Proof (a) Prove that if any two tangent lines to a parabola intersect at right angles
Chapter 10, Problem 68(choose chapter or problem)
(a) Prove that if any two tangent lines to a parabola intersect at right angles, their point of intersection must lie on the directrix.
(b) Demonstrate the result of part (a) by showing that the tangent lines to the parabola \(x^{2}-4 x-4 y+8=0\) at the points (-2, 5) and \(\left(3, \frac{5}{4}\right)\) intersect at right angles and that the point of intersection lies on the directrix.
Text Transcription:
x^2 - 4x - 4y + 8 = 0
(3, 5 / 4)
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