document.write( "Question 1040187: Find the equation of the circle which is tangent to the x-axis at (2,0) and touches the line y=6. \n" ); document.write( "

Algebra.Com's Answer #655160 by ikleyn(52777) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Find the equation of the circle which is tangent to the x-axis at (2,0) and touches the line y=6.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Notice that y= 0 and y = 6 are two parallel tangent lines.\r\n" );
document.write( "So the diameter of the circle is 6 and the radius is 3.\r\n" );
document.write( "\r\n" );
document.write( "The center of the circle is on the vertical line x = 2.\r\n" );
document.write( "\r\n" );
document.write( "Hence, the center is at the point (2,3).\r\n" );
document.write( "\r\n" );
document.write( "So the equation of the circle is \r\n" );
document.write( "\r\n" );
document.write( " = ,   or\r\n" );
document.write( "\r\n" );
document.write( " = .\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );