document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028984>Question 1028984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the general and standard form of the equation of the circle satisfying the given conditions.<BR>\n" );
document.write( "	With center (2, -1) and radius 3<BR>\n" );
document.write( "	With center (-4, 5) and passing through (2, 1)<BR>\n" );
document.write( "	Having the points (-1, -1) and ( 3, 4 ) as ends of the diameter<BR>\n" );
document.write( "	Center at ( 4, 1 ) and touching the y- axis<BR>\n" );
document.write( "	With center at (-2, -1 ) and tangent to the line 4x-3y = 12<BR>\n" );
document.write( "	Passing through ( 1,2), (2,3) and (-2, 1)<BR>\n" );
document.write( "	Passing through (4, 6), (-2,-2) and (-4, 2)<BR>\n" );
document.write( "	Tangent to the line 3x- 4y - 5 = 0 at (3,1) and passing through ( -3, -1)<BR>\n" );
document.write( "	Inscribed in a triangle with sides on the lines x – 3y = -5, 3x + y = 1 and 3x – y = -11.\r<BR>\n" );
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document.write( "Find the general equation of the tangent to the circle<BR>\n" );
document.write( "	  (x - &#12310;3)&#12311;^2  +   (y - &#12310;5)&#12311;^2 = 64 at point ( 3, 3 )<BR>\n" );
document.write( "	x^2 + y^2 – 2x – 24 = 0 at point ( -2, -4 )<BR>\n" );
document.write( "	x^2 + y^2 – 2x – 24 = 0 at point ( -2, -4 )<BR>\n" );
document.write( "	x^2 + y^2 – 6x – 4y - 28 = 0 parallel to the line 4x + 5y = 8<BR>\n" );
document.write( "	x^2 + y^2 – 4y – 9 = 0 through ( 5 , -1 )<BR>\n" );
document.write( "	x^2 + y^2 – 6x – 2y  + 5 = 0  through ( -3, 6 )<BR>\n" );
document.write( "For each pair of equations of circles, find the general equation of the radical axis<BR>\n" );
document.write( "	x^2 + y^2 – 14y + 40 = 0 and   x^2 + y^2 = 4<BR>\n" );
document.write( "	x^2 + y^2 – 14x – 12y  + 65 = 0 and  x^2 + y^2 – 6x – 4y  + 3 = 0   <BR>\n" );
document.write( "	x^2 + y^2 – 12x + 14y  + 60 = 0 and  x^2 + y^2 + 6x + 4y - 3 = 0  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644068 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=644068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It's not likely anyone will do all these.  It might take a day or 2, but it will scroll off the 1st page and be gone.<BR>\n" );
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document.write( "Write the general and standard form of the equation of the circle satisfying the given conditions.<BR>\n" );
document.write( "	With center (2, -1) and radius 3<BR>\n" );
document.write( "A circle or radius r with its center at (h,k) is (x-h)^2 + (y-k)^2 = r^2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "	With center (-4, 5) and passing through (2, 1)<BR>\n" );
document.write( "	Having the points (-1, -1) and ( 3, 4 ) as ends of the diameter<BR>\n" );
document.write( "Find the midpoint, that's the center.  r = 1/2 the distance between the 2 points.  Then it's the same as the 1st problem.<BR>\n" );
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document.write( "	Center at ( 4, 1 ) and touching the y- axis<BR>\n" );
document.write( "It's 4 units from the y-axis --> r = 4<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "	With center at (-2, -1 ) and tangent to the line 4x-3y = 12<BR>\n" );
document.write( "	Passing through ( 1,2), (2,3) and (-2, 1)<BR>\n" );
document.write( "	Passing through (4, 6), (-2,-2) and (-4, 2)<BR>\n" );
document.write( "	Tangent to the line 3x- 4y - 5 = 0 at (3,1) and passing through ( -3, -1)<BR>\n" );
document.write( "	Inscribed in a triangle with sides on the lines x – 3y = -5, 3x + y = 1 and 3x – y = -11.\r<BR>\n" );
document.write( "\n" );
document.write( "Find the general equation of the tangent to the circle<BR>\n" );
document.write( "	  (x - &#12310;3)&#12311;^2  +   (y - &#12310;5)&#12311;^2 = 64 at point ( 3, 3 )<BR>\n" );
document.write( "	x^2 + y^2 – 2x – 24 = 0 at point ( -2, -4 )<BR>\n" );
document.write( "	x^2 + y^2 – 2x – 24 = 0 at point ( -2, -4 )<BR>\n" );
document.write( "	x^2 + y^2 – 6x – 4y - 28 = 0 parallel to the line 4x + 5y = 8<BR>\n" );
document.write( "	x^2 + y^2 – 4y – 9 = 0 through ( 5 , -1 )<BR>\n" );
document.write( "	x^2 + y^2 – 6x – 2y  + 5 = 0  through ( -3, 6 )<BR>\n" );
document.write( "For each pair of equations of circles, find the general equation of the radical axis<BR>\n" );
document.write( "	x^2 + y^2 – 14y + 40 = 0 and   x^2 + y^2 = 4<BR>\n" );
document.write( "	x^2 + y^2 – 14x – 12y  + 65 = 0 and  x^2 + y^2 – 6x – 4y  + 3 = 0   <BR>\n" );
document.write( "	x^2 + y^2 – 12x + 14y  + 60 = 0 and  x^2 + y^2 + 6x + 4y - 3 = 0  <BR>\n" );
document.write( "=============<BR>\n" );
document.write( "PS  Don't put spaces in the (x,y) points. </SPAN>\n" );
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