$(a)$ What should be the position of the object,when a concave mirror is to be used $(i)$ as a shaving mirror,and $(ii)$ in torches producing a parallel beam of light? $(b)$ $A$ man standing in front of a mirror finds his image having a very small head and legs of normal size. What type of mirror is used in designing such a mirror?

(N/A) $(i)$ For a shaving mirror,the object (face) should be placed between the pole $(P)$ and the principal focus $(F)$ of the concave mirror to obtain an enlarged,erect,and virtual image.
$(ii)$ In torches,the source of light (bulb) should be placed at the principal focus $(F)$ of the concave mirror to produce a parallel beam of light.
$(b)$ The mirror is a combination of different types of mirrors. $A$ convex mirror is used for the upper part to produce a small head (diminished image),and a plane mirror is used for the lower part to produce an image of normal size.