document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841777>Question 841777</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problems:\r<BR>\n" );
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document.write( "1.A circle whose centre lies on the line y=3x-1, touches both axes:<BR>\n" );
document.write( "find:<BR>\n" );
document.write( "(A) the equation of the circle<BR>\n" );
document.write( "(B) the points where the circle intersects the line 2y+x=1\r<BR>\n" );
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document.write( "2.Find the equation of the circle which passes through the points (0,3), (-1,2) and (7,-4)\r<BR>\n" );
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document.write( "3.A circle passes through the points (1,-15) and (-11,3). Its centre lies on the line 5y-12x+22=0. Find the coordinates of the centre, the radius and the equation of the circle.\r<BR>\n" );
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document.write( "4.The circle X^2 + Y^2 + 2x - 4y - 11 = 0 and the line X-y+1=0 intersect at A and B.Find the equation of the circle having AB as diamater.\r<BR>\n" );
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document.write( "Thank you in advance!<BR>\n" );
document.write( "Best regards,<BR>\n" );
document.write( "Kalin Mihow </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507194 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=507194\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.A circle whose centre lies on the line y=3x-1, touches both axes:<BR>\n" );
document.write( "find:<BR>\n" );
document.write( "(A) the equation of the circle<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "If by \"touches\" you mean tangent, then the center has to be on the line y = x to be equidistant from both axes.<BR>\n" );
document.write( "Find the intersection of y=3x-1 and y = x.  Call it (h,k)<BR>\n" );
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document.write( "The radius of the circle is the distance, h.<BR>\n" );
document.write( "The eqn is <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( "(B) the points where the circle intersects the line 2y+x=1<BR>\n" );
document.write( "Solve for the 2 points.<BR>\n" );
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document.write( "2.Find the equation of the circle which passes through the points (0,3), (-1,2) and (7,-4)<BR>\n" );
document.write( "Do you know about determinants?<BR>\n" );
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document.write( "3.A circle passes through the points (1,-15) and (-11,3). Its centre lies on the line 5y-12x+22=0. Find the coordinates of the centre, the radius and the equation of the circle.<BR>\n" );
document.write( "Try it, email via the Thank You note for help or to check your work.<BR>\n" );
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document.write( "4.The circle X^2 + Y^2 + 2x - 4y - 11 = 0 and the line X-y+1=0 intersect at A and B.  Find the equation of the circle having AB as diamater.<BR>\n" );
document.write( "Try it, email via the Thank You note for help or to check your work.<BR>\n" );
document.write( " </SPAN>\n" );
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