document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179502>Question 1179502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A circle with a centre of (0,0) is defined by the equation x2 +y2 = 100. \r<BR>\n" );
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document.write( "Determine the radius of the circle.  \r<BR>\n" );
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document.write( "The points A(0, _ ) , B( _ ,0) and C( _ , _ ) are points on the circle. Determine a possible value to fill in each blank for each point. The point C must not contain any zeroes in its coordinates. Provide calculation to show the points lie on the circle. \r<BR>\n" );
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document.write( "Use analytic geometry to determine the equations of the perpendicular bisectors of the chords AB and AC. \r<BR>\n" );
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document.write( "Show that the point (0,0) is the intersection of the perpendicular bisectors.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809053 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Note: The perpendicular bisector of any chord of a circle passes through the center of the circle.  So this exercise will show that the two perpendicular bisectors we find intersect at (0,0).<br><BR>\n" );
document.write( "Choose A(0,10), B(10,0), and C(6,8).<br><BR>\n" );
document.write( "Chord AB: slope -1; midpoint (5,5); perpendicular slope 1; equation y=x.<br><BR>\n" );
document.write( "Chord AC: slope -1/3; midpoint (3,9); perpendicular slope 3; equation y=3x.<br><BR>\n" );
document.write( "Point of intersection of AB and AC...<br><BR>\n" );
document.write( "y=x; y=3x --> x=3x --> x=0 --> y=0<br><BR>\n" );
document.write( "The intersection is at (0,0), as we knew it would be.<br><BR>\n" );
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