document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824655>Question 824655</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A point P moves such that it is always twice as far from the points (4,0) as it is on the line x = 1 <BR>\n" );
document.write( "a) find the equation of the locus<BR>\n" );
document.write( "b) identify the locus and graph <BR>\n" );
document.write( "Thanks very much in advance:)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496680 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=496680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-4%29%5E2%2B%28y%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-4%29%5E2%2B%28y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-8x%2B16%2By%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-8x%2B16%2By%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, distance to given point\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-1%29%5E2%2B%28y-y%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-1%29%5E2%2B%28y-y%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-2x%2B1%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-2x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,distance to given line\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-8x%2B16%2By%5E2%29=2%2Asqrt%28x%5E2-2x%2B1%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-8x%2B16%2By%5E2%29=2%2Asqrt%28x%5E2-2x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, according to description<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%2B16%2By%5E2=4x%5E2-8x%2B4 ALIGN=MIDDLE  ALT=\"x%5E2-8x%2B16%2By%5E2=4x%5E2-8x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2By%5E2=3x%5E2%2B4 ALIGN=MIDDLE  ALT=\"16%2By%5E2=3x%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2By%5E2=3x%5E2 ALIGN=MIDDLE  ALT=\"12%2By%5E2=3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-y%5E2=12 ALIGN=MIDDLE  ALT=\"3x%5E2-y%5E2=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%5E2%2F4-y%5E2%2F12=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2%2F4-y%5E2%2F12=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );