A small luminous point O is placed in front of a vertical plane mirror.
a. (i) Draw a neat labelled ray diagram to show the formation of the image of point O in the plane mirror.
b. (ii) Prove that the perpendicular distance of the image from the mirror is equal to the perpendicular distance of the object from the mirror.
c. (iii) If O is kept 50cm in front of the mirror, calculate the distance between the object and its image.