Question: (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

(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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