Question

A ray of light coming from the point (1, 2) is reflected at a point A on the x-axis and then passes through the point (5, 3). Find the coordinates of the point A.

Answer 1

Let the incident ray strike x-axis at the point A whose coordinates be (x, 0). From the figure, the slope of the reflected ray is given by

Again, the slope of the incident ray is given by

Therefore, the required coordinates of the point A are (13/5, 0)