If the radius of curvature of a concave mirror is $36\, cm$,what is its focal length (in $, cm$)?

Where should an object be placed in front of a concave mirror to obtain its image at the same position?

The laws of reflection are true only for plane mirrors and not for curved mirrors.

If the focal length of a spherical mirror is $20 \ cm$,what is its radius of curvature (in $cm$)?

$(i)$ 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.

Draw ray diagrams showing the image formation by a concave mirror when an object is placed:
$(a)$ Between pole $(P)$ and focus $(F)$ of the mirror.
$(b)$ Between focus $(F)$ and centre of curvature $(C)$ of the mirror.
$(c)$ At centre of curvature $(C)$ of the mirror.
$(d)$ $A$ little beyond centre of curvature $(C)$ of the mirror.
$(e)$ At infinity.