Option 1 - A convex lens produces both real and virtual images. This statement is correct. A convex lens can create both types of images depending on the position of the object relative to the lens. When the object is placed beyond the focal point, a real and inverted image is formed. When the object is placed between the lens and the focal point, a virtual and upright image is formed.

Option 2 - A concave lens provides both real and virtual images. This statement is incorrect. A concave lens can only produce virtual and diminished images. This is because the lens causes rays of light to diverge, resulting in the formation of a virtual image that appears smaller than the object.

Option 3 - A convex lens can produce images equal, greater and smaller than the size of the object. This statement is correct. The size of the image formed by a convex lens is determined by the relative distances of the object and the lens. If the object is placed beyond the focal point, the image will be smaller. If the object is placed within the focal point, the image will be larger. If the object is placed at the focal point, no image is formed.

Option 4 - A concave lens always provides images smaller than the size of the object. This