document.write( "Question 1086213: What is the equation of the circle passing through (6,2) and tangent to the line x-4y-15=0 at (3,-3). \n" ); document.write( "
Algebra.Com's Answer #700416 by ikleyn(52814)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "There is the third way to solve this problem.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It is to find the center as the intersection of two straight lines.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "One line is the perpendicular to the given line at the tangent point, \n" ); document.write( "and the other line is the perpendicular bisector to the segment, connecting two given points.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this way you need to solve only one system of two linear equations, \n" ); document.write( "and you avoid solving the quadratic equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For many solved problems/samples of this kind see the lesson\r \n" ); document.write( "\n" ); document.write( " - Find the standard equation of a circle\r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |