Riju is running a trial on his game. He struck the white ball in a way that it rebound off the rail (line connecting P4 and P6) and went into the pocket P2.
♦ After the rebound, the ball crossed the x-axis at point X( 2 7 , 0) on the way to the pocket.
♦ The ratio of the distance between the rail and point X and the distance between point X and the pocket was 3:4.
Find the coordinates of the point at which the ball struck the rail. Show your steps.