write( "x^2 -4x -5 + 8(y-5) = -17<BR>\n" );
document.write( "x^2-4x+4 -5 +8(y-5) = -17 + 4<BR>\n" );
document.write( "(x-2)^2 +8(y-5) = -8<BR>\n" );
document.write( "(x-2)^2 = -8[(y-5)+1]<BR>\n" );
document.write( "(x-2)^2 = -8(y-4)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "p = -2<BR>\n" );
document.write( "vertex:: (2,4)<BR>\n" );
document.write( "focus: (2,2)<BR>\n" );
document.write( "directrix: y = 6<BR>\n" );
document.write( "========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========================\r<BR>\n" );
document.write( "\n" );
document.write( "(i) Find the vertex, focus and directrix of the parabola<BR>\n" );
document.write( "(ii)Find the center and radius of the circle. <BR>\n" );
document.write( "(b) Find the shortest distance from the (-2,3) to the line 4x=3y + 2.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );