document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=872883>Question 872883</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the lines which are tangent to the circle x^2+y^2=625 & perpendicular to the line 24x-7y+84=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #526511 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=526511\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the lines which are tangent to the circle x^2+y^2=625 & perpendicular to the line 24x-7y+84=0<BR>\n" );
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document.write( "m, the slope of 24x-7y+84=0 is 24/7<BR>\n" );
document.write( "The slope perpendicular = -7/24<BR>\n" );
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document.write( "The slope at any point on a circle about the Origin is -x/y<BR>\n" );
document.write( "-7/24 = -x/y<BR>\n" );
document.write( "7y = 24x --> y = 24x/7<BR>\n" );
document.write( "x^2+y^2=625<BR>\n" );
document.write( "x^2 + (576x^2/49) = 625<BR>\n" );
document.write( "49x^2 + 576x^2 = 30625<BR>\n" );
document.write( "625x^2 = 30625<BR>\n" );
document.write( "x^2 = 49<BR>\n" );
document.write( "x = 7, y = 24<BR>\n" );
document.write( "x = -7, y = -24<BR>\n" );
document.write( "Use the points and the slope (-7/24) to find the eqns of the 2 lines. </SPAN>\n" );
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