document.write( "Question 1106797: find the equation of the circle containing the points P(0,-3) and Q(4,0) and whose center is on the line x+2y=0 \n" ); document.write( "

Algebra.Com's Answer #721782 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "1.  You need to find the center of the circle (h,k) and its radius \"r\". Then the equation of the circle will be \r\n" );
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document.write( "     +  = .\r\n" );
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document.write( "2.  The center of the circle is the intersection of the given line with the perpendicular bisector of the straight line segment \r\n" );
document.write( "    connecting the given points P and Q.\r\n" );
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document.write( "3.  Therefore your algorithm is as follows:\r\n" );
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document.write( "    a)  Determine the slope of the line connecting the given points P and Q.\r\n" );
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document.write( "    b)  Find the middle point R of the segment PQ.\r\n" );
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document.write( "    c)  Write the equation of the perpendicular line to the segment PQ  passing through the point R.\r\n" );
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document.write( "    d)  Find the intersection point of this line with the given line\r\n" );
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document.write( "        as the solution of the system of 2 equations in 2 unknowns.\r\n" );
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document.write( "    d)  This intersection point is the center of the circle.\r\n" );
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document.write( "        Having this intersection point, find the radius of the circle as the distance from the center to any of the two gfiven points.\r\n" );
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\n" ); document.write( "\n" ); document.write( "You can find examples of solutions to similar problem in the lesson\r
\n" ); document.write( "\n" ); document.write( " - Find the standard equation of a circle, Problem 1\r
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