document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983406>Question 983406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> . If two circles are concentric and a chord of the larger circle is tangent to the smaller circle, prove that the point of tangency is the midpoint of the chord.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #604188 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=604188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=mananth&illustration_name=chord1\">.\r<BR>\n" );
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document.write( "For the smaller circle AC is the tangent at point B\r<BR>\n" );
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document.write( "Therefore AB is perpendicular to AC. ( Tangent -radius)\r<BR>\n" );
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document.write( "Now for the larger circle AC is the chord and OB is perpendicular to AC at B.\r<BR>\n" );
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document.write( "therefore AB = BC . ( A line drawn perpendicular to a chord from the centre bisects the chord)\r<BR>\n" );
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document.write( "Therefor B is the mid point AC the chord.\r<BR>\n" );
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