State the nature of the mirror to be used and the position where an object is to be placed to obtain an image which is real and diminished.

State the nature of the mirror to be used and the position where an object is to be placed to obtain an image which is virtual and diminished.

State the nature of the mirror to be used and the position where an object is to be placed to obtain an image which is real and equal size.

State the nature of the mirror to be used and the position where an object is to be placed to obtain an image which is virtual and of equal size.

Prove that a ray reflected from a plane mirror turns through twice the angle through which the mirror turns.