document.write( "Question 1186877: Find the equation of the circle touching the lines 3x + 4y = 12, 4x +3y = 9 and having its center on the line 3x + y = 7 \n" ); document.write( "
Algebra.Com's Answer #817872 by ikleyn(52786)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "May be,  it will sound unexpectedly to you,  but there are  TWO  CIRCLES,  satisfying the imposed conditions.\r
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\n" ); document.write( "\n" ); document.write( "It is because the two given lines form  4  (four,  FOUR)  angles in the coordinate plane.\r
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\n" ); document.write( "\n" ); document.write( "These  4  angles have two different straight lines,  that are their angle bisectors - these two different\r
\n" ); document.write( "\n" ); document.write( "straight lines are perpendicular to each other.\r
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\n" ); document.write( "\n" ); document.write( "The centers of the mentioned circles are intersection points of these two different lines \r
\n" ); document.write( "\n" ); document.write( "(angles bisectors)  with the third line  3x + y = 7.\r
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\n" ); document.write( "\n" ); document.write( "So,  the problem in your post is posed/formulated  INACCURATELY.\r
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