The distance from the point P on the hyperbola x ^ 2 / 16-y ^ 2 / 9 = 1 to the right collimator is 12.5, and the distance from P to the right focus is calculated

The distance from the point P on the hyperbola x ^ 2 / 16-y ^ 2 / 9 = 1 to the right collimator is 12.5, and the distance from P to the right focus is calculated

e = c/a = 5/4
According to the second definition of hyperbola, the distance to the focus is the eccentricity times of the distance to the collimator
That is pf = ed = 250 / 16