Which of the following are the exact same distance from a parabola? A. Axis and vertex B. Directrix and focus C. Vertex and locus D. Locus and directrix

The correct answer is B. Directrix and focus. In the world of parabolas, the distance from any point on the curve to the focus (a special point) is exactly equal to the distance from that same point to the directrix (a specific line) — the very definition that gives the parabola its unique shape! This fascinating relationship is essential in applications such as satellite dish design and optics. By placing the receiver at the focus, signals reflect off the dish surface and converge right at that focal point, ensuring the best reception. So, next time you marvel at satellite technology, remember the parabolic magic happening behind the scenes!