Final answer:
A reflecting telescope with a larger primary mirror will have both better light-gathering power and improved resolution compared to one with a smaller primary mirror, making (c) the correct choice.
Step-by-step explanation:
A reflecting telescope with a large primary mirror will have greater light-gathering power and resolution compared to a telescope with a smaller primary mirror. This is because the light-gathering power of a telescope is directly related to the diameter of its aperture: a larger aperture allows more light to be collected, which is essential for observing faint objects. Additionally, the resolution, which refers to the detail visible in an image, is also improved with a larger aperture. Larger apertures are capable of producing sharper images by distinguishing smaller features because they can collect more light and reduce the blurring effects that are present with smaller apertures. In conclusion, the correct answer would be (c) better light-gathering power and better resolution.