The cross-section of a reflecting surface is represented by the equation $x^{2} + y^{2} = R^{2}$ as shown in the figure. A ray travelling in the positive $x$ direction is directed toward positive y direction after reflection from the surface at point $M$ . The coordinate of the point $M$ on the reflecting surface is

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x 2 + y 2 = R 2 2 x + 2 y d x d y ​ = 0 d x d y ​ = − y x ​ = tan 4 5 ∘ = 1 ∴ x = − 2 ​ R ​ y = + 2 ​ R ​

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