Verify that the point P(6, 4square root 3) lies on the

Verify that the point P(6, 4square root 3) lies on the hyperbola 16x^2 – 9y^2 = 144. In Example 1, we found that the foci of this hyperbola were F_1(-5, 0) and F_2(5, 0). Compute the lengths F_1P and F2P, where P is the point (6,4V3). (c) Verify that |F_1P – F_2P| = 2a.

Solution