If an object is placed at the centre of curvature of a concave mirror, the position of the image is

When an object is placed at the centre of curvature (C) of a concave mirror, the image is formed exactly at the centre of curvature. According to the laws of reflection and ray diagrams for spherical mirrors, a ray parallel to the principal axis passes through the focus (F) after reflection, and a ray passing through the focus reflects parallel to the principal axis. These rays intersect at point C on the same side of the mirror as the object. The resulting image is real, inverted, and of the same size as the object. As the object moves from infinity toward the mirror, the image shifts from the focus toward the centre of curvature; once the object reaches C, the image also reaches C. This specific configuration is a standard case in geometrical optics where the object distance equals the image distance (u = v = 2f).