document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=986443>Question 986443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Points O(0,0) and B(0,3) below lie in the standard (x,y) coordinate plane. The collection of all points such that each is twice as far from B as from O forms a circle. The point (sqrt 3, 0) is 1 point on the circle. What are the coordinates of the center of the circle?\r<BR>\n" );
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document.write( "F. (sqrt 3/2, 3/2)<BR>\n" );
document.write( "G. (0,3/2)<BR>\n" );
document.write( "H. (0, 1)<BR>\n" );
document.write( "J. (0,-1)<BR>\n" );
document.write( "K. (0,-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #607208 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=607208\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are saying Distance between (x,y) and B(0,3)  is 2 times distance between (x,y) and O(0,0).  You are expecting, according to description, the points (x,y) are a circle.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-0%29%5E2%2B%28y-3%29%5E2%29=2%2Asqrt%28%28x-0%29%5E2%2B%28y-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-0%29%5E2%2B%28y-3%29%5E2%29=2%2Asqrt%28%28x-0%29%5E2%2B%28y-0%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%2B%28y-3%29%5E2%29=2sqrt%28%28x%29%5E2%2B%28y%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B%28y-3%29%5E2%29=2sqrt%28%28x%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=x%5E2%2B%28y-3%29%5E2=4%28x%5E2%2By%5E2%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y-3%29%5E2=4%28x%5E2%2By%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=x%5E2%2B%28y-3%29%5E2=4x%5E2%2B4y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y-3%29%5E2=4x%5E2%2B4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2-6y%2B9=4x%5E2%2B4y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2-6y%2B9=4x%5E2%2B4y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6y%2B9=3x%5E2%2B3y%5E2 ALIGN=MIDDLE  ALT=\"-6y%2B9=3x%5E2%2B3y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y%2B3=x%5E2%2By%5E2 ALIGN=MIDDLE  ALT=\"-2y%2B3=x%5E2%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B2y=3 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B2y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Want standard form, requiring Completing the Square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2By%5E2%2B2y%2B1=3%2B1 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2%2B2y%2B1=3%2B1\"   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%2B%28y%2B1%29%5E2=4%29 ALIGN=MIDDLE  ALT=\"highlight%28x%5E2%2B%28y%2B1%29%5E2=4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Circle, centered at <b>(0,-1)</b>, and radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29=highlight%282%29 ALIGN=MIDDLE  ALT=\"sqrt%284%29=highlight%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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