Where should an object be placed in front of the concave mirror so as to obtain its virtual, erect and magnified image?

When a spherical mirror is held towards the sun and its sharp image is formed on a piece of carbon paper for some time, a hole is burnt in the carbon paper.

(a) What is the nature of spherical mirror?

(b) Why is a hole burnt in the carbon paper?

(c) At which point of the spherical mirror the carbon paper is placed?

(d) What name is given to the distance between spherical mirror and carbon paper?

(e) What is the advantage of using a carbon paper rather than a white paper?

For what position of an object, a concave mirror forms a real image equal in size to the object?

For which positions of the object does a concave mirror produce an inverted, magnified and real image?

If an object is placed at the focus of a concave mirror, where is the image formed?