Two radar stations, situated 100 km apart, detect a moving airplane. The difference in the distances between the airplane and the radar stations is 50 km. Assume that the radar stations are on the y-axis, centered about the origin. Determine the equation of the hyperbolic path of the airplane. My Answer: 2c = 100 c = 50 2a = 50 a = 25 c^2 = a^2 + b^2 50^2 = 25^2 + b^2 b^2 = 2500 - 625 b^2 = 1875 y^2 / 625 - x^2 / 1875 = 1 (or alternatively x^2 / 1875 - y^2 / 625 = -1) Is my answer correct? I believe I have solved the problem correctly but I wanted to double check that I understood this properly.