(a) Prove that any two distinct tangent lines to a parabola intersect. (b) Demonstrate the result of part (a) by finding the point of intersection of the tangent lines to the parabola x2 − 4x − 4y = 0 at the points (0, 0) and (6, 3).
(a) Prove that any two distinct tangent lines to a parabola intersect. (b) Demonstrate the result of part (a) by finding the point of intersection of the tangent lines to the parabola x2 − 4x − 4y = 0 at the points (0, 0) and (6, 3).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 33E
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(a) Prove that any two distinct tangent lines to a parabola intersect. (b) Demonstrate the result of part (a) by finding the point of intersection of the tangent lines to the parabola x2 − 4x − 4y = 0 at the points (0, 0) and (6, 3).
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