document.write( "Question 1128073: fine the equation of the circle passing through the point (2,1),(0,-3),(4,3) \n" ); document.write( "

Algebra.Com's Answer #744547 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
fine the equation of the circle passing through the point (2,1),(0,-3),(4,3)
\n" ); document.write( "-------------
\n" ); document.write( "there are several ways to do this, here are 2.
\n" ); document.write( "Label the points.
\n" ); document.write( "A(2,1), B(0,-3), C(4,3)
\n" ); document.write( "Find the equations of any 2 sides, AB & AC, AB & BC or AC & BC
\n" ); document.write( "Find the perpendicular bisectors of the 2 sides.
\n" ); document.write( "The intersection of the 2 bisectors is the center.
\n" ); document.write( "The radius is the distance from the center to any of the 3 points.
\n" ); document.write( "===============
\n" ); document.write( "Use a matrix:
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "| x    y    x^2+y^2    1|\r\n" );
document.write( "| 2    1       5       1|\r\n" );
document.write( "| 0   -3       9       1| = 0\r\n" );
document.write( "| 4    3      25       1|\r\n" );
document.write( "

\n" ); document.write( "===========================
\n" ); document.write( "Use can use Excel with the matrix.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );