document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915363>Question 915363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	The points A(-3,5) and B(2,4) are on a circle whose center is at O(1,c).  <BR>\n" );
document.write( "(i)	Find two expressions for the radius of this circle. <BR>\n" );
document.write( "(ii)	Now find the exact value c. [Hint: Both points are the same distance from O.]<BR>\n" );
document.write( "(iii)	Write the equation of this circle.<BR>\n" );
document.write( "(iv)	Find any x- or y-intercepts of this circle. Explain algebraically your steps, and write a complete sentence explanation about the intercepts. Discuss both x and y!<BR>\n" );
document.write( "(v)	Now sketch this circle on graph paper. Label the points A, B, O and those you found in (iv), on your sketch.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555557 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=555557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A(-3,5)<BR>\n" );
document.write( "O(1, c) <BR>\n" );
document.write( ".......<BR>\n" );
document.write( " B(2,4)<BR>\n" );
document.write( "O(1, c)<BR>\n" );
document.write( "...Distance Equal<BR>\n" );
document.write( "16 + (5-c)^2 = 1 + (4-c)^2<BR>\n" );
document.write( "16 + 25 - 10c + C^2 = 1 + 14 -8c + c^2<BR>\n" );
document.write( "26 = 2c<BR>\n" );
document.write( "13 = c<BR>\n" );
document.write( ".........<BR>\n" );
document.write( " B(2,4)<BR>\n" );
document.write( "O(1, 13) r = sqrt( 1 + 81) = sqrt(82)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-1%29%5E2+%2B+%28y+-+13%29%5E2+=+82 ALIGN=MIDDLE  ALT=\"%28x-1%29%5E2+%2B+%28y+-+13%29%5E2+=+82\"   DISABLED_style= \"max-width:90%; height:auto;\" > y-intercept (0,22), x-intercept: none<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+-30%2C30%2C-30%2C30%2C+grid%281%29%2C%0D%0Acircle%28-3%2C+5%2C0.6%29%2C%0D%0Acircle%282%2C+4%2C0.6%29%2C%0D%0Acircle%281%2C13%2Csqrt%2882%29%29%2C%0D%0Acircle%280%2C13%2C0.6%29%2C%0D%0Acircle%280%2C22%2C0.6%29%2C%0D%0Agraph%28+300%2C+300%2C+-30%2C30%2C-30%2C30%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );