document.write( "Question 1047542: Find the equation of the circle (in general form) tangent to the line 4x + 5y = 7 and concentric with the circle. (x-4)^2 +y^2 -5=0 \n" ); document.write( "

Algebra.Com's Answer #663055 by ikleyn(52864) $\"\"$ $\"About$

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\n" ); document.write( "Find the equation of the circle (in general form) tangent to the line 4x + 5y = 7 and concentric with the circle. (x-4)^2 +y^2 -5=0
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document.write( "The center of the circle (of both circles) is at the point (4,0).\r\n" );
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document.write( "Find the distance from the point (4,0) to the straight line 4x + 5y = 7.\r\n" );
document.write( "For it, use the formula for the distance from the point to the straight line in a coordinate plane\r\n" );
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document.write( "(for example, from the lesson The distance from a point to a straight line in a coordinate plane in this site).\r\n" );
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document.write( "d =  = .\r\n" );
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document.write( "    (Do not miss \"d\" with the diameter! In opposite, the \"d\" is the radius:\r\n" );
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document.write( "        r = ,  and   = . )\r\n" );
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document.write( "Now the equation of the circle is \r\n" );
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document.write( "     = .\r\n" );
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