Let P(x, y) be a point on the right-hand branch of the hyperbola x2 /a2 y2 /b2 1. As
Chapter 11, Problem 47(choose chapter or problem)
Let P(x, y) be a point on the right-hand branch of the hyperbola x2 /a2 y2 /b2 1. As usual, let F2 denote the focus located at (c, 0). The following steps outline a proof of the fact that the length of the line segment in this case is given by F2P xe a. (a) Explain why (b) In the preceding equation, add the quantity to both sides, and then square both sides. Show that the result can be written as or xc a2 a1F2P2(c) Divide both sides of the preceding equation by a toshow that xe a F2P, as required.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer