document.write( "Question 1096065: Find the equation of the circle which passes through points a(0,2), b(2,0) and c(-4,0) \n" ); document.write( "

Algebra.Com's Answer #710531 by ikleyn(52800) $\"\"$ $\"About$

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document.write( "1.  Considering the points A and B, you can conclude that the center lies in the straight line  y = x,  \r\n" );
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document.write( "    which is the angle bisector of the first and the third quadrants right angle.\r\n" );
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document.write( "2.  Considering the points B and C, you can conclude that the center lies in vertical line x = -1.\r\n" );
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document.write( "3.  From n1)  and  n2), it follows that the center is the point (x,y) = (-1,-1).\r\n" );
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document.write( "4.  The radius is   =  = .\r\n" );
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document.write( "5.  Thus the equation of the circle is \r\n" );
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document.write( "     = 10.\r\n" );
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