document.write( "Question 990592: Find the equation of the circle passing through the points A(3,2),B(5,3) and C(2,5) \n" ); document.write( "

Algebra.Com's Answer #610648 by anand429(138) $\"\"$ $\"About$

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Let centre be (x,y) and radius be r
\n" ); document.write( "Now ,
\n" ); document.write( " $\"%28x-3%29%5E2+%2B+%28y-2%29%5E2+=+r%5E2+\"$ ---------(i)
\n" ); document.write( " $\"%28x-5%29%5E2+%2B+%28y-3%29%5E2+=+r%5E2+\"$ ---------(ii)
\n" ); document.write( " $\"%28x-2%29%5E2+%2B+%28y-5%29%5E2+=+r%5E2+\"$ ---------(iii)
\n" ); document.write( "Subtracting (ii) from (i), we get,
\n" ); document.write( " $\"4x+%2B+2y+-+21+=+0\"$ ---------------------(iv)
\n" ); document.write( "Subtracting (iii) from (i), we get,
\n" ); document.write( " $\"-2x+%2B+6y+-+16+=+0\"$ --------------------(v)
\n" ); document.write( "Solving (iv) and (v), we get,
\n" ); document.write( " x = 47/14
\n" ); document.write( " y = 53/14\r
\n" ); document.write( "\n" ); document.write( "Put it in any equation to get equation of circle.
\n" ); document.write( "(book by S.L.Loney)
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