A ray of light passing through the point (3, 7) reflects on the x-axis at a point A and the reflected ray passes through the point (2, 5), the coordinates of A are

Let p be the given point (3, 7) and the coordinates of A be (x, 0) so, if the ray PA makes an angle θ with the positive direction of x-axis, the reflected ray AQ , where Q is (2, 5), will make the same angle q with the negative direction of x-axis. So the slope of PA = – (the slope of QA)⇒ 73−x=−52−x⇒ 7(2−x)+5(3−x)=0⇒ x=2912⇒    coordinates of A are 2912,0.