At what position should an object be placed in front of a spherical mirror such that the size of the image is equal to that of the object?

Where should an object be placed in front of a concave mirror to get a magnified image ?

The ratio of the size of the image to the size of the object is called-

Show that in a spherical mirror both the object and the image are situated on the same side of the focus.

A rectangular glass slab of thickness 3 cm and of refractive index 1.5 is placed in front of a concave mirror perpendicularly on its axis. The radius of curvature of the mirror is 10 cm. At what point should an object be placed on the principal axis so that its image will be formed on the object?

At what distance in front of a concave mirror (f = 10m) an object is to be placed so that the size of the image will be halved of the size of the object?

An object is placed in front of a convex mirror on the principal axis. With the help of a ray diagram show the position of the image.

What is the magnification of an object placed at the focus of a concave mirror?