$(i)$ Under what condition does a concave mirror produce a virtual and magnified image? Draw a labelled ray diagram to show the formation of the image in the above case. Also,state the position of the object to produce a magnified and real image.
$(ii)$ $A$ ray of light moving along the principal axis is falling on a concave mirror. Draw the path of the reflected ray. Also,state the values of the angle of incidence and reflection in this case.

(N/A) $(i)$ $A$ concave mirror produces a virtual and magnified image when the object is placed between the pole $(P)$ and the focus $(F)$ of the mirror.
To produce a magnified and real image,the object must be placed between the center of curvature $(C)$ and the focus $(F)$.
$(ii)$ When a ray of light moves along the principal axis,it strikes the mirror at the pole $(P)$ normally. According to the laws of reflection,the reflected ray will retrace its path along the same principal axis.
In this case,the angle of incidence $(i)$ is $0^{\circ}$ and the angle of reflection $(r)$ is $0^{\circ}$ because the ray is incident normally to the surface.