Subject: Re: Parabola and its focus
Date: Tue, 8 Jul 1997 21:27:21 -0400
From: Alexander Bogomolny
Your equation is incorrect. Parabola's focus is at the point F(0, 1/2), right? The line through P and F is given by
(x-2t)/(2t) = (y-2t2)/(2t2-.5)which simplifies to
4tx2 -2(4t2-1)x - 4t = 0
with two roots: 2t and -1/(2t). So that your book is correct.