When the object is placed between the optical centre and the principal focus of a convex lens then the image formed is a virtual erect and diminished?

There are six possibilities of position of object in the case of convex lens:

Índice Show

Object at infinity:
Object at CCentre of Curvature
Object at Focus F1
Summary of Image Formation

Object at infinity:

Convex lens converge parallel rays coming from objet at infinity and a highly diminished - point sized, real and inverted image is formed at principal focus F2.

Fig: Object at Infinity

Properties of Image: Image is highly diminished, real and inverted.

A diminished, real and inverted image is formed between principal focus, F2 and centre of curvature, C2 at the opposite side when an object is placed beyond C1 of a convex lens.

Fig: Object Beyond 2F

Properties of Image: Image is diminished, real and inverted.

Object at CCentre of Curvature

A same sized, real and inverted image is formed at centre of curvature, C2 when object is placed at centre of curvature, C1 of a convex lens.

Fig: Object at 2F

Properties of Image: Image is same size as object, real and inverted.

An enlarged, real and inverted image is formed beyond centre of curvature, C2 when an object is placed between centre of curvature, C1 and principal focus, F1 of a convex lens.

Fig: Object between 2F and F

Properties of Image: Image is enlarged, real and inverted.

Object at Focus F1

An infinitely large, real and inverted image is formed at infinity when object is placed at principal focus, F1 of a convex lens.

Fig: Object at F

Properties of Image: Image is highly enlarged, real and inverted.

A virtual, erect and enlarged image is formed at the same side of lens, when an object is placed between principal focus, F1 and optical centre, O of a convex lens.

Fig: Object between F and O

Properties of Image: Image is enlarged, virtual and erect.

Summary of Image Formation

Object at Infinity	Image is formed at focus. Image is real, inverted and highly diminished in size.
Beyond C	Image is formed between F2 and 2F2. Image is real, inverted and smaller than object.
Between C and F	Image is formed beyond C2 or 2F2. Image is real, inverted and larger than object.
At C	Image is formed at 2F2 or C2. Image is real, inverted and of same size as object.
At F	Image is formed at infinity. Image is real, inverted and highly enlarged.
Between F and O	Image is formed on 2F1. Image is virtual, erect and larger than object.

i) Where should an object be placed so that a real and inverted image of the same size as the object is obtained using a convex lens?
ii) Draw a ray diagram to show the formation of the image as specified in the part a (i).

i) When object is placed at 2F1 (centre of curvature) distance from the optical centre on the principal axis of a convex lens a real and inverted image of the same size of object is formed.ii)