A person with both myopia and hypermetropia is most likely to use which type of lens?

Correct Option: Bi-focal lens

To understand why a bi-focal lens is used, let us analyze the vision defects mentioned in the question:

1. Myopia (Nearsightedness): A person with myopia can see nearby objects clearly but struggles to see distant objects. This condition is corrected using a concave lens, which diverges light rays so that the image of a distant object forms properly on the retina.

2. Hypermetropia (Farsightedness): A person with hypermetropia can see distant objects clearly but struggles to focus on nearby objects. This condition is corrected using a convex lens, which converges light rays to bring the image of nearby objects onto the retina.

When an individual suffers from both myopia and hypermetropia (a condition often associated with aging, known as presbyopia), they require correction for both near vision and distance vision.

A bi-focal lens combines both types of lenses into a single frame:
- The upper portion consists of a concave lens to facilitate distant vision.
- The lower portion consists of a convex lens to facilitate reading and near vision.

Therefore, a person suffering from both myopia and hypermetropia is most likely to use a bi-focal lens.