In the figure shown a thin parallel beam of light is incident on a plane mirror \[{{m}_{1}}\] at small angle \['\theta '.\] \[{{m}_{2}}\] is a concave mirror of focal length \['f'\]. After three successive reflections of this beam the \[x\] and \[y\] coordinates of the image is

• A. \[x=f-d,y=f\theta \]
• B. \[x=d+f,y=f\theta \]
• C. \[x=f-d,y=-f\theta \]
• D. \[x=d-f,y=-f\theta \]