Where is the image formed when an object is placed at a distance of $2f$ in front of a convex mirror?

$(a)$ Write one use of a concave mirror as well as a convex mirror.
$(b)$ Draw ray diagrams for the following cases when a ray of light:
$(i)$ passing through the centre of curvature of a concave mirror is incident on it.
$(ii)$ parallel to the principal axis is incident on a convex mirror.
$(iii)$ is incident at the pole of a convex mirror.
$(iv)$ passing through the focus of a concave mirror is incident on it.

In a plane mirror,the distance between the image and the mirror is the same as the distance between the object and the mirror.

What is meant by the radius of curvature of a spherical mirror? How is it related to the focal length of the mirror?

You have a spherical mirror. The image of an object placed in front of the mirror is virtual. If the position of the object is changed,the image remains virtual and erect. Is the spherical mirror concave or convex?

The image formed by a concave mirror is observed to be virtual,erect and larger than the object. Where should be the position of the object?