document.write( "Question 133067: AB IS THE DIAMETER OF THE CIRCLE WHOSE CENTER IS O .IF THE COORDINATES OF O ARE (2,1) AND THE COORDINATES OF B (4,6). WHAT ARE THE COORDINATES OF A . PLEASE SEND ME ANSWER \n" ); document.write( "
Algebra.Com's Answer #97286 by cngriffith(27)\"\" \"About 
You can put this solution on YOUR website!
AB IS THE DIAMETER OF THE CIRCLE WHOSE CENTER IS O .IF THE COORDINATES OF O ARE (2,1) AND THE COORDINATES OF B (4,6). WHAT ARE THE COORDINATES OF A . PLEASE SEND ME ANSWER \r
\n" ); document.write( "\n" ); document.write( "O is the center of the circle. The diameter is a segment with endpoints A and B. This makes O the midpoint of segment AB. The Midpoint formula is:\r
\n" ); document.write( "\n" ); document.write( " M=(X1 +X2)/2, (Y1 +Y2)/2\r
\n" ); document.write( "\n" ); document.write( "You are given the coordinates of the midpoint and one endpoint. Adapt the formula:\r
\n" ); document.write( "\n" ); document.write( " X coordinate of Midpoint=(X1 +X2)/2, Y coordinate of Midpoint=(Y1 +Y2)/2
\n" ); document.write( "Substitute the numbers:\r
\n" ); document.write( "\n" ); document.write( " 2=(X+4)/2 , 1=(Y+6)/2 Now solve each equation to find the X and Y coordinates of point A.\r
\n" ); document.write( "\n" ); document.write( " 2=(X+4)/2 , 1=(Y+6)/2
\n" ); document.write( "cross multiply 4=X+4 , 2=Y+6 cross multiply
\n" ); document.write( " X=0 , Y=-4
\n" ); document.write( " A( 0,-4) \n" ); document.write( "
\n" );