To solve this problem, we need to understand the requirements for an objective lens in an astronomical telescope.$\\$An astronomical telescope is designed to observe distant celestial objects. The objective lens is crucial because it determines the quality of the image. Let's analyze each option:$\\$• Option 1: A large aperture contributes to the quality and visibility of the images.$\\$This is true because a larger aperture allows more light to enter the telescope, which improves image brightness and detail.$\\$• Option 2: A large area of the objective ensures better light gathering power.$\\$This is also true. The light-gathering power of a telescope is proportional to the area of the objective lens. A larger lens collects more light, making faint objects more visible.$\\$• Option 3: A large aperture provides a better resolution.$\\$This is correct as well. The resolution of a telescope, which is its ability to distinguish between two closely spaced objects, improves with a larger aperture. This is because the angular resolution is inversely proportional to the diameter of the lens.$\\$Since all the statements are correct, the best choice is:$\\$• Option 4: All of the above.$\\$Therefore, the correct answer is Option 4, as a lens with a large focal length and large aperture is indeed best suited as an objective of an astronomical telescope for all the reasons mentioned.