document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1146433>Question 1146433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the locus of a point which moves so that its distance from the point C (3, 4) is always equal to 5. <BR>\n" );
document.write( "a. x2 + y2 + 6x  -  8y = 0 ​<BR>\n" );
document.write( "b. x2 + y2 + 6x + 8y = 0 ​ ​ <BR>\n" );
document.write( "​c. x2 + y2  -  6x  -  8y = 0 <BR>\n" );
document.write( "d. x2 + y2  -  6x + 8y = 0<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 #767677 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=767677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it has to be the equation of a circle.<BR>\n" );
document.write( "For a circle of radius K=any positive number,<BR>\n" );
document.write( "centered at (3,4), the equation would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%5E2%2B%28y-4%29%5E2=K%5E2 ALIGN=MIDDLE  ALT=\"%28x-3%29%5E2%2B%28y-4%29%5E2=K%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > , which \"simplifies\" to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2By%5E2-6x-8y=K%5E2-3%5E2-4%5E2 ALIGN=MIDDLE  ALT=\"x%5E3%2By%5E2-6x-8y=K%5E2-3%5E2-4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The answer is obviously<BR>\n" );
document.write( "​c. x2 + y2 - 6x - 8y = 0,<BR>\n" );
document.write( "unless they were tricking you,<BR>\n" );
document.write( "and there is no positive number K such that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K%5E2-3%5E2-4%5E2 ALIGN=MIDDLE  ALT=\"K%5E2-3%5E2-4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E2-3%5E2-4%5E2 ALIGN=MIDDLE  ALT=\"5%5E2-3%5E2-4%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is zero). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );