If the distance from a point P on the hyperbola x264 − y236 = 1 to its right focus is 8, then the distance from point P to its right collimator is () A. 10B. 3277C. 27D. 325

If the distance from a point P on the hyperbola x264 − y236 = 1 to its right focus is 8, then the distance from point P to its right collimator is () A. 10B. 3277C. 27D. 325

Let the distance from point P to its right guide line be x, ∵ a = 8, C = 10, ∵ e = 54, ∵ 8x = 54, and the solution is x = 325. Therefore, the distance from point P to its right guide line is 325