Focal points on a lens are essential for various optical measurements and applications, such as determining magnification and numerical aperture, which affects resolving power. They help in creating parallel beams of light, as placing a light source at the focal point allows for collimation. There is a common misconception that the focal distance equals the working distance, but they are distinct concepts; the focal point does not dictate the distance required for proper focus. Additionally, lenses have multiple planes of interest, including focal, pupil, and nodal planes, which are interconnected through Fourier transforms. Understanding these principles is crucial for effective lens application in optics.