document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1107302>Question 1107302</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The circle with equation<BR>\n" );
document.write( "x²+y²-4x-6y+9=0 touches the y-axis.<BR>\n" );
document.write( "Find<BR>\n" );
document.write( "(a) the coordinates of the point of contact.<BR>\n" );
document.write( "(b) the length of the tangent to the circle from the origin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #722306 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=722306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rewrite as x^2-4x+y^2-6y=-9<BR>\n" );
document.write( "complete the square for x and y<BR>\n" );
document.write( "x^2-4x+4+y^2-6y+9=-9+13<BR>\n" );
document.write( "(x-2)^2+(y-3)^2=4<BR>\n" );
document.write( "This is a circle with center (2, 3) and radius 2<BR>\n" );
document.write( "It touches the y-axis where x=0<BR>\n" );
document.write( "Therefore, (-2)^2+(y-3)^2=4<BR>\n" );
document.write( "(y-3)^2=0<BR>\n" );
document.write( "y=3, so it touches at (0,3) and is a \"bounce,\" 3 units from the origin.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C3-sqrt%28-%28x-2%29%5E2%2B4%29%2C3%2B+sqrt%28-%28x-2%29%5E2%2B4%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );