document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907764>Question 907764</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.	A circle passes through A(-3,2) and  has center O(1,5). <BR>\n" );
document.write( "(i)	Find the radius of this circle.<BR>\n" );
document.write( "(ii)	Use (i) to find the circle’s equation.<BR>\n" );
document.write( "(iii)	Graph this circle. Expand your scale wisely to make it clear on graph paper.<BR>\n" );
document.write( "(iv)	Label A and O with their coordinates.<BR>\n" );
document.write( "(v)	The circle passes through B(-2,b). Find b.<BR>\n" );
document.write( "(vi)	Add B to your graph and label it with its coordinates.<BR>\n" );
document.write( "(vii)	Draw the tangent line to the circle at B.<BR>\n" );
document.write( "(viii)	Find the equation of the line you just drew.<BR>\n" );
document.write( "(ix)	The line you just drew passes through the point E(100,c). Find c.<BR>\n" );
document.write( "(x)	Exactly how far is E from the center of the circle?<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 #550609 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> O(1,5)<BR>\n" );
document.write( "A(-3,2) r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%5E2+%2B+3%5E3+%29 ALIGN=MIDDLE  ALT=\"sqrt%284%5E2+%2B+3%5E3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "(x-1)^2 + (y-5)^2 = 5^2 circle’s equation<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "O(1,5)<BR>\n" );
document.write( "B(-2,9) r = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%5E3+%2B+%28-4%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%283%5E3+%2B+%28-4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5<BR>\n" );
document.write( "........<BR>\n" );
document.write( "B(-2,9)<BR>\n" );
document.write( "O(1,5) m = 4/-3 = -4/3<BR>\n" );
document.write( "m(tangent line) = 3/4<BR>\n" );
document.write( "y-9 = (3/4)(x+2)<BR>\n" );
document.write( "y = .75x +21/2 (tangent line)<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "B(-2,9)<BR>\n" );
document.write( "E(100,c) m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289-c%29%2F-102+=+3%2F4 ALIGN=MIDDLE  ALT=\"%289-c%29%2F-102+=+3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > 4(9-c) = -306 c = 270/4 = 67.5 E(100,67.5)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+++-10%2C10%2C-10%2C10%2C+++%0D%0A+grid%281%29%2C%0D%0Acircle%28-3%2C+2%2C0.4%29%2C%0D%0Acircle%281%2C+5%2C0.4%29%2C%0D%0Acircle%281%2C+5%2C5%29%2C%0D%0Acircle%28-2%2C+9%2C0.4%29%2C%0D%0Agraph%28+300%2C+300%2C+-10%2C10%2C-10%2C10%2C+0%2C+.75x+%2B+10.5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );