A ray of li

Let the coordinate of point A be (a, 0)

Draw a line (AL) perpendicular to the x –axis.

We know that angle of incidence is equal to angle of reflection. Hence, let

∠BAL =∠CAL = ɸ

Let ∠CAX = Ɵ

Therefore,

∠OAB = 180⁰ –(Ɵ+2ɸ) = 180⁰ –[Ɵ+2(90⁰ - Ɵ)]

= 180⁰ – Ɵ+180⁰ +2Ɵ

= Ɵ

Thus, ∠BAX = 180⁰ – Ɵ

Now, slope of line AC =

------------ (1)

Slope of line AB =

----------------- (2)

From equations (1) and (2), we get,

⇒ 3a – 3 = 10 – 2a

⇒ a =

Therefore, the coordinates of point A are .