At what distance should an object be placed to obtain its real, inverted and of same height as the objet by a convex lens?

when an object is kept at centre of curvature of convex lens same size, real and inverted image of an object is formed at centre of curvature as shown in figure below.

Option (A): when an object is kept at focus than image is formed at infinity and is magnified. Therefore, Option A is incorrect.

Option (B): when an object is kept between focus and centre of curvature than image is formed on other side of lens and is magnified (enlarged). Therefore, Option B is incorrect.

Option (C): when an object is kept at centre of curvature than real, inverted image is formed at centre of curvature as explained in explanation. Therefore, option C is correct.

Option (D): when an object is kept between optical centre and focus the image formed is virtual and erect. Therefore, Option D is incorrect.