document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064393>Question 1064393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the circle satisfying the given conditions (general equation)\r<BR>\n" );
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document.write( "1. Tangent to the line 4x-3y=6 at (3,2) and passing through (2,-1). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #679448 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=679448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equation of the circle satisfying the given conditions (general equation)\r<BR>\n" );
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document.write( "1. Tangent to the line 4x-3y=6 at (3,2) and passing through (2,-1).<BR>\n" );
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document.write( "Find the line thru (3,2) perpendicular to the given line.<BR>\n" );
document.write( "The center will be on that line.<BR>\n" );
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document.write( "Find the perpendicular bisector of the line between (3,2) and (2,-1).<BR>\n" );
document.write( "The center is also on that line.<BR>\n" );
document.write( "The intersection of the 2 lines is the center, (h,k).<BR>\n" );
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document.write( "The distance from the center to either point is the radius r.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2 ALIGN=MIDDLE  ALT=\"%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The 2 lines are <BR>\n" );
document.write( "x + 3y = 4  Eqn A<BR>\n" );
document.write( "3x + 4y = 17 Eqn B<BR>\n" );
document.write( "3x + 9y = 12  Eqn A times 3<BR>\n" );
document.write( "------------------------------- subtract<BR>\n" );
document.write( "-5y = 5<BR>\n" );
document.write( "y = -1<BR>\n" );
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document.write( "x = 7<BR>\n" );
document.write( "--> center @ (7,-1)<BR>\n" );
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document.write( "Using the point (3,2):<BR>\n" );
document.write( "r^2 = diffy^2 + diffx^2 = 9 + 16 = 25<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%5E2+%2B+%28y%2B1%29%5E2+=+25 ALIGN=MIDDLE  ALT=\"%28x-7%29%5E2+%2B+%28y%2B1%29%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the circle.<BR>\n" );
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document.write( "I'll check it tomorrow.<BR>\n" );
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